Analytical Reasoning Tests :HEC SCHOLARSHIP APTITUDE TEST(HAT)

Tests

HEC SCHOLARSHIP APTITUDE TEST

Analytical Reasoning

Test No 1

Question No 1- 5

A Multinational Company is assigning each of six foreign office to its officers—Fareed, Ghulam, Hamid. Imtiaz, Junaid, and Kabeer—to offices. There are four foreign office L and M are located in

countries with hot area, whereas offices R and S are located in countries with cold areas. The officers must be assigned according to the following rules:

Each foreign office must have at least one of the officers assigned to it.

At least one foreign office in a cold area must have at least two officers assigned to it. Ghulam cannot be assigned to the same foreign office as Kabeer.

Imtiaz must be assigned to a foreign office in a hot area. Junaid must be assigned to a foreign office in a cold area.

1. Which of the following is an acceptable assignment of the officers to the offices?

L	M	R	S
(A) FAREED, GHULAM	IMTIAZ, KABEER	HAMID	JUNAID
(B) GHULAM, KABEER	IMTIAZ	JUNAID	FAREED, HAMID
(C) GHULAM	FAREED, IMTIAZ	KABEER	JUNAID, HAMID
(D) JUNAID	GHULAM, IMTIAZ	HAMID	FAREED, KABEER

(E) KABEER FAREED, HAMID IMTIAZ GHULAM, JUNAID

2. Which of the following must be assigned either to foreign office L or to foreign office M ?

(A) Fareed (B) Ghulam (C) Hamid (D) Imtiaz (E) Kabeer

3. Which of the following CANNOT be true?

(A) One worker is assigned to L.

(B) Two officers are assigned to R.

(D) Three officers are assigned to M.

(E) Three officers are assigned to S.

4. If Ghulam and Kabeer are assigned to L and M, respectively, which of the following must be true? (A) Fareed is assigned to either R or S.

(B) Imtiaz is assigned to either R or S.

(D) Hamid is assigned to L.

(E) Hamid is assigned to S.

5. If Ghulam, Hamid, and Kabeer are among the officers assigned to offices in cold areas, which of the following must be true?

(A) Fareed is aligned to a foreign office to which none of the other five office officers is assigned.

(B) Ghulam is assigned to a foreign office to which none of the other five office officers is assigned.

(D) Hamid is assigned to the same foreign office as Ghulam.

(E) Hamid is assigned to the same foreign office as Kabeer.

Question No 6-11

A room is one of several in which all the furniture is to be repainted. The room

contains exactly four pieces of furniture—a Table, two beds, and a Chair—and no furniture are to be moved into or out of that room. The repainting specifications are as follows:

On completion of repainting, any piece of furniture in a room must be uniformly blue, gray, purple, or white.

On completion of repainting, at least one of the pieces of furniture in a room must be gray, and the Chair must be either blue or white.

If, prior to repainting, a piece of furniture is either orange or yellow, that piece must be white on completion of repainting.

If, prior to repainting, a piece of furniture is purple, that piece must remain purple on completion of repainting.

All of the specification above can and must be met in each room scheduled for repainting.

6. Which of the following could be the furniture colors in the room on completion of repainting?

Table Bed Bed Chair

(A) Yellow Blue White Purple

(B) White Gray Gray Blue

(D) Blue Purple White Purple

(E) Purple White Blue Gray

7. If, prior to repainting, one bed in the room is orange and the other bed is purple, which of the following must be true of the furniture in the room on completion of repainting?

(A) The Table is gray

(B) Exactly one of the beds is blue (C) Exactly one of the beds is orange.

(D) Both of the beds are white.

(E) The Chair is purple.

8. If. Prior to repainting, the Chair in the room is gray and the other three pieces of furniture are white, then of these four pieces of furniture there must be how many that are painted a color that differs from its color prior to repainting?

(A) Four (B) Three (C) Two (D) One (E) None

9. Prior to repainting, and given the repainting specifications, the Chair in the room could have been any of the following colors EXCEPT

(A) Blue (B) Gray (C) Purple (D) White (E) Yellow

10. If, prior to repainting, the Table is white, one bed is orange, one bed is purple, and the Chair is gray, which of the following must be true of the furniture in the room on completion of repainting?

(A) At least one piece of furniture is blue.

(B) Only one piece of furniture is gray.

(D) Exactly two pieces of furniture are white

(E) Exactly two pieces of furniture are changed in color as a result of repainting.

11. Which of the following could be true of the furniture in the room prior to repainting if, also prior to repainting, three of the pieces of furniture in the room are purple?

(A) The Chair is blue.

(B) The Chair is gray

(D) One piece of furniture is yellow

(E) The fourth piece of furniture also is purple.

Question No 12- 14

A engineer is planning to build a housing complex on an empty blocks of land. Exactly seven different designs of houses—F, G, H, I, J, K, and L—will be built in the complex. The complex will contain several blocks, and the engineer plans to put houses of at least three different designs on each block. The engineer will build the complex according to the following rules:

Any block that has design L on it must also have design J on it.

Any block adjacent to one that has on it both design H and design K must have on it design I and design

No block adjacent to one that has on it both design R and design L can have on it either design I or design J

No block can have on it both design H and design F.

12. Which of the following can be the complete selection of house designs on a block?

(A) F, G, H

(B) F, H, K

(E) I, K, L

13. Which of the following house designs must be on a block that is adjacent to one that has on it only designs H, I, J, K, and L?

(A) F

(B) R

(D) J

(E) K

14. Which of the following can be the complete selection of house designs for a block that is adjacent to exactly one block, if that one block has on it designs H, I, J, and K only?

(A) H, I, and K (B) I, K, and L

(D) H, I, J, and K

(E) I, J, K, and L

Question No 15-21

In a game, exactly six inverted caps stand side by side in a straight line, and each has exactly one paper hidden under it. The caps are numbered consecutively 1 through 6. Each of the papers is painted a single solid color. The colors of the papers are gold, mauve, olive, pink, silver, and white. The papers have been hidden under the caps in a manner that conforms to the following conditions:

The pink paper must be hidden under a lower-numbered cap than the olive paper.

The silver paper must be hidden under a cap immediately adjacent to the cap under which the mauve paper is hidden.

The gold paper must be hidden under cap 5.

15. Which of the following could be the colors of the papers under the caps, in order from 1 through 6?

(A) Gold, white, mauve, silver, pink, olive

(B) Mauve, gold, pink, silver, olive, white

(D) Olive, white, silver, mauve, gold, pink

(E) Silver, pink, mauve, white, gold, olive

16. If the mauve paper is under cap 4, the silver paper must be under cap (A) 1 (B) 2 (C) 3 (D) 5

(E) 6

17. A paper of which of the following colors could be under cap 6?

(A) Gold (B) Mauve (C) Pink (D) Silver (E) White

18. If the pink paper is under cap 4, the olive paper must be under cap (A) 1 (B) 2 (C) 3 (D) 5 (E) 6

19. Which of the following must be true?

(A) The gold paper is under a lower-numbered cap than the white paper.

(B) The olive paper is under a lower-numbered cap than the gold paper.

(D) The pink paper is under a lower-numbered cap than the silver paper.

(E) The silver paper is under a lower-numbered cap than the white paper.

20. If the olive paper is under cap 2, papers of which of the following colors could be under caps immediately adjacent to each other?

(A) Gold and mauve

(B) Gold and pink

(D) Pink and silver

(E) Silver and white

21. If the mauve paper is under cap 1, papers of which of the following colors must be under caps immediately adjacent to each other?

(A) Gold and olive

(B) Gold and white

(E) Silver and white

Test No 2

Question No 1 - 5

In a display of products available from a textile manufacturer, exactly eight dresses are to be displayed on eight stands that are lined up in a straight line and numbered consecutively 1 through 8 from left to right. There are three Green dresses, two Blue dresses, two White dresses, and one Tan dress. The dresses must be displayed according to the following conditions:

At least one of the Blue dresses must be next to a White dress. The Tan dress cannot be next to a White dress.

The three Green dresses cannot be placed on three consecutive stands. Stand 5 must hold a Green dress.

Either stand 1 or stand 8 or both must hold a White dress.

1. Which of the following is an acceptable ordering of colors of dresses from left to right?

S 1 S 2 S 3 S 4 S 5 S 6 S 7 S 8

(A) GREEN GREEN WHITE TAN GREEN BLUE BLUE WHITE

(B) TAN GREEN WHITE GREEN BLUE BLUE GREEN WHITE

(D) WHITE GREEN BLUE WHITE GREEN TAN BLUE GREEN

(E) WHITE GREEN WHITE GREEN GREEN BLUE TAN BLUE

2. If a Green dress is placed on stand 4, another Green dress could be placed on any of the following stands EXCEPT

(A) 1

(B) 3 (C) 5

(D) 7

(E) 8

3. If Blue dresses are on stands 1 and 2, which of the following must be true?

(A) A Green dress is on stand 3. (B) The Tan dress is on stand 4.

(D) A White dress is on stand 6.

(E) The Tan dress is on stand 8.

4. If stand 2 holds an Tan dress, which of the following must be true?

(A) Stand 1 holds a Green dress.

(B) Stand 3 holds a Blue dress.

(D) Stand 7 holds a White dress. (E) Stand 8 holds a White dress.

5. If stands 1 and 3 hold Green dresses, any of the following could be true EXCEPT:

(A) Stand 2 holds a White dress.

(B) Stand 4 holds a Tan dress.

(D) Stand 7 holds a White dress.

(E) Stand 7 holds a Tan dress.

Question No 6- 11

A professor of chemistry must divide eight practical tasks---A, B, C, D, E, F, G, H--- into two groups of four acts each, one group scheduled to perform, one task at a time, in instrument 1 and the other group scheduled to perform, also one task at a time, in instrument 2. All acts take equally long to perform, and every task that takes palace in one of the instruments must be scheduled for exactly the sane time slot as a task that takes place in the other instrument. The schedule must also conform to the following conditions:

Task A must perform in one of the instruments at the same time that task C perform in the other instrument.

Task B must perform in one of the instruments at the same time that task D perform in the other instrument.

Task E must perform in the same instrument as Task A Task F must perform in the same instrument as Task D

Task G must be the second task that perform in instrument 2

6. Which of the following, without regard to the order in which they will be performed, could be the group of acts to be scheduled for performance in instrument 1?

(A) A, B, C, and. F

(B) A, B. D, and E

(C) B, C, D, and F (D) C, D, F, and H (E) D. E, F, and H.

7. If task F performs in instrument 1, which of the following acts must perform in instrument 2?

(A) A (B) B (C) C (D) E (E) H

8. If task E must perform in one of the instruments at the same time that task F performs in the other instrument, which of the following must be the second task in instrument 1?

(A) A (B) B (C) C (D) D (E) H

9. If the order, from first to last, of practical tasks in instrument 2 is D, G, F, C, which of the following is an accept able order of acts in instrument 1, also from first to last?

(A) A, E, B. H

(B) B, H, A, E

(D) H, B. A, E (E) H, E, B. A

10. If task A must perform between task G and task E in instrument 2, which of the following must be the first task in instrument 1?

(A) B (B) C (C) D (D) F (E) H

11. If task F must take place in instrument 1 immediately after task A and immediately before task E, which task must be the third task in instrument 2?

(A) B (B) C (C) D (D)F (E) H

Question No 12- 14

Students at the Institute of Business Administration must complete, a total of twelve courses selected from three different general areas—marketing, finance, and human resources—in order to graduate. The students must meet the following course distribution requirements:

At least six of the required twelve courses must be from finance.

At least five of the required twelve courses must be from marketing and human resources, with at least one, but no more than three, selected from marketing.

12. If a student has completed six finance courses, all of the following are possible groups of courses that fulfill the course distribution requirements EXCEPT (A) Three marketing courses and three social science courses

(B) Two marketing courses and four human resources courses

(D) one-marketing course, two finance courses, and three human resources courses

(E) Three marketing courses, one finance course, and two human resources courses

13. The minimum number of human resources courses required in order to fulfill the course distribution requirements is

(A) 1

(B) 2

(D) 4

(E) 5

14. If a student has completed six finance courses and one human resources course, the possible groups of courses to fulfill the course distribution requirements must include at least

(A) two marketing courses

(B) three marketing courses

(D) one human resources course

(E) three human resources courses

Question No 15- 21

Two boys singers, F and G; two Girls singers, H and I; two boys comedians, J and K; and two girls comedians, L and M, are the eight actors who are to perform in a club on a certain night. Each actor is to perform alone and only once that night. The .actors may perform in any order that conforms to the following restrictions:

The performances by singers and the performances by comedians must exchange throughout the night.

The first performance that night must be by a girls actor and the second performance by a boys actor.

The final performance must, be by a boys singer.

15. Which of the following could be the last of the actors to perform?

(A) H (B) G (C) J (D) I (E) K

16. Which of the following could be the first of the actors to perform?

(A) F (B) H (C) M (D) I (E) K

17. If H is to perform fourth, which of the following must perform, sixth?

(A) F (B) G (C) M (D) I (E) K

18. If M is to perform seventh, which of the following must perform first? (A) L (B)H (C) G (D) J

(E) I

19. If F is to perform eighth, which of the following must perform second?

(A) H (B) G (C) J (D) I (E) k

20. If J is to perform third, K must perform

(A) first or fifth

(B) second or fifth

(D) fifth or seventh

(E) sixth or seventh

21. If L, is to perform third, I fourth, and K fifth, which of the following must perform sixth?

(A) F (B) H (C) G (D) J (E) M

Test No 3

At the start of a two-week hiking trip, eight girls— Fozia, Hina, Juwaria, Kiren, Milaka, Samina, Tamina, and Raheela—will divide into a. Lake Group and a Mountain Group of four members each. After following different trails for one week, the groups will meet and the girls will again divide into a Lake Group and a Mountain Group of four members each, which will again follow different trails for a week. The groups must be formed with the following restrictions:

For the first week, Tamina cannot be in the same group as Raheela.

For the second week.' both Tamina and Raheela must be in the Lake Group.

For each of the two weeks, if Fozia is in the Mountain Group, Kiren must also be in the Mountain Group.

For each of the two weeks, Juwaria must be in the same group as Milaka.

1. Which of the following could be the members of the Lake Group for the first week?

(A) Fozia, Hina, Kiren, and Raheela

(B) Fozia, Kiren, Milaka, and Samina

(D) Hina, Kiren, Tamina, and Raheela

(E) Hina, Samina, Tamina, and Raheela

2. If Milaka is in the Lake Group for the second week, which of the following must be the members of the Mountain Group for that week?

(A) Fozia, Hina, Juwaria, and Samina (B) Fozia, Hina, Kiren, and Samina.

(D) Hina, Juwaria, Samina, and Raheela

(E) Juwaria, Kiren, Tamina, and Raheela

3. If, for each week, Samina is in a different group from Tamina, Samina must be in a group with which of the following for exactly one week?

(A) Fozia

(B) Hina

(D) Milaka

(E) Raheela

4. If Juwaria is in the Mountain Group for the first week, which of the following must be in the Lake Group for that week?

(A) Fozia

(B) Hina

(D) Samina

(E) Tamina

5. If exactly two girls change groups at the end of the first week, those two girls could be which of the following? (A) Hina and Kiren

(B) Hina and Samina

(D) Kiren and Raheela

(E) Tamina and Raheela

Question No 6 - 11

A Human Resources Manager is scheduling a single interview with each of seven candidates: Fahid, Ghalib, Junaid, Mohsin, Naveed, Pervaiz, and Tanveer. Each interview is to be 30 minutes in length, and the interviews are to be scheduled back-to-back, starting at 9 a.m., according to the following conditions:

Ghalib's interview must be scheduled to begin at either 9 a.m. or 10:30 a.m. Pervaiz's interview must be scheduled either as the next interview after Ghalib's interview or as the next interview after Naveed' interview.

Naveed's interview must be scheduled to occur sometime after Mohsin's interview and sometime before Fahid's interview.

Junaid's interview must be scheduled to begin exactly one hour after Tanveer's interview is scheduled to begin.

6. Which of the following is an acceptable schedule for the seven people?

9a.m. 9:30a.m. 10a.m. 10:30a.m. 11a.m. 11:30a.m. 12p.m. (A) Ghalib Naveed Pervaiz Mohsin Tanveer Fahid Junaid

(B) Ghalib Pervaiz Tanveer Mohsin Junaid Naveed Fahid (C) Mohsin Ghalib Pervaiz Tanveer Naveed Junaid Fahid (D) Mohsin Tanveer Junaid Ghalib Naveed Pervaiz Fahid

(E) Tanveer Pervaiz Junaid Ghalib Mohsin Naveed Fahid

7. Which of the following people can be scheduled for the interview that begins at 9 a.m.?

(A) Fahid (B) Junaid (C) Mohsin

(D) Naveed (E) Pervaiz

8. The earliest time that Junaid's interview can be schedule to begin is (A) 9:30 a.m. (B) 10 a.m. (C) 10:30 a.m. (D) 11 a.m. (E) 11:30 a.m.

9. If Naveed’s interview is scheduled to begin at ' 9:30 a.m., who must be scheduled for the interview that begins at 11a.m.?

(A) Fahid

(B) Junaid

(E) Tanveer

10. If the interview schedule shows Tanveer's interview as the next after Pervaiz's and Pervaiz's interview as the next after Naveed', how long after Ghalib's interview is scheduled to begin must Junaid's interview be schedule to begin?

(A) 30 minutes

(B) 1 hour

(D) 2 hours

(E) 3 hours

11. If Tanveer is scheduled for the interview that begins at 9 a.m., Fahid's interview must be scheduled to begin at (A) 9:30 a.m.

(B) 10:30 a.m.

(D) 11:30a.nu

(E) 12:00 noon

Question No 12 - 14

A book society holds two discussion sessions each summer. The discussion leader of the society is selecting two Sets of books—Set 1 and Set 2—for the sessions. She is choosing from seven books—F, G, H, I, J, K, and L. Set 1 will contain four of the books and Set 2 will contain the other three books. The leader must select the books for each Set according to the following restrictions:

F cannot be in the same Set as G.

If J is in Set 2, L must also be in Set 2. If L is in Set 1, I must also be in Set 1.

12. If F and L are in Set 2, any of the following books can also be in Set 2 EXCEPT

(A) G

(B) H

(D) J

(E) K

13. If L is in Set 1, which of the following must be true?

(A) F is in Set 1.

(B) H is in Set 2.

(D) G is in the same Set as H.

(E) I is in the same Set as K.

14. If J is in Set 2, which of the following must be true?

(A) F is in Set 2.

(B) G is in Set 2.

(D) K is in the same Set as L.

(E) L is in the same Set as G.

Question No 15 - 21

Six doggies—R, V, W, X, Y, Z—must each be scheduled for examination by a veterinarian. The doggies are to be examined one at a time in six consecutive time slots on the same day according to the following conditions:

W cannot be examined immediately before or immediately after X.

V must be examined immediately before Z. R must be examined fourth.

15. Which of the following is an acceptable examination schedule for the doggies, in order from first examined to last examine?

(A) V, Y, X, R, W, Z

(B) V, Z, Y, R, X, W

(D) X, Y, W, R, V, Z

(E) Y, W, X, R, V, Z

16. If V is examined second, which of the following must be true?

(A) R is examined at some time before X.

(B) W is examined at some time before Y. (C) Y is examined at some time after R (D) W is examined sixth.

(E) X is examined first,

17. X can be examined in any of the following time slots EXCEPT

(A) First (B) second (C) third (D) fifth (E) sixth

18. If V is examined first, Y must be examined

(A) immediately before R

(B) immediately before X

(D) at some time after R

(E) at some time after X

19. If X is examined sixth, which of the following is a complete and accurate list of the time slots any one of which could be the time slot in which W is examined? (A) First

(B) First, second

(D) First, second, third

(E) Second, third, fifth

20. If Z is examined at some time before W is examined, V can be examined

(A) immediately after X

(B) immediately after Y

(D) at some time after W,

(E) at some time after R

21. If both W and Y are examined at some time after R is examined, X must be examined

(A) first.

(B) second

(D) first or else third

(E) second or else third

Test No 4

Question No 1 - 5

In order to gain full course credit for him tour of a foreign city. Zeeshan must visit exactly seven famous places of interest-—a foreign office, a river, the hill, a library, a mosque, a club, and a theater. Any tour plan that Zeeshan devises will allow him to keep to him timetable and is thus acceptable, except that he must plan his tour to conform with the following conditions:

The foreign office must be one of the first three places visited. The hill must be visited immediately before the river.

The library can be neither the first nor the last place visited. The mosque must be either the first or the last place visited. The club must be one of the last three places visited.

1. Which of the following is an acceptable order in which Zeeshan may tour all seven places of interest?

(A) Foreign office, theater, hill, library, club, river, and mosque (B) Hill, river, foreign office, library, theater, club, and mosque

(D) Mosque, foreign office, club, hill, library. river, and theater

(E) Mosque, library, hill, river, foreign office, club, and theater

2. If, on him tour. Zeeshan visits the theater, the library, and the foreign office, one directly after the other in the order given, he must visit the river

(A) second

(B) third

(D) fifth

(E) sixth

3. If, Zeeshan begins him tour at the hill, which of the following could be the fourth place of interest he visits on the tour?

(A) The foreign office

(B) The river

(D) The mosque

(E) The club

4. If Zeeshan is to visit the club sixth, he could visit the hill in any of the following positions on him tour EXCEPT

(A) first

(B) second

(D) fourth

(E) fifth

5. If Zeeshan visits exactly one place of interest between him visits to the foreign office and the club, that place must be either the

(A) river or the hill

(B) river or the theater

(D) library or the mosque

(E) library or the theater

Question No 6 - 12

The administrator of a commercial designing Firm is scheduling exactly six tasks—J, K, L, M, N, and O—for a particular week, Monday through Saturday. Each task can be completed in one full day, and exactly one task will be 'scheduled for each day. The tasks must be scheduled according to the following conditions:

J must be completed sometime before L is completed.

Mmust be completed on the day immediately before or the day immediately after the day on which O is completed.

N must be completed on Thursday.

6. Which of the following is an acceptable schedule of tasks for the week?

Mon. Tues. Wed. Thurs. Fri.	Sat.
(A) J K M N O	L
(B) J N L O M	K
(C) K O M N L	J
(D) M O J N K	L
(E) O J M N L	K

7. Any of the following could be completed on Saturday EXCEPT

(A) J (B) K (C) L (D)M (E) O

8. If K is completed on Wednesday, which of the following could be true?

(A) J is completed on Tuesday. (B) L is completed on Monday.

9. If O is completed on Monday, which of the following must be true?

(A) J is completed sometime before K.

(B) J is completed sometime before N.

(D) N is completed sometime before K. (E) N is completed sometime before L.

10. If J is completed on Tuesday, which of the following must be true?

(A) K is completed on Monday. (B) L is completed on Thursday.

(E) O is completed on Saturday.

11. If M is completed on Tuesday, any of the following could be true EXCEPT:

(A) J is completed on Monday.

(B) K is completed on Saturday.

(E) O is completed on Wednesday.

12. If K is completed on Friday, which of *he following must be true?

(A) J is completed on Monday.

(B) J is completed on Wednesday.

(D) M is completed on Monday.

(E) O is completed on Tuesday.

Question No 13 - 15

Retail Store identify individual product by means of a four-symbol identification code running left to right. The symbols used are the four digits 6, 7, 8, and 9 and the four letters L, M. N, and O.

Each code consists of two letters and two digits.

The two letters must be next to each other, and the two digits must be next to each other, Of the two digits, the left digit must be less than the right digit. The two letters must be dissimilar letters.

13. Which of the following could be the third symbol in a code in which the fourth symbol is 3? (A) L

(B) M (C) O

(D) 6

(E) 9

14. Which of the following must be true of any code in which the letter L occurs?

(A) The letter M also occurs in that code.

(B) The letter N also occurs in that code.

(D) The letter L occurs in that code exactly once.

(E) The letter L occurs in that code exactly twice.

15. If the first symbol in a code is 7, any one of the following symbols could occur in one of the remaining three positions EXCEPT the

(A) digit 6

(B) digit 8

(D) letter N

(E) letter O

Question No 16 - 22

Exactly six different essays will appear in a coming issue of a magazine. Three of the essays— G, I, and J— are by the writer K, and the other three essays—M, N, and P—are by the writer Y. Each essay will appear exactly once in the issue, and a essay must appear on each of the pages 3, 6, 9. 12, 15, and 18. The order in which the essays appear in the issue will be governed by the following conditions:

The essays on pages 3, 9, and 15 must all be by the same writer. I must precede P.

M must precede J.

16. Which of the following is an acceptable order, from first to last, in which the essays can appear in the magazine?

(A) I, P, M, G, N, J

(B) J, N, I, P, G, M

(D) M, I. P, G, N, J (E) N, G, M, J, P, I

17. J could appear on any of the following pages EXCEPT (A) 3 (B) 6 (C) 9 (D) 12 .(E) 15

18. If N appears on page 6, which of the following essays must appear on page 12?

(A) G (B) I (C) J (D) M (E) P

19. If an essay by K appears on page 3, which of the following is a pair of essays either of which could appear on page 18 ?

(A) G and J

(B) G and M

(D) M and N (E) N and P

20. If G and N appear on pages 15 and 18, respectively, which of the following is a pair of essays that must appear on pages 3 and 6, respectively?

(A) I and J

(B) I and M

(D) J and M

(E) J and P

21. If P appears on page 6, G must appear on which of the following pages? (A) 3 (B) 9 (C) 12 (D) 15 (E) 18

22. If I appears on page 12, which of the following is a complete and accurate list of all the essays any one of which could appear on page 9?

(A) M

(B) P

(D) N, P

(E) M, N, P

Test No 5

Question No 1 - 5

Three desk shelves—I, II, and III—are being stocked with seven types of articles. Bred, Biscuits, Pizzas, Snakes, Cake, Sweet, and Sandwich are to be placed in the shelves so that the goods belonging to any given type are all together in one shelf and no shelf contains more than three types of goods. The arrangement of the types of goods is subject to the following further constraints:

Bred and Cake must be in a shelf together.

Neither Biscuits nor Snakes can be in the same shelf as Pizzas. Neither Biscuits nor Snakes can be in the same shelf as Sweet. The Sweet must be in either shelf I or shelf' II.

Each type of goods must be in some shelf or other.

1. Which of the following is an acceptable arrangement?

Shelf I Shelf II Shelf III

(A) BISCUITS, Sweet Sandwich Bred, PIZZAS, CAKE

(B) BISCUITS, PIZZAS, Sweet Snakes Bred, CAKE (C) PIZZAS,

Sweet, Sandwich Bred, BISCUITS, Snakes CAKE

(D) PIZZAS, Sweet, Sandwich BISCUITS, Snakes Bred, CAKE

(E) PIZZAS, Sandwich BISCUITS, Snakes Bred, CAKE, Sweet

2. If Pizzas are in I and Sweet is in II, which of the following must be true?

(A) Bred are in I.

(B) Bred are in U.

(D) Biscuits are in II.

(E) Biscuits are in III.

3. If Pizzas are in II and Sweet is in I. any of the following can be true EXCEPT:

(A) Bred are in II.

(B) Bred are in III.

(D) Cakes are in II.

(E) Sandwich are in III.

4. If Bred, Cake, and Sandwich are in I, which of the following must be true?

(A) Biscuits are in II.

(B) Pizzas are in I.

(E) Snakes are in III.

5. If Cake is in II, which of the following is acceptable? (A) Bred are in 1 and sandwich are in II.

(B) Biscuits are in I and Snakes are in II.

(D) Snakes are in I and Sandwich are in II.

(E) Sweet is in I and Pizzas are in II.

Question No 6 - 11

A organizer must group nine paintings— P, Q, R, S, T, U, V, W, and X—in twelve stands numbered consecutively from 1-12. The paintings must be in three groups, each group representing a different color. The groups must be separated from each other by at least one unused wall stand. Three of the paintings are from the Green color, two from the Blue color, and four from the White color.

Unused wail stands cannot occur within groups. Q and S are paintings from different colors.

S, T, and U are all paintings from the same color. Stand number 5 is always empty.

P and V are Green-color paintings. W is a Blue-color painting.

6. If stand 4 is to remain empty, which of the following is true?

(A) Stand number 10 must be empty.

(B) The groups of paintings must be hung in white, blue and green order by color.

(D) A Blue-color painting must be hung in stand 1.

(E) A White-color painting must be hung in stand 12.

7. If the paintings are hung in white, blue and green order by color, the unused wall stands could be

(A) 1, 5, and 10

(B) 1,6, and 10

(D) 5, 8, and 12

(E) 5, 9, and 10

8. Which of the following is a stand that CANNOT be occupied by a Blue-color painting?

(A) Stand 1 (B) Stand 6 (C) Stands (D) Stand 11 (E) Stand 12

9. If S hangs in stand 11, which of the following is a possible arrangement for stands 8 and 9 ? (A) P in 8 and V in 9

(B) T in 8 and Q in 9

(D) 8 unused and R in 9 (E) 8 unused and P in 9

10. If the White-color paintings are hung in stands 1- 4, which of the following CANNOT be true? (A) Stand 8 is unused.

(B) Stand 9 is unused.

(D) V is hung in stand 12. (E) W is .hung in stand 9.

11. If the first five paintings, in numerical order of stands, are P, X, V, W, Q, which of the following must be true?

(A) Either stand 1 or stand 4 is unused.

(B) Either stand 7 or stand 12 is unused.

(D) Two unused stands separate the Green-color and Blue-color paintings. . (E) Two unused stands separate the Blue-color and White-color paintings.

Question No 12 - 14

A chemist has exactly four unlabeled glasses containing colorless liquids standing on a laboratory shelf. The chemist knows that the only six liquids that the glasses could possibly contain are pure M, pure N, pure O, or any combination of two of these, and that no two glasses are filled with the same liquid. The only feasible way of testing for the identity .of the liquids is to use strips of a special white reactive paper that turns Green, Brown, or Purple, depending on which of certain liquids it is dipped in. The full table of color changes and of the triggers for those changes is given below:

Green Brown Purple

Pure N Pure M M combine with N

N combine with O Pure O M combine with O

M, N, and O Combine together

12. If none of the four liquids turns the reactive paper Purple, each of the following must be the contents of one of the glasses EXCEPT

(A) pure M

(B) pure N

(D) N combined with O

(E) M, N, and O combined together

13. If the liquid in the first glass tested turns the reactive paper Green, and if the liquid in the second glass tested turns the paper Purple, then a combination of some of the liquid from each of the first two glasses tested will turn the reactive paper

(A) Green

(B) Purple

(D) either Green or Purple

(E) either Brown or Purple

14. If the liquid in the first glass tested turns the reactive paper Green and the liquid in the second glass tested turns it Brown, and if a combination of some of the liquid from each of the first two glasses tested turns it Green, then-which of the following must be true?

(A) The first glass tested contains pure N.

(B) The first glass tested contains N combined with O.

(D) The second glass tested contains pure O.

(E) The second glass tested contains N combined with O.

Question No 15 - 21

Exactly seven boys—F, G, H, I, J, K, and L—are to be divided into two study teams, team 1 and team 2. Team 1 must have three members, and team 2 must have four members. The boys are being assigned to teams according to the following conditions: F cannot be in the same team as H.

If G is in team 1, I must be in team 1.

If J is in team 1, H must be in team 2. K must be in team 2.

15. Which of the following is an acceptable assignment of the boys to the two teams?. Team 1 Team 2

(A) F, G, L	H, I, J, K
(B) F, H. I	G, J, K, L
(C) H, I, K	F, G, J, L
(D) H, I, L	F, G, J, K
(E) H, J, L	F, G, I, K

16. If F is in team 2, which of the following must also be in team 2? (A) G (C) H (C) I

(D) J (E) L

17. If J is in-team 1, which of the following must also be in team 1?

(A) F (B) G (C) H (D) I (E) L

18. If H and L are both in team 1, which of the following must be true?

(A) G is in the same team as I.

(B) G is in the same team as J.

(D) J is in the same team as H. (E) L is in the same team as K.

19. If J is in the same team as H, any of the following is a pair of boys who could be in a team together EXCEPT

(A) F and G

(B) G and L

(D) I and L

(E) J and K

20. If I is in the same team as L, which of the following must be true?

(A) F is in team 1.

(B) G is in team 1. (C) H is in team 1. (D) J is in team 2.

(E) L is in team 2.

21. If G is in team 1, which of the following must be true?

(A) F is in team 1. (B) H is in team 1.

Test No 6

Question No 1 - 5

A Electrical Engineer is experimenting with varying arrangements of exactly six units that are electrical bulbs—T, U, V, W, X, and Y—in a loop containing eight positions, each capable of containing one bulb. In each arrangement, each bulb is at one of the eight positions and two positions are empty. In devising arrangements, the Electrical Engineer must obey the following restrictions:

T must be directly adjacent to U. X must be directly adjacent to Y.

W must be directly adjacent to Y on one side and to an empty position on the other.

A signal can be transferred from one bulb directly to another when the two bulbs are directly adjacent to each other, and only then. A signal can be transferred either way around the loop, from one bulb to another, until it reaches an empty position. A signal cannot be transferred across an empty position.

1. If a signal can be transferred, either directly or indirectly, from U to V, it must be true that a signal can be transferred, either directly or indirectly, from (A) T to V

(B)T to W (C) U to W (D) U to X (E) U to Y

2. If V is directly adjacent to X, any of the following could be true EXCEPT: (A) T is directly adjacent to V.

(B) U is directly adjacent to V. (C) U is directly adjacent to X.

(D) T is directly adjacent to an empty position.

(E) U is directly adjacent to an empty position.

3. If X is directly adjacent to an empty position, which of the following is the greatest number of bulbs, including starting and ending bulbs, that can be used in the transfer of a single signal?

(A) Two

(B) Three

(D) Five

(E) Six

4. If there is one bulb that is directly adjacent to both of the empty positions, that bulb must be

(A) U

(B) V

(D) X

(E) Y

5. If a signal can be transferred from T to Y, any of the following bulbs could be directly adjacent to an empty position EXCEPT

(A) T

(B) U

(D) W

(E) X

Question No 6 - 11

In a cable assembly plant, cables are manufactured by twisting plastic-coated copper wires together. There are copper wires of exactly six different solid colors—pink, brown, tan, gray, purple, and blue. Copper wires must be manufactured into single cables according to the following rules:

Each cable must contain at least three copper wires and copper wires of at least three different colors.

At most two copper wires in a single cable can be blue. At most two copper wires in a single cable can be purple.

There can be at most one copper wire of each of the other colors in a single cable.

If one copper wire is pink, then one copper wire must be brown. If one copper wire is tan, then no copper wire can be gray.

6. Which of the following could be the complete set of copper wires in an acceptable cable?

(A) A gray copper wire, a purple copper wire, and a tan copper wire

(B) A tan copper wire, a blue copper wire, and a purple copper wire

(D) A brown copper wire and exactly two blue copper wires

(E) Exactly two blue copper wires and exactly two purple copper wires

7. The maximum number of copper wires that can be used in an acceptable cable is (A) 8 (B) 7 (C) 6 (D) 5 (E) 4

8. If exactly one blue copper wire and exactly one purple copper wire are used in an manufactured cable, which of the following must be true?

(A) The cable contains no more than five copper wires.

(B) The cable contains exactly six copper wires.

(D) The cable does not contain a pink copper wire.

(E) The cable does not contain a tan copper wire.

9. If a purple copper wire and a tan copper wire must be among the copper wires chosen for a particular cable, any of the following pairs of copper wires could complete the cable EXCEPT a

(A) blue copper wire and a second purple copper wire

(B) brown copper wire and a second purple copper wire

(D) pink copper wire and a brown copper wire

(E) pink copper wire and a blue wire

10. If a manufactured cable consists of exactly five copper wires, each a different color, it could be true that a color NOT used is

(A) blue

(B) purple

(E) brown

11. If there is an additional requirement that tan must be used if brown is used, which of the following must be true?

(A) No cable contains fewer than six copper wires.

(B) No cable contains more than five copper wires.

(D) Pink is always used if tan is used.

(E) Blue is used exactly once if brown is used.

Questions 12 - 14

A student is planning his class schedule for the First and second semesters. He must take exactly three courses each semester. By the end of the second semester, the student must complete at least three courses in Area FINANCE, at least one course in Area MARKETING, and at least one course in Area SOCIAL SCIENCE. The only courses available to the student are:

Area FINANCE: F102, F201, F202, F203

Area MARKETING: M101, M102, M103, M201 Area SOCIAL SCIENCE: S101, S102, S202

The selection of courses is subject to the following restrictions;

A student can take no more than two courses with the same letter designation per semester.

Courses with a number designation in the 200's are offered only in the second semester; courses with a number designation in the 100's are offered in both the First and second semesters.

No course taken in the First semester can be repeated in the second semester.

12. Which of the following is a course that the student must take? (A) F102 (B) M101 (C) M102 (D) S101 (E) S102

13. Which of the following is a possible schedule for the second semester? (A) FI02, M101 and F202 (B) F102,M101 andM102

(E) M102, M20l and S101

14. If the student takes M101 and M102 in the First, his second schedule must include (A)

F203

(B) F201 and F202

(D) exactly one course from Area MARKETING

(E) exactly one course from Area SOCIAL SCIENCE

Question No 15 - 21

A journal published three times a year contains exactly three articles, each of a different type, in each issue. Exactly five types of articles are printed in the journal: finance, I.T, marketing, business, and sale force. No article is of more than one type. In choosing articles to publish during the year, the editor adheres to the following conditions:

At least one article of each type must be published each year. The fall issue of each year always contains marketing.

No issue can include both an I.T and marketing.

No two consecutive issues can each contain sale force. At least two issues each year must contain finance.

15. Which of the following can be an acceptable schedule of articles for a year's worth of issues of the journal?

) Finance,

I.T, Business

Finance, Marketing, Business

Finance, Business, Sale force

I.T,

Business, Sale force

Finance, I.T, Sale force

Finance, Business, Marketing

Finance, Business,

Marketing

Finance, Business,

Sale force

Finance, I.T, Marketing

Finance, I.T, Sale

force

Finance, Marketing,

Business

Marketing, Business, Sale force

Winter Issue Spring Issue Fall Issue

Marketing,	Business, Finance,	Marketing,	Business,
Sale force	I.T,	Sale force
	Business

16. If, a sale force publish in the spring issue of a particular year, which of the following lists the articles that must publish in the fall issue of the year, not necessarily in the order given?

(A) A finance, an I.T, and a business

(B) A finance, a marketing, and a business

(D) A finance, a business, and a sale force

(E) A marketing, a business, and a sale force

17. If, two article types publish three times each in a particular year’s issues, those types must be?

(A) a finance and an I.T

(B) a finance and a marketing

(D) a marketing and a sale force

(E) a business and a sale force

18. If a particular year's winter issue of the journal contains Marketing, then the spring issue that year could contain which of the following?

(A) Finance, Marketing, Business

(B) I.T, Marketing, Business

(D) Finance, Business, sale force

(E) Marketing, Business, sale force

19. If, during a particular year, two issues each contain a sale force and two issues each contain an Marketing, then the winter issue of that year must include

(A) A Finance

(B) AN I.T

(D) A Business

(E) A sale force

20. If four of the five types of articles publish twice during a particular year and if one type publish only once, then the type that publish only once must be either

(A) A Finance or an I.T

(B) AN I.T or Marketing

(D) A Marketing or a sale force

(E) a Business or a sale force

21. If for a particular year the editor Decides to make the spring issue of the journal a special issue devoted entirely to three sale forces, but continues adhering to the conditions on the choice of articles, then which of the following lists the articles, not necessarily in the order given, that must publish in the winter issue of the year?

(A) A Finance, an I.T, and Marketing (B) A Finance, an I.T, and a Business

(D) An I.T, Marketing, and a Business

(E) An Marketing, a Business, and a sale force

Test No 7

Question No 1 - 4

A conference organizer must select exactly three speakers to respond to special issue to be presented by an invited speaker. The three speakers will be selected from seven volunteers, of whom four—Irfan, Kamran, Liaquat, and Mohsin—are known to be positively to the speaker's theoretical point of view. The other three—Shabir, Tahir, and Usman—are known to be negatively to the speaker's theoretical point of view. In selecting the three speakers, the conference organizer must observe the following restrictions:

At least one positively speaker and at least one negatively speaker must be among those selected.

If Irfan is selected, Tahir cannot be selected.

If either Liaquat or Mohsin is selected, the other must also be selected. If either Kamran or Usman is selected, the other must also be selected.

1. Which of the following could be the group of speakers selected?

(A) Irfan, Liaquat, and Mohsin

(B) Irfan, Shabir, and Tahir

(D) Liaquat, Shabir, and Tahir

(E) Mohsin, Tahir, and Usman

2. If Irfan is selected as a speaker, which of the following must also be among those selected? (A)

Liaquat (B) Mohsin

(D) Tahir

(E) Usman

3. Which of the following is a pair of volunteers that can be selected together as speakers?

(A) Irfan and Liaquat

(B) Irfan and Shabir

(D) Mohsin and Shabir

(E) Mohsin and Usman

4. The group of speakers selected must include either

(A) Irfan or Shabir

(B) Kamran or Shabir

(D) Liaquat or Mohsin

(E) Liaquat or Usman

Question No 5 - 10

A Doctor is making up an assignment duty for three nurse teams. Each team will be assigned to exactly one of three Shifts of the hospital: Shift 1, Shift 2, or Shift 3. Bach team will consist of two of the following nurses: Ghalia, Hina, Irfana, Kiran, Lubna, and Minahel. Each nurse will be on exactly one team.

Irfana, Lubna, and Minahel have each completed a special emergency-training program; Ghalia, Hina, and Kiran have not.

Ghalia, Hina, and Irfana each have at least three years of job experience; Kiran, Lubna, and Minahel do not.

The Doctor must observe the following restrictions in making up the assignment duty: Each team must include at least one nurse who has completed the special emergencytraining program. Each team must include at least one nurse who has at least three years of job experience.

Ghalia must be assigned either to Shift 1 or to Shift 2.

5. Which of the following assignment of nurse is permitted by the restrictions Shift I Shift II Shift III

(A) GHALIA, KIRAN HINA, LUBNA IRFANA, MINAHEL (B) GHALIA, LUBNA HINA, KIRAN IRFANA, MINAHEL

(D) HINA, MINAHEL IRFANA, LUBNA GHALIA, KIRAN

(E) IRFANA, KIRAN GHALIA, HINA LUBNA, MINAHEL

6. Which of the following must be true? (A) Ghalia will be Kiran's partner.

(B) Ghalia will be Lubna's partner.

(D) Irfana will be Kiran's partner.

(E) Irfana will be Minahel's partner.

7. Which of the following is a complete and accurate list of the nurses whom the duty officer can assign to be Minahel's partner?

(A) Ghalia (B) Hina (C) Lubna

(D) Ghalia, Hina (E) Lubna, Kiran

8. If Hina is assigned to Shift 2, which of the following must be true?

(A) Kiran is assigned to Shift 1. (B) Kiran is assigned to Shift 3.

(D) Minahel is assigned to Shift 2.

(E) Minahel is assigned to Shift 3.

9. The duty officer CANNOT make acceptable nurses that assigns

(A) Hina to Shift 1 and Minahel to Shift 3

(B) Irfana to Shift 1 and Lubna to Shift 2 (C) Kiran to Shift 1 and Ghalia to Shift 2

(D) Ghalia to Shift 2 and Hina to Shift 3

(E) Irfana to Shift 2 and Minahel to Shift 3

10. If Lubna is assigned to Shift 3, which of the following must be true?

(A) Hina is assigned to Shift 1.

(B) Irfana is assigned to Shift 2.

Question No 11 - 13

The relative solidity of five materials — G, H, I, K, and L — is to be determined. One material is more hard than another if drawing an edge of the fist material across a surface of the second material produces a graze; other-wise, the first material is either equally hard or not as hard as the second. The following results have so far. been obtained:

G grazes H.

I grazes K.

H does not graze L.

11. Which of the following could be the five materials in order from the most solid to the lowest solid if no two of them are equally hard?

(A) G, I, L, K, H (B)G, L, K, H, I

(D) I, H, K, L, G

(E) L, G, K, I, H

12. If H grazes K, which of the following must be true?

(A) G is more solid than I.

(B) G is more solid than L.

(D) I is more solid than L.

(E) L is more solid than K.

13. If K grazes L, any of the following pairs of materials could be the same solidity as each other EXCEPT

(A) G and I

(B) G and K

(D) H and L (E) I and L Question No 14 - 20

Seven musical persons—R, S, T, U, V, W, and X— must sit on a single two-sided long-playing record. For a given side, any choice of persons and any sequence of persons will be acceptable so long as the following conditions are met:

X must be first or last on a side;

R must be sit on the same side as V, either immediately before V or immediately after V. S cannot be sit on the same side as U.

W can be sit on the same side as R, but neither immediately before nor immediately after R. Side 1 cannot begin with U.

Each side must have at least two persons.

Each person must sit on the record exactly one time,

14. If side 2 begins with U, which of the following persons must sit on side 1?

(A) R (B) S (C) T (D) V (E) W

15. If side 1 has exactly three persons and the first is W, which of the following could be the other two persons on side 1 ?

(A) R followed by S (B) S followed by U (C)T followed by R

(D) U followed by X (E) X followed by T

16. Which of the following is a possible arrangement, in order, of the seven musical persons? Side 1 Side 2

(A)	R, M, U, X	S, W, J
(B)	X, W, R, M	U, S, J
(C)	S, W, J	M, R, X, U
(D)	J, W, M	R, S, X, U
(E)	U, R, X	W, M, S, J

17. If S and T are the only persons on side 1, which of the following is a possible order of the persons for side 2?

(A) R, V, W, X, U (B) U, R, W, V, X

(E) X, V, W, U, R

18. If side 2 contains exactly, four persons, beginning with V and ending with U, which of the following must be true?

(A) R appears on side 1. (B)S appears on side 2.

(E) X is the last person on side 1.

19. If W, R, and X are among the persons on side 1, which of the following must be true?

(A) S appears on side 1. (B) U appears on side 2.

(D) Side 2 has exactly three persons. (E) Side 1 has exactly five persons.

20. If S, T, and X are all of the persons that sit on side 1, and side 2 begins with V, which of the following must be true?

(A) The second person on side 2 is U.

(B) The third person on side 2 is R.

Test No 8

Mehmood Trucking Company trips always begin in one of the five cities served by Mehmood— Noshara, Okara, Pashwar, Queta, and Rahim yar khan—and always end in one of these cities.

Mehmood drivers travel from city to city only on the routes listed in the mileage table below. Noshara—Okara: 100 miles Noshara—Pashwar: 100 miles Noshara— Rahim yar khan: 200 miles Pashwar—Queta: 200 miles Queta—Rahim yar khan: 300 miles .

The routes listed above have no stretch or road in common.

The maximum distance an Mehmood driver can travel without making an overnight stop is 300 miles.

Overnight slops must be made in cities served by Mehmood.

1. Which of the following is a trip an Mehmood driver could make without an overnight stop?

(A) From Noshara to Rahim yar khan to Queta

(B) From Rahim yar khan to Queta to Pashwar

(D) From Noshara to Pashwar to Queta

(E) From Queta to Pashwar to Noshara to Okara

2. What is the minimum number of overnight stops that an Mehmood driver who travels from Okara to Noshara to Rahim yar khan to Queta must make before arriving in Queta?

(A) 1 (B) 2 (C) 3 (D) 4 (E) 5

3. Which of the following is a list of the cities to which Mehmood driver can travel from Pashwar, returning to Pashwar on the same day he or she left?

(A) Noshara only

(B) Okara only

(D) Both Noshara and Okara

(E) Both Noshara and Queta

4. Which of the following accurately describes the possibilities for overnight stops during trips by Mehmood drivers that begin in Okara and end in Quaker-town after including two other cities served by Mehmood?

(A) The trips can be made without an overnight stop.

(B) It is not possible to make an overnight stop at Noshara.

(D) If exactly two overnight stops are made on a trip, they can be made only at Pashwar and Rahim yar khan.

(E) Any one of three cities—Noshara, Pashwar, Rahim yar khan—is a possible overnight stop.

Question No 5 - 10

Exactly five adults—R, S, T, U, and V—have gathered to play a sport called Trios. In each round of the sport, exactly three of these adults must play. The following are all the conditions:

No adult can play in three consecutive rounds. No adult can sit out two consecutive rounds.

In any sport, each of the five adults must play in exactly three rounds.

5. If R, S, and T play in a first round, which of the following could be the trio who play in that sport's second round?

(A) R, S, U

(B) R, S, V

6. If, in an individual sport, S, T, and U play in the first round and R, T, and U play in the third round, the players in the second round must be

(A) R, S, T

(B) R, S, U

(D) S, T, V

(E) S, U, V

7. If, in an individual sport, T and V do not play in the first round, which of the following must be true?

(A) T plays in rounds three and four. (B) V plays in rounds three and five.

(D) T and V both play in round five.

(E) U and V both play in round four.

8. If, in an individual sport, R, T, and U play in the first round, and S, U. and V play in the second round, which of the following must play in the fourth round?

(A) R (B) S (C) T (D) U (E) V

9. If, in an individual sport, R, U, and V play in the first round, and if U and S play in the fourth round, which of the following CANNOT have played in the third round?

(A) R

(B) S

(D) U (E) V

10. If, in an individual sport, R, S, and U play in the first round and S, U, and V play in the third round, which of the following CANNOT play in the fourth round and must play in the fifth round?

(A) R

(B) S

(D) U

(E) V

Question No 11 - 13

A pastry cook who is visiting a culinary school wishes to schedule three classes on pastry making—one at " 10 a.m., one at 2 p.m., and one at 6 p.m. Eight learner cooks—F, G, H, I, J, K, L, and M—who have registered to attend class will each be assigned to one of the three classes. Each class will contain either two or three learner cooks. The assignment of learner cooks to each class must conform to the following restrictions:

F must be assigned to a class to which only one other learner is assigned.

G must be assigned to the same class as L.

H must not be assigned to the same class as K.

I must be assigned to either the 10 a.m. class or the 6 p.m. class.

K must be assigned to a class that meets earlier in the day than the class to which J is assigned.

11. Which of the following is a possible assignment of learners to the classes?

10 a.m. 2 p.m. 6 p.m.

(A) F K G I M H J L

(B) F J G K L H I M

(D) G K L F H J I M (E) H I K G L M F J

12. If H and F are assigned to the 6 p.m. class, which of the following must be the group of learners assigned to the 10 a.m. class?

(A) G, I, L

(B) G, K, L (C) G, L, M

(D) I, J, M

(E) I. K, M

13. If F and M are assigned to the 10 a.m. class, which of the following must be the group of learners assigned to the 6 p.m. class?

(A) G, I. L

(B) G, J, L

(D) H, I, K

(E) I, K, M

Question No 14 - 19

An observatory is setting up a schedule for schoolchildren to view an astronomy practical. Five school groups— R, S, T, U, and V—will each view the practical exactly once during the four nights, Monday through Thursday, of its maximum brightness. Excellent viewing conditions are predicted for all four nights. The scheduling is subject to the following constraints:

At most two groups can view the practical on any given night. Group R cannot view the practical on the same night that Group T.

Group S must view the practical on a night prior to the night when Group V views the practical.

Group U must view the practical on the same night that Group V does.

14. Which of the following is a possible schedule for viewing the practical? Monday Tuesday Wednesday Thursday

(A) T	R, S	U, V	---
(B) S, T	---	R, U, V	---
(C) S	R, T	---	U, V
(D)	R	U, V S	T
(E)	R	S, T U	V

15. If Group S views the practical on Wednesday, which of the following must be true?

(A) Group R views the practical on Monday.

(B) Group R views the practical on Wednesday.

(D) Group U views the practical on Thursday. (E) Group V views the practical on Monday.

16. If Group U can view the practical neither on Wednesday nor on Thursday, which of the following must be true?

(A) Group R views the practical on Monday. (B) Group S views the practical on Monday.

(D) Group T views the practical on Wednesday. (E) Group T views the practical on Thursday.

17. If Group T views the practical on Thursday, which of the following could be true?

(A) Group V views the practical on Tuesday.

(B) Group U views the practical on Thursday.

(D) Group S views the practical on Wednesday. (E) Group R views the practical on Thursday.

18. Each of the following could be true EXCEPT: (A) Group S views the practical on Monday.

(B) Group T views the practical on Wednesday.

(D) Group S and Group T view the practical on Tuesday. (E) Group T and Group V view practical on Thursday.

19. If groups R, S, and T have each been scheduled for a different night, which of the following must be true?

(A) One of the three views the practical on Monday.

(B) One of the three views the practical on Thursday.

(D) Group S views the practical on a night prior to the night when Group R views it. (E) Group T views the practical on a night prior to the night when Group U views it.

Test No 9

Question No 1 - 5

A professional cricket coach has agreed to give lessons to seven talented cricket players — Fahid, Gohar, Hamid, Israr, Junaid, Kashif, and Liaquat—and for this purpose has set aside an hour each weekday, Monday through Friday. The week's schedule of lessons must meet the following conditions:

Each player must be scheduled for exactly one of the five days.

Exactly two of the lessons must each be for two players, but those two joint lessons cannot be on consecutive days.

Fahid's lesson must be on a day earlier in the week than Gohar's lesson. Hamid must be scheduled to be given his lesson by himself.

Israr's lesson must be on the day immediately before the day of Junaid's lesson.

1. Which of the following is an acceptable weekly schedule of lessons?

Monday Tuesday Wednesday Thursday Friday

(A) Fahid Junaid, Kashif Israr, Liaquat Hamid Gohar

(B) Hamid Fahid, Gohar Israr Junaid, Kashif Liaquat

(D) Kashif, Liaquat Hamid Israr Fahid, Junaid Gohar

(E) Liaquat Junaid, Kashif Hamid Fahid, Israr Gohar

2. If Hamid's lesson is scheduled for Wednesday, Israr's lesson must be scheduled for either (A)

Monday or Tuesday

(B) Monday or Thursday

(D) Tuesday or Thursday

(E) Tuesday or Friday

3. The latest day in the week on which Fahid and Israr could be given a joint lesson is

(A) Monday (B) Tuesday (C) Wednesday (D) Thursday (E) Friday

4. If a joint lesson for Gohar and Junaid is scheduled earlier in the week than a joint lesson for Kashif and Liaquat, for which day must Hamid's lesson be scheduled?

(A) Monday (B) Tuesday (C) Wednesday (D) Thursday (E) Friday

5. If the two joint lessons are scheduled for as early in the week as possible, and Israr's and Junaid's lessons for as late in the week as possible, Liaquat could be given his lesson (A) with Gohar

(B) with Israr

(D) with Kashif

(E) by himself

Question No 6 - 11

The members of the Exam Control Committee and the members of the Administrative Committee are to be selected from exactly six qualified candidates. The six candidates are L, M, N, O, P, and Q. The following rules apply:

Each Committee must have exactly three members.

The two Committees must have at least one member in common. L cannot be on a Committee with O.

If O is selected for a Committee, P must also be selected for that Committee.

6. If the members of the Exam Control Committee are selected first, which of the following could be those selected? (A) L, M, and O

(B) L, O. and Q

(D) M, O, and P- (E) N, O, and Q

7. If the two Committees have parallel terms of office, which of the following could be selected as the members of the Exam Control Committee and as the members of the Administrative Committee, respectively, for one such term of office?

(A) L. M. and N;	O, P, and Q.
(B) L. N, and P;	M, O, and Q
(C) L, O, and P;	L, O. and Q

(D) M, N, and P;	M, N, and O
(E) N, O, and P;	O, P, and Q

8. If the members of the Exam Control Committee are M, N, and Q, and if the Kent Control Committee is to have as many members in common with the Exam Control Committee as the rules allow, the Administrative Committee must consist of ,

(A) L. M, and N

(B) M, N, and Q

(D) N, P, and Q

(E) O, P, and Q

9. If L, M, and N make up the Exam Control Committee, and N, P, and Q make up the Administrative Committee, which of these Committee members could yield his or her place on a Committee to O without necessitating any other membership changes?

(A) L (B) M (C) N (D) P (E) Q

10. If L and O are each selected for a Committee, and only Q is selected for both Committees, which of the following must be true?

(A) M is selected for the same Committee as N. (B) N is selected for the same Committee as P.

(D) L is selected for a different Committee than P.

(E) O is selected for a different Committee than P.

11. If O and Q are both selected for the Exam Control Committee, and if L is selected for the Administrative Committee, each of the following pairs of people could be the other two members of the Administrative Committee EXCEPT

(A) M and N

(B) M and Q

(D) N and Q

(E) P and Q

Question No 12 - 14

A HR manger is assigning five workers—F, M, H, I, and J—to three machines. Each machine has two terminals for workers. The assignment is subject to the following restrictions:

Workers sharing a machine must be of the same sex. .

A worker with skill M cannot share a machine with a worker who has no poor performance. Workers I and J have skill M and no poor performance.

Worker F has an poor performance.

Workers M and H each have a broken leg and no other illness or disability. Workers F, H, and J are male, and workers M and I are female.

12. If F shares a machine with H, which of the following is true?

(A) None of the workers shares a machine with any worker with skill M.

(B) None of the workers shares a machine with J.

(D) A worker with a broken leg shares a machine with J.

(E) A worker with skill M shares a machine with J.

13. If a sixth worker is assigned to the remaining terminal, it must be true that the sixth worker

(A) is male

(B) is female or, if male, does not have a poor performance

(D) Does not have a poor performance

(E) Has skill M

14. If Z, a male worker with skill M and no poor performance, is a newly admitted sixth worker who is also to be assigned to one of the three machines, Z must share a machine with

(A) F (B) M (C) H (D) I (E) J

Question No 15 - 21

A building has exactly six flats, numbered 1 through 6 from bottom to top. Each of exactly six families—R, S, T, U, V, and W—must-be assigned an entire flat for office space. The flats must be assigned according to the following conditions:

R must be on a lower flat than S.

T must be cither on the flat immediately above W's flat or on the flat immediately below W's flat.

U can be neither on the flat immediately above W's flat nor on the flat immediately below W's flat.

V must be on flat 4.

15. Which of the following is an acceptable assignment of families to flats, in order from flat 1 through flat 6?

(A) R, T, S, V, U, W

(B) S, T, W, V, R, U

(D) U, W, T, V, R, S

(E) V, R, U, S, W, T

16. If S is on flat 5, which of the following must be true?

(A) R is on flat 1.

(B) R is on flat 3. (C) T is on flat 1.

(D) U is on flat 6.

(E) W is on flat 2.

17. If W is on flat 2, any of the following could be true EXCEPT:

(A) R is on flat 3.

(B) R is on flat 5. (C) T is on flat 1.

(D) U is on flat 5.

(E) U is on flat 6.

18. If U is on flat 3, which of the following is a pair of families that must be on flats one of which is immediately above the other?

(A) R and S (B) R and V (C) S and U (D) T and U (E) V and W

19. Each of the following is a pair of families that could be on flats one of which is immediately above the other EXCEPT

(A) R and T (B) R and W (C) S and T (D) T and V (E) U and V

20. If R is on flat 5, which of the following must be true?

(A) T is on flat 2. (B) T is on flat 3. (C) U is on flat 1.

(D) U is on flat 2. (E) W is on flat 3.

21. If R and T are on flats one of which is immediately above the other, which of the following could be on flats one of which is immediately above the other?

(A) R and U (B) R and W (C) S and W (D) T and V (E) U and V

Test No 10

Question No 1 - 5

Four girls—L, M, N, and O—and four boys—V, W, X, and Y—are the eight adults to be seated at a rectangular bench. Three of the adults are to sit on one side of the bench, three are to sit on the other side of the bench, one is to sit at the head of the bench, and one is to sit at the foot of the bench. The following restrictions on seating arrangements must be observed:

Adults of the same sex cannot sit next to each other on the same side of the bench. The adult seated at the foot of the bench cannot be the same sex as the adult seated at the head of the bench.

X cannot be seated on the same side of the bench as N. Y cannot be seated on the same side of the bench as O.

1. If Y is seated at the head of the bench and N is seated in the middle seat on one side of the bench, which of the following must be true?

(A) O is seated at the foot of the bench.

(B) V is seated at the foot of the bench.

(D) W is seated on the opposite side of the bench from N. (E) X is seated on the opposite side of the bench from N.

2. If O is to be seated at the head of the bench, each of the following could be seated at the foot of the bench EXCEPT

(A) M (B) V (C) W (D) X (E) Y

3. If W is seated at the foot of the bench, Y is seated in an end seat on one side of the bench, and N is seated in an end seat on the other side of the bench, where must X be seated?

(A) At the head of the bench

(B) In the middle seat on the same side of the bench as Y

(D) In the middle seat on the same side of the bench as N

(E) In an end seat on the same side of the bench as N

4. If X is seated at the head of the bench, V is seated in the middle seat on one side of the bench, and N is seated in the middle seat on the other side of the bench, which of the following can be true?

(A) L is seated at the foot of the bench.

(B) M is seated on the same side of the bench as N.

(D) W is seated on the same side of the bench as V. (E) Y is seated on the same side of the bench as V.

5. If X is seated at the foot of the bench, Y is sealed in the middle seat on one side of the bench, and N is seated in the middle seat on the other side of the bench, which of the following must be seated at the head of the bench?

(A) L

(B) M

(D) V

(E) W

Question No 6 - 11

Two-way roads exist among the following cities surrounding a mountain area:

Between F and G Between F and H Between H and J Between J and L Between J and U Between L and I Between I and K

There is also a one-way road between city I and city G; the permitted direction of travel is from I to G.

None of these roads intersect each other except at the cities.

There are no other cities or roads in the vicinity. Bicycles must follow the direction established for general traffic on roads.

6. To bicycle from K to G by road, it is necessary to go to or through city (A) F (B) I (C) J

(D) L (E) U

7. If a rock slide temporarily makes the road between H and J impassable, then in order to reach F by road from U, a bicyclist would have to go to or through a total of how many other cities besides F and U ?

(A) 2 (B) 3 (C) 4 (D) 5 (E) 6

8. If a bridge on the road between F and H is washed out, making the road impassable, a bicyclist would NOT be able to go by road from

(A) G to F (B) G to K

(D) I to K,

(E) J to F

9. If a rock slide blocks a lane of the road from J to L, with the result that travel on the road can go only one way, from J to L, it will still be possible to go on a bicycle by road from I to

(A) G and K but impossible to go to F, H, J. L, or U (B) G, K, and L but impossible to go to

F. H, J, or U .

(D) F, H, J, K, and L but impossible to go to G or U

(E) F, G. H, J, K, L, and U

10. Assume that one lane of the road from H to J is Closed for repairs, with the result that travel on the road can go only one way, from J to H. It will then be possible to travel by road on a bicycle among any of the cities F, G, H. I, J, K, L, and U among which such travel was possible before the closing, if which of the following one-way temporary roads is constructed?

(A) From F to U

(B) From I to J

(D) From K to U (E) From L to I!

11. If F is lower and L is higher on the mountain than any of the other cities in the vicinity and G, I, and J are all at the same altitude, the distance by road going from U to K will be shortened by building a two-way road along a level straight line between

(A) J and G

(B) J and F

(D) I and J

(E) L and G

Question No 12 - 15

Seven women—F, G, H, I, J, K, and L are all the women present at a party. All of them join distinct communicational groups that form during the party and that consist of two, three, or four women at a time. At any time during the party, each of the women present is considered to the a member of exactly one of the communicational groups. During the party the following conditions are satisfied:

F can never be in the same communicational group as I.

J must be in a communicational group that includes either I or L, but J cannot be in a communicational group with both I and L.

L must be in a communicational group that consists of exactly three women.

12. Which of the following lists three communicational groups that can exist at the same time during the party?

(A) F and I	G, J and L	H and K
(B) F and J	H and I	G, L and K
(C) F and K	H and I	G, J and L
(D) F and L	I and K	H, G and J
(E) F, K and L	I and G	H and J

13. If, at a certain point during the party, H, J, and L are members of three distinct communicational groups, I must at that point be in a communicational group that includes

(A) F (B) H (C) J (D) K (E) L

14. If, at a certain point during the party, a group of three women and a group of four women have formed and L is in the same communicational group as K, which of the following must at that point be in the group with L and K ?

(A) F

(B) G

(D) I

(E) J

15. If, at a certain point during the party, one of the communicational groups consists only of G, H, and L, at that point F must be part of a group of exactly

(A) two women, whose other member is J

(B) two women, whose other member is K

(D) four women, whose other members include J

(E) four women, whose other members include K

Question No 16 - 22

At an exhibition, exactly five sculptures are to be displayed in a hall with exactly five show cases, arranged along a single wall and numbered consecutively 1 through 5. The sculptures are to be selected from a total of eight sculptures—F, G, H, I, J, K, L, and O are displayed, one sculpture on each show case, according to the following conditions:

Either F or O or both must be selected.

If F is selected, F must be on show case 1. Hither J or K must be on show case 3.

If L is selected, H must also be selected, and L and H must then be on show cases that are immediately adjacent to one another.

16. Which of the following is an acceptable selection of sculptures to be displayed on show cases 1 through 5?

1	2	3	4	5
(A) F	J	L	H	I
(B) G	L	K	O	I
(C) H	L	K	J	O
(D) L	H	J	K	F
(E) O	G	I	H	L

17. If K is on show case I, which of the following must be true?

(A) H is on show case 4. (B) J is on show case 3. C) L is on show case 2.

(D) L is on show case 4. (E) O is on show case 5.

18. If L is on show case 5, which of the following pairs of sculptures can be on show cases that are immediately adjacent to each other?

(A) F and H (B) I and G (C) I and H (D) J and L (E) O and J

19. If O is on show case 4, any of the following can be on show case 5 EXCEPT

(A) G (B) H (C) I (D) J (E) L

20. If L is on show case 2, which of the following sculptures must be selected?

(A) F (B) G (C) J (D) K (E) O

21. If H is not selected and J is on showcase 1, which of the following lists, in alphabetical order, those sculptures that must also be selected?

(A) F, I, L, and O (B) G, I, K, and L (C) G, I, K, and O (D) G, K, L, and O (E) I, K, L, and O

22. If, “I” is displayed on a show case immediately adjacent to a show case on which J is displayed and immediately adjacent to a show case on which K is displayed, which of the following must be true?

(A) G is on either show case 4 or show case 5.

(B) I is on either show case 2 or show case 4.

(D) K is on either show case 3 or show case 5.

(E) O is on either show case 2 or show case 4.

Test No 11

Question No 1 - 5

Ten different fabrics are being displayed on show cases along one wall of a store. The show cases are next to each other in a straight line and are numbered consecutively from one to ten. On each show case is a single bolt of a different fabric. One fabric is gray, two fabrics are different shades of blue, three fabrics are different shades of tan, and the remaining four fabrics are different shades of orange.

Tan fabrics are on show cases one and ten.

The two blue fabrics are on show cases next to each other. No orange fabric is on a show case next to a blue fabric. No tan fabric is on a show case next to the gray fabric.

1. If a tan fabric is on show case two and orange fabrics are on show cases three and four, the gray fabric must be on which of the following show cases? (A) Five (B) Six (C) Seven (D) Eight (E) Nine

2. If the four orange fabrics are on four consecutive show cases, the gray fabric and one of the blue fabrics could be on which of the following show cases, respectively?

(A) Two and three (B) Three and four

3. Which of the following are colors of fabrics that CANNOT be on show cases two, three, and four respectively.?

(A) Tan, orange, gray

(B) Tan, blue, blue

(D) Orange, orange, gray

(E) Orange, orange, orange

4. If a tan fabric is on show case three and a blue fabric is on show case four, the gray fabric must be on which of the following show cases?

(A) Two (B) Five (C) Six

(D) Seven (E) Nine

5. If the gray fabric is on show case five and a blue fabric is on show case four, which of the following must be true?

(A) A orange fabric is on show case two.

(B) A orange fabric is on show case nine.

(D) A tan fabric is on show case seven.

(E) A tan fabric is on show case eight.

Question No 6 - 11

A group of eight people is going camping in Van 1, Van 2, and Van 3. The group consists of two women — V and S—and six girls—F, G, H, I, J, and T. Van assignments will be made as follows:

There will be no more than three persons in a Van. V will be in Van I.

V will not be in a Van with her daughter I, and S will not be in a Van with her daughter J.

F, G, and H, who are close friends, will be in a Van together.

6. Which of the following can be in Van 1?

(A)	F
(B)	G
(C)	H
(D)	I
(E)	S

7. If F is in Van 2, which of the following must be true?

(A) H is in Van 3.

(B) I is in Van 3.

(D) T is in Van I. (E) S is in Van 3.

8. If the two women are together in a Van, which of the following is a pair of girls who must be together in a Van?

(A) F and J (B) G and T (C) H and I

(D) I and J (E) J and T

9. If S is in Van 2, which of the following must be in the same Van as V? (A) F

(B) G .

(D) J

(E) T

10. If G is in Van 3 and the two women are not in the same Van as each other, the people in Van 2 can be

(A) H and T only

(B) S and T only

(D) I, J, and S

(E) I, T, and S

11. If V and T are together in a Van, it is possible that

(A) F and J are together in a Van (B) I and T are together in a Van

(D) J and S are the only people in Van 3

(E) T and V are the only people in Van 1

Question No 12 - 15

A boy uses a motor cycle to pick up aids of unsold food and garmenting from stores and to deliver them to locations where they can be distributed. He drives only along a certain network of roads.

In the network there are two-way roads connecting each of the following pairs of points: A with B, A with C, A with E, B with F, C with G, E with F, and F with G. There are also one-way roads going from B to D, from C to B, and from D to C. There are no other roads in the network, and the roads in the network do not intersect.

To make a trip involving pickups and deliveries, the boy always takes a route that for the whole trip passes through the fewest of the points A through G, counting a point twice if he boy passes through it twice.

The boy's house is at point C. Aids can be picked up at a General Store at point A, a garmenting store at point E, and a bakery at point D, Deliveries can be made as needed to a tutoring center at point B, a distribution center at point F, and a supermarket at point G.

12. If the boy starts at the General Store and next is to go to the supermarket, the-first intermediate point of his route passes through must be

(A) B

(B) C

(E) G

13. If, starting from house, the boy next is to make pickups for the supermarket at the General Store and the bakery (in either order), the first two intermediate points on his route, beginning with the first, must be

(A) A and B

(B) A and C

(D) B and D

(E) D and B

14. If, starting from the garmenting store, the boy next is to pick up bread at either the General Store or the bakery (whichever stop makes his route go through the fewest of the points) and then is to go to the supermarket, the first two points be reaches after the garmenting store, beginning with the first, must be (A) A and B

(B) A and C

(D) F and B

(E) F and D

15. If the boy is to make a trip starting at the supermarket, next going to the bakery for a pickup, and then ending at the distribution center, the first two intermediate points on his route, beginning with the first, can be

(A) C and A

(B) C and D

(D) F and B

(E) F and E

Question No 16 - 19

Each of six automated jobs, numbered 1 through 6, takes one full month to complete. No time elapses between the completion of any of the six jobs and the beginning of another job. The group of six job, must be completed in the shortest possible time period, subject only to the following restrictions:

Jobs 1 and 2 must both be completed before any of the other jobs can be begun. Job 3 must be completed before job 4 can be begun.

At any one time, no more than one job can be performed, except that jobs 4 and 5 can be performed concurrently.

16. Which of the following jobs could be the second job performed?

(A) 2

(B) 3

(D) 5

(E) 6

17. The shortest possible time period in which the group of six jobs can be completed is

(A) Two months

(B) Three months

(D) Five months

(E) Six months

18. Which of the following CANNOT be true of any acceptable ordering of jobs?

(A) Job 1 is performed before job 2. (B) Job 3 is performed before job 6.

(D) Job 5 is performed before job 3.

(E) Job 6 is performed before job 3.

19. If job 6 is performed as early in the order of jobs as is permissible, then job 6 is performed

(A) first

(B) second

(D) fourth

(E) fifth

On a city there are exactly seven places: K, L, M, N, O, P, and Q. All existing and projected

roads on the city are two-way and run perfectly straight between one place and the next. All distances by road are distances from the main square of one place to the main square of another place. L is the same distance by road from K, M, and N as P is from O and Q. The following are all of the currently existing roads and connections by road on the island: Road I goes from K to M via L.

Road 2 goes from L directly to N.

The Triangle Road goes from O to P, from P on to Q, and from Q back to O. Any main square reached by two roads is an interchange between them, and there are no other interchanges between roads.

1. Which of the following is a place from which exactly two other places can be reached by road?

(A) K (B) L (C) M (D) N (E) O

2. It is possible that the distance by road from O to P is unequal to the distance by road from

(A) K to L (B) L to M (C) L to N (D) O to Q (E) P to Q

3. Which of the following is a pair of places connected by two routes by road that have no stretch of road in common?

(A) K and L (B) L and M (C) M and N (D) N and O (E) O and P

4. If a projected road from K to P were built, then the shortest distance by road from N to O would be the same as the shortest distance by road from Q to

(A) K (B) L (C) M (D) O (E) P

5. If two projected roads were built, one from K directly to P and one from M directly to Q, then each of the following would be a complete list of the places lying along one of the routes that a traveler going by road from L to O could select EXCEPT

(A) K, P (B) K. Q (C) M. Q (D) K, P, Q (E) M, Q, P

Question No 6 - 11

At a conference, exactly seven scholars—Qamar, Rizwan, Sarfraz, Tahir, Usman, Valeed, and Waqas—are to speak. In the schedule for the conference, there are seven time slots available for scholars, and the time slots are numbered consecutively 1 through 7. Exactly one scholar must be assigned to each time slot according to the following conditions:

Qamar must speak immediately before or immediately after Tahir speaks. Tahir must speak sometime before Rizwan speaks.

Sarfraz must speak in either time slot -1 or time slot 7. Valeed must speak in time slot 4.

6. Which of the following must be true?

(A) Qamar speaks sometime before Rizwan speaks.

(B) Qamar speaks sometime before Valeed speaks.

(D) Valeed speaks sometime before Rizwan speaks. (E) Waqas speaks sometime before Valeed speaks.

7. If Rizwan speaks immediately before Valeed speaks which of the following could be true?

(A) Qamar speaks in time slot 5.

(B) Sarfraz speaks in time slot 1. (C) Tahir speaks in time slot 3.

(D) Usman speaks in time slot 2.

(E) Waqas speaks in time slot 6.

8. If Rizwan speaks sometime before Sarfraz speaks which of the following must be true? (A) Qamar speaks sometime before Usman speaks.

(B) Rizwan speaks sometime before Valeed speaks. (C) Tahir speaks sometime before Valeed speaks.

(D) Usman speaks sometime before Rizwan speaks.

(E) Waqas speaks sometime before Qamar speaks.

9. If Usman is to speak in time slot 2, there will be a total of how many scheduling possibilities from which to select the schedule of scholars?

(A) One

(B) Two

(D) Four (E) Six

10. If Waqas speaks in time slot 7, any of the following pairs of scholars could speak-in time slots immediately adjacent to each other EXCEPT

(A) Qamar and Rizwan

(B) Rizwan and Usman

(D) Sarfraz and Tahir

(E) Valeed and Usman

11. If Usman speaks sometime before Qamar speaks which of the following must be true?

(A) Sarfraz speaks sometime before Usman speaks.

(B) Tahir speaks sometime before Valeed speaks.

(D) Valeed speaks sometime before Rizwan speaks.

(E) Waqas speaks sometime before Sarfraz speaks.

Question No 12 - 15

An artist needs to arrange seven pictures on the wall of a room in an art gallery. The pictures must be placed in seven consecutive positions, numbered 1 through 7, along the wall. Four of the pictures—F, G, H, and I —depict buildings, whereas three of the pictures—S, T, and U—depict naturals. The order in which the pictures are arranged along the wall must meet the following conditions:

No two pictures of buildings can be placed next to each other. I cannot immediately precede S.

H must immediately precede T.

If G is in the third position, then S must be in the second position.

12. Which of the following is an acceptable arrangement of the pictures along the wall, from position 1 to position 7?

(A) F, S, G, T, I, U, H

(B) H, T, I, U, G, S, F

(D) S, F, U, H, T, G, I

(E) U, S ,G, H, T, F, I

13. Which of the following lists the three positions on the wall in which H could be placed? (A)

First, second, and third

(B) First, third, and fifth

(D) Third, fifth, and sixth

(E) Third, fifth, and seventh

14. If G is in the third position, U must be placed in which of the following positions? (A) First

(B) Second

(D) Fifth

(E) Sixth

15. If S must be placed on the wall in a higher numbered position than T and in a lower numbered position than U, F must be placed in which of the following positions? (A) First

(B) Second

(D) Fourth

(E) Fifth

Question No 16 - 19

Five boys—P, Q. R, S, and T—have gathered to play a game called "forest and trees. Four players play in each round, with one boys sitting out. Rounds are played by two competing teams of two boys each. The players have agreed on the following rules of participation:

No two players can play as a team in two consecutive rounds of the game.

After a round is concluded, one' boys from the losing team in that round must sit out the next round of the game.

After a round is concluded, the boys who has sat out that round and a boys from the winning team in that round join to form the team that is known as "the forest" for the next round.

After a round is concluded, one boys from the losing team in that round and one boys from the winning team in that round join to form the team that is known as "the trees" for the next round.

No round of the game can end in a tie.

Because R and T are perceived as having the greatest individual strengths as players, R and T can never play on the same team.

16. If, in the first round of a game, P and T are the winning team and R sits out, which of the following must be a team in the second round of that game?

(A) P and R

(B) Q and R

(D) R and S

(E) S and T

17. If, in the first round of a game. Q and R are the winning team and P sits out, which of the following could be a team in the second round of that game?

(A) P and S -

(B) P and T

(D) Q and T (E) S and T

18. If P and S are the winning team in the first round, each of the following could be a member of the forest during the second round EXCEPT

(A) P

(B) Q (C) R (D) S (E) T

19. If S sits out the first round, each of the following could be a team in the first round EXCEPT (A)

P and Q

(B) P and R

(D) Q and R

(E) Q and T

Test No 13

Question No 1 - 5

A woman plans to plant exactly six kind of trees: orange. apple, mango, banana, lemon, and date. She places six pots side by side in a straight line and numbers the pots consecutively from 1 to 6, left to right. She will plant only one kind of tree in each pot. The arrangement of the trees is subject to the following conditions:

Orange must be planted in some pot to the left of banana. Lemon must be planted in some pot to the left of date.

Apple cannot be planted in pot 1. Mango must be planted next to orange;

1. Which of the following arrangements of trees from pot 1 through 6, respectively, conforms to the conditions above?

(A) Date, orange, mango, lemon, banana, apple

(B) Apple, lemon, date, mango, orange, banana

(D) Orange, banana, lemon, date, apple, mango

(E) Mango, orange, lemon, apple, banana, date

2. If apple is planted in some pot to the right of banana, which of the following must be true?

(A) Apple is planted in some pot to the right of orange. (B) Apple is planted in some pot to the right of lemon. (C) Apple is planted in some pot to the right of date.

(D) Banana is planted in some pot to the left of lemon.

(E) Banana is planted in some pot to the left of mango.

3. If date is planted in some pot to the left of orange, which of the following must be true?

(A) Date is planted in some pot to the left of apple.

(B) Date is planted in some pot to the left of mango.

(D) Orange is planted in some pot to the left of mango. (E) Orange is planted in some pot to the left of lemon.

4. If banana is planted in some pot to the left of lemon, lemon could be planted in which of the following pots?

(A) 1 (B) 2 (C) 3 (D) 4 (E) 6

5. If orange is planted next to date, which of the following must be true?

(A) Lemon is planted in pot 1. (B) Apple is planted in pot 2.

(D) Orange is planted in pot 4.

(E) Date is planted in pot 5.

Question No 6 - 10

All mails in a large province are transmitted by means of a mail network that connects eight cities—F, G, H, I, J, K, L, and M. All of the connections are two-way, so that mails can be sent back and forth between any two connected cities. Any given mail enters and leaves a given city at most once. The cities are connected only in the following way:

F is connected to G and to I. H is connected to G and to I. J is connected to H and to L.

K is connected to H, to L, and to M.

6. The path followed by mails sent from L to M must include which of the following cities?

(A) F (B) G (C) H (D) J (E) K

7. Mails sent from F to J can go along any of the following paths EXCEPT

(A) F to G to H to J

(B) F to I to H to J

(D) F to G to H to K to L to J

(E) F to I to H to K to L to J

8. Which of the following specifies in its entirety a sequence, from first to last, of cities through which a mail from M to I can pass?

(A) M, F. I

(B) M, K, F, I

(D) M, K, H, G, I

(E) M, K, L, J, H. I

9. What is the minimum number of cities, excluding the originating and destination cities, through which a mail from I to K must pass?

(A) One (B) Two (C) Three (D) Four (E) Five 10.Disconnecting which of the following cities from every city to which it is connected would leave

exactly one of the other cities unconnected to the rest of the mail network?

(A)	F
(B)	G
(C)	J
(D)	K
(E)	M

Question No 11 - 14

Three teachers—Rehan, Saeed, and Valeed—will be traveling in a van with five students— Fareed, Habib, Jahangir, Liaquat, and Muneeb. The van has a driver's seat and one passenger seat in the front and two big seats behind the front seats, one big seat behind the other. Each big seat has seats for exactly three people. Everyone must sit in a seat or on a big seat, and seating is subject to the following restrictions:

A teacher must sit on each big seat.

Either Rehan or Saeed must sit in the driver's seat. Jahangir must sit immediately beside Muneeb.

11. Which of the following can sit in the front passenger seat?

(A) Jahangir

(B) Liaquat

(D) Saeed

(E) Valeed

12. Which of the following groups of three can sit together on a big seat?

(A) Fareed, Jahangir, and Muneeb

(B) Fareed, Jahangir, and Valeed

(D) Habib, Lupe. and Saeed

(E) Liaquat, Muneeb, and Rehan

13. If Fareed sits immediately beside Valeed, which of the following CANNOT be true? (A)Jahangir sits immediately beside Saeed.

(B) Liaquat sits immediately beside Valeed. (C)'Habib sits in the front passenger seat. (D)Fareed sits on the same big seat as Habib.

(E) Habib sits on the same big seat as Rehan.

14. If Saeed sits on a big seat that is behind where Jahangir is sitting, which of the following must be true?

(A) Habib sits in a seat or on a big seat that is in front of where Muneeb is sitting.

(B) Liaquat sits in a seat or on a big seat that is in front of where Fareed is sitting.

(E) Muneeb sits on the same big seat as Valeed.

Question No 15 - 18

A developer will build five houses in a certain town on a street that currently has no houses on it. The developer will select from seven different styles of houses—F, G. H, I, J, K. and L. The town's planning committee has placed the following restrictions on the developer:

No style can be selected for more than one house.

Either style I must be selected or style L must be selected, but both cannot be selected. If style K is selected, then style H must also be selected.

If style G is selected, then style I cannot be selected.

15. If style G is one of the styles selected for the street, then which of the following styles must also be selected?

(A) F (B) I (C) J (D) K (E) L.

16. Which of the following is an acceptable combination of styles that can be selected for the street? (A)F, G, H, J. K

(B) F, G, J, K, L

G. H, I, J. K

(E) H. I, J, K, L

17. If style L is one style not selected for the street, then the other style NOT selected must be which of the following? -

(A) F (B) G (C) H (D) I (E) J

18. If F, G. and J are three of the styles selected for the street, then which of the following must be the other two styles selected?

(A) H and I

(B) H and K

(E) K and L

Test No 14

Question No1 - 4

In a certain target-firing game, a group must fire at seven targets. Exactly one fired is allowed for shooting at-each target. The targets are numbered in consecutive order from 1 to 7. The game is being played by a three-member group consisting of players M, N, and O, who must observe the following rules:

The seven targets must be fired at in consecutive order, starting with target 1. Both M and O can fire at odd-numbered and even-numbered targets.

N cannot fire at even-numbered targets. M and N must each fire at no fewer than two targets.

O must take exactly one fired. M cannot take three consecutive fires.

1. If all group members take exactly their requited minimum number of fires before any group member takes an additional fired, then the next target to be fired at in the game after the required minimum of fires is target

(A) 3 (B) 4 (C) 5 (D) 6 (E) 7

2. If N takes the same total number of fires during the game as one other group member, then which of the following is true?

(A) M must fire at even-numbered targets only.

(B) N must fire at all of the odd-numbered targets.

(D) M and O must each fire at exactly one odd-numbered target.

(E) Either M or O, but not both, must fire at exactly one odd-numbered target.

Durrani

3. If all odd-numbered but no even-numbered targets are hit during the game, then all of the following are possible total numbers of hits for each player at the end of the game EXCEPT (A) M = 2; N= 1; O = 1

(B) M= 1; N=2; O= 1 (C) M = 0; N = 3; O = 1 (D) M = 2; N = 2; O = 0 (E) M= 1; N = 3; O = 0

4. If, during the game, M and N each hit exactly half of the targets that each shoots at, then the lowest possible total number of hits that the group could make in the game is

(A) 1 (B) 2 (C) 3 (D) 4 (E) 5

Question No 5 - 10

Two maps are being designed. One will show single roads; the other will show double roads. There are three single roads and four double roads, and each line or route must be represented on the maps by a color used to represent it only. The colors available to the designer of the maps are brown, gold, olive, pink, white, magenta, and silver. Any assignment of colors to lines and routes is acceptable provided the following conditions are met:

Brown cannot be used on the same map as pink.

Olive cannot be used on the same map as white, nor on the same map as silver

5. If brown is used on the single roadmap, which of the following must be true? (A) Olive is used on the single roadmap.

(B) Silver is used on the single roadmap. (C) Pink is used on the double roadmap.

(D) Gold is used on the double roadmap.

(E) White is used on the double roadmap.

6. If white is used on the double roadmap, which of the following colors must be used on the single roadmap?

(A) Brown

(B) Olive

(D) Magenta

(E) Silver

7. If silver and pink are used on the single road map, the third color used on that map must be

(A) brown

(B) gold

(D) white

(E) magenta

8. If white and brown are used on the double roadmap, which of the following could be the other two colors used on that map?

(A) Gold and pink

(B) Gold and magenta

(D) Olive and magenta

(E) Pink and silver

9. If gold is not used on the same map as brown, nor on the same map as silver, which of the following must be true?

(A) Brown is used on the single roadmap.

(B) Brown is used on the double roadmap. (C) Gold is used on the same map as reel.

(D) Pink is used on the same map as olive.

(E) Magenta is used on the same map as white.

10. There will be only one acceptable assignment of colors to each of the two maps if which of the following conditions is added to the original ones?

(A) Pink and magenta must be used on the single road map.

(B) Gold and pink must be used on the double road map.

(D) Gold cannot be used on the same map as silver.

(E) Pink cannot be used on the same map as white.

Durrani

Question No 11 - 14

Researchers know that exactly six prehistoric iron-working firms—F, G, H, I, J, and K—existed in the Windham area. Recently, the researchers have discovered three devices— 1,2, and 3—that they know must have been made by ironworkers in the Windham area. The researchers would like now to determine the specific firm at which each device was made. The devices are different enough in composition and style to leave no doubt that each was made at a different firm. In addition, the researchers have established the following:

If any or the devices was made at F, none or them was made at I. If any of the devices was made at G, none of them was made at H. One of the devices was made, at J.

Device 2 was not made at- K.

Device 3 was made neither at H nor at K.

11. If Device 1 was made at I, Device 3 could have been made at which of the following?

(A) F

(B) G

(D) I

(E) K

12. Device 1, Device 2, and Device 3, respectively, could have been made at (A) F, H, and K

(B) G, K, and J

(D) J, F, and I

(E) J, H, and F

13. If neither F nor I was a firm at which any of the device was made, which of the following must be true?

(A) Device 1 was made at K.

(B) Device 2 was made at H. (C) Device 2 was made at J.

(D) Device 3 was made at G.

(E) Device 3 was made at J.

14. The researchers could determine exactly which device was made at which firm if they knew that the only three firms at which devices were made were

(A) F, G, and J

(B) F, J, and K

Question No 15 - 18

Seven boys—Faheem, Jamshaid, Kashif, Muneer, Rizwan, Shahid, and Tuqeer—are eligible to enter a spelling contest. From these seven, two groups must be formed, a blue group and a

yellow group, each group consisting of exactly three of the boys. No boy can be selected for more than one group. Group selection is subject to the following restrictions:

If Muneer is on the blue group, Kashif must be selected for the yellow group.

If Faheem is on the blue group, Rizwan, if selected, must be on the yellow group. Rizwan cannot be on the same group as Shahid.

Jamshaid cannot be on the same group as Kashif.

15. Which of the following can be the three members of the blue group?

(A) Faheem, Jamshaid, and Kashif

(B) Faheem, Rizwan, and Tuqeer

(D) Kashif, Muneer, and Rizwan

(E) Muneer, Rizwan, and Tuqeer

16. If Muneer and Faheem are both on the blue group, the yellow group can consist of which of the following?

(A) Jamshaid, Kashif, and Rizwan

(B) Jamshaid, Shahid', and Tuqeer

(D) Kashif, Rizwan, and Tuqeer

(E) Rizwan, Shahid, and Tuqeer

17. If Muneer is on the blue group, which of the following if selected, must also be on the blue group?

(A) Faheem

(B) Jamshaid (C) Rizwan.

(D) Shahid

(E) Tuqeer

18. If Faheem is selected for the blue group and Tuqeer is not selected for either group, then which of the following CANNOT be a member of the yellow group?

(A) Jamshaid (B) Kashif (C) Muneer .

(D) Rizwan

(E) Shahid

Test No 15

Question No 1 - 4

A shopkeeper is preparing gift boxes of dress. Each box will contain exactly two kinds of summer dress to be selected from I, J, and K, and exactly three kinds of winter dress to be selected from L, M, N, O, and U, with the following restrictions:

J cannot be in the same gift box as U.

L cannot be in the same gift box as O. M cannot be in the same gift box as U.

1. If J is included in a gift box, which of the following is a kind of dress that must also be included?

(A) I (B) K (C) L (D) M (E) O

2. If K is not included in a particular gift box, any of the following kinds of dresses can be included EXCEPT

(A) L (B) M (C) N (D) O (E) U

3. Which of the following kinds of dresses must be included in each of the gift boxes? (A) I (B) J

4. If U is included in a gift box, the box must also include which of the following kinds of dress?

(A) I and J	(B)	I and K	(C)	J and K
(D) L and N	(E)	N and O

Question No 5 - 10

In a flat, five workers making a plan for cooking food for each working day, Monday through Friday, during a single week. Exactly five workers—R, S, T, U, and V—are available. The administration must assign exactly two workers to work each day of that week according to the following conditions:

Each of the workers must work at least once.

None of the workers can work on three consecutive days. S must work on Monday.

U must work on Thursday and on Friday.

R cannot work on any day on which S works.

5. Any of the following workers could be assigned to work on Wednesday EXCEPT

(A) R

(B) S

(D) U (E) V

6. If R is assigned to work on exactly three days of the week, those days must include

(A) Monday and Wednesday

(B) Tuesday and Wednesday

(D) Wednesday and Friday

(E) Thursday and Friday

7. If S is assigned to work on exactly four days of the week, which of the following could be the pair of workers assigned to work on Wednesday?

(A) ' R and T

(B) R and U

(D) S and V

(E) U and V

8. If R is assigned to work whenever and only when U is assigned to work, which of the following could be true?

(A) R is assigned to work on Monday.

(B) R is assigned to work on Wednesday.

(D) T is assigned to work on Friday.

(E) V is assigned to work on Tuesday.

9. If S is assigned to work on only one day and T is assigned to work on exactly four days, which of the following pairs of workers must be assigned to work on Wednesday? (A) R and T

(B) R and V

(D) T and U

(E) T and V

10. If each worker is assigned to work exactly twice which of the following must be true?

(A) Either R or S is assigned to work on at least one of the days on which U is assigned to work.

(B) S is assigned to work on both of the days on which T is assigned to work.

(D) T is assigned to work on one of the days on which S is assigned to work and on one of the days on which R is assigned to work.

(E) V is assigned to work on two consecutive days

Question No 11 - 14

A Doctor is doing an informal study of the growth of exactly seven dogs—G, N, O, U, V, W, and X—all six-month-old doggies from the same area . The Doctor assistant collected the following comparative data concerning the dogs heights:

V is taller’ than X. U is taller than W.

G is taller than X.

O is taller than N, but X is taller than O.

None of the seven dogs is exactly the same height as any other dog from the area.

11. Which of the following could be the correct ordering of the dogs from tallest to shortest? (A) G, V, X. N, U. O, W

(B) U, W, G, X, O, V, N

(D) V, X, U, O, W, G, N

(E) W, V. G, X, O, U, N

12. Which of the following must be true?

(A) G is taller than O.

(B) G is taller than V.

(D) W is taller than N.

(E) X is taller than W.

13. If W is taller than X which of the following must be true?

(A) U is taller than G.

(B) U is taller than O. (C) U is taller than V.

(D) V is taller than G.

(E) X is taller than U.

14. If X is taller than U, any of the following can be true EXCEPT:

(A) N is taller than U.

(B) U is taller than O.

(D) W is taller than N. (E) W is taller than O.

Question No 15 - 18

A garden plot consists of seven parallel rows of trees, the rows numbered consecutively one through seven. In each row a different one of seven trees— Q, R, S, T, U, V, W—is to be grown according to the following conditions:

Neither Q nor R can be in a row next to the row W is in. T must be grown in cither row one or row seven.

S must be grown in a row next to a row containing either U or W, or in a row that is the only row between the rows containing U and W.

If V is next to only one other row of trees, that row must contain R.

15. If W is next to T, and V is in the seventh row, in which row must W be planted? (A) 2 (B) 3 (C) 4 (D) 5 (E) 6

16. Which of the following is a possible order for the trees in the garden plot, beginning with row one?

(A) S Q R U W V T

(B) T W Q S U R V

(D) T U S W Q R V

(E) U W S Q T V R

17. If V is in the first row and Q is in the sixth row, which tree must be in the, fourth row? (A) R (B) S (C) T (D) U (E) W

18. If Q, R, S, U, and W are in the inner five rows, which of the following is a possible ordering of these trees in the five rows?

(A) Q R W S U

(B) Q U S W R

(E) S Q R U W

Test No 16

Question No 1 - 5

A doctor has prescribed a meal program for a patient. Choosing from meals F, G, H, I, J, K, L, and M, the patient must take a routine of exactly five different meals each day. In any day routine, except the first, exactly three of the meals must be ones that were included in the routine done on the previous day, and any permissible routine must also satisfy the following conditions:

If F is in a routine, L cannot be done in that routine.

If G is in a routine, J must be one of the meals done after G in that routine. If H is in a routine, L must be one of the meals done after H in that routine. The fifth meal of any routine must be either I or K.

1. Which of the following could be the routine for the first day of the program? (A) F, H, L, I, K

(B) G, I, H, L, K

(D) K, G, I, J, M

2. If one day's routine is F, G, M, J, K, each of the following could be the next day's routine EXCEPT

(A) G, H, L, J, K

(B) G, J, L, M, I

(D) M, J. K, L, I

(E) M, J, I, F. K

3. Which of the following is true of any permissible routine?

(A) F cannot be done third.

(B) G cannot be done third.

(D) H cannot be done fourth. (E) K cannot be done fourth.

4. If the patient chooses H and M for the first day's routine, which of the following could be the other three meals chosen?

(A) F, J, K (B) G, I. L

(D) J, I, K

(E) J, I, L

5. If H is the third meal in a routine, which of the following CANNOT be the second meal in that routine?

(A) G (B) I (C) J (D) K (E) M

Question No 6 - 11

A university has decided to appoint a four-member commission to review educational policy. Eight members are eligible to serve on the commission: R, S, T, U, V, W, X, and Y. Three of these eight—S, V, and W—are student, whereas the remaining five are teacher. University policy and the personalities of the eight people in question dictate that the choice of commission members meet the following conditions:

The commission must be composed of exactly two teacher members and exactly two student members.

S and T cannot serve together.

If Y is on the commission, then neither W nor X can be on the commission. If U is on the commission, then T must be on the commission.

If both R and T are on the commission, then V cannot be on the commission.

6. If Y is on the commission, the other three members of the commission must be (A) R, S, and V

(B) R, S, and W

(D) S, U, and V

(E) T, U, and V

7. If T is on the commission, which of the following is one of the faculty members who must also be on the commission?

(A) R (B) U (C ) V (D) X (E) Y

8. If S is on the commission, any of the following could be on the commission EXCEPT

(A) U (B) V (C) W (D)O (E) Y

9. If neither R nor Y is on the commission, which of the following could be a list of the commission members?

(A) S, T, V, and X

(B) S, U, W, and X

(D) T, U, V, and X (E) T, V, W, and X

10. If V is not on the commission, which of the follow ing is a list of people all of whom must be on the commission? (A) R, S, and W

(B) R, T, and W

11.V and W do not both serve on the commission, which of the following is a list of people all of whom could be on the commission together?

(A) R, S, and V

(B) R, T, and W

(D) S, U, and W

(E) U, V, and Y

Question No 12 - 15

I, J, and K are Banks, and L, M, N, and O are employees. Each employee job at least one Bank. L always works for I and at least one of the other Banks.

Some of the time J employs only one of these employees; the rest of the time it employs exactly two of them.

I and K each employ exactly two of these employees all the time.

12. If M jobs at K only, and if N jobs at J and K only, O jobs at

(A) I only

(B) J only

(D) both I and J

(E) both I and K

13. If L and M both job at the same two Banks, O must jobs at

(A) both I and J

(B) both I and K

(D) either I or K but not both

(J) either J or K but not both

14. Whenever only N jobs at J, which of the following must be true?

(A) M jobs at either I or J but not both.

(B) O jobs at either J or K but not both.

(D) L and O cannot jobs at the same Bank.

(E) M and O cannot jobs at the same company.

15. Whenever J employs only one employee, which of the following must be true? I. M jobs at two Banks. II. O jobs at J.

III. N jobs at only one Bank.

(A) I only

(B) II only

(D) I and II only

(E) II and III only

Question No 16 - 19

A store owner is setting up several mouse boxes, each to contain accurately six mouse so chosen from varieties M,' N, O, P, Q, R, and S that none of the mouse in any given box will fight. Mouse of any of the varieties above can be placed in a box together except for the following restrictions:

Mouse of varieties M will fight with mouse of varieties O, Q, and R. Mouse of varieties P will fight with mouse of varieties N and R.

If three or more mouse of varieties P are in one box, they will fight with each other. Mouse of varieties Q will fight with mouse of varieties S.

If a mouse of varieties N is to be in a box, at least one mouse of varieties R must also be in the box.

16. If a box is to contain mouse of exactly three different varieties, these varieties could be

(A) M, N, and P (B) M. P, and R (C) N, O, and P

(D) O, P, and Q (E) P, Q, and S

17. If there are to be exactly two varieties represented in a box, and three mouse of varieties Q are to be in the box, the other three mouse in that box could be from which of the following varieties?

(A) M (B) N (C) O (D) P (E) S

18. If a box is to contain mouse of exactly four different varieties, it CANNOT contain mouse of varieties

(A) M (B) N (C) O (D) Q (E) S

19. Mouse of which of the following varieties could be put into a box with mouse of varieties N?

(A) M and P (B) M and Q (C) O and P (D) O and R (E) P and R

Test No 17

Question No 1 - 5

Ten persons will sit around a table. The ten persons will be seated in two rows of five chairs that face each other along the two long sides of the rectangular table. The chairs are numbered consecutively from 1 to 10 with chairs 1 through 5 on one side of the table and chairs 6 through 10 on the other side, with chair 6 opposite chair 5. Five of the ten persons are men— F, G, H, J, and L—and five of the persons are women—M, R. S, T, and Y! The seating is governed by the following rules:

On each long side of the table, no more than two consecutive chairs can be occupied by men.

T cannot sit beside H. F cannot sit beside G. M must sit beside R.

H must sit beside J.

1. Which of the following can be the arrangement of people in chairs 1 through 5 ? Chair 1 Chair 2 Chair 3 Chair 4 Chair 5

(A) F H	J	M	R
(B) F G	M	T	L
(C) L M	R	J	H
(D) M G	R	Y	L
(E) S F	T	H	J

2. If J is in chair 7, H is in chair 8, and F is in chair 10, which of the following can be in chair 9?

(A) L

(B) M (C) R

(D) T

(E) Y

3. If G, Y, and J are in chairs I through 3, respectively, which of the following must be in chair 5?

(A)	F
(B)	L
(C)	R
(D)	S
(E)	T

4. If T, S, F, L, and Y are in chairs 1 through 5, respectively, then G must be either in chair

(A) 6 or in chair 8

(B) 6 or in chair 10

(D) 8 or in chair 9

(E) 8 or in chair 10

5. If as many women as possible are seated on the side that has chairs numbered 1 through 5, which of the following statements must be true?

(A) Chair 3 is occupied by a man.

(B) Chair 8 is occupied by a woman.

(D) Chairs 4 and 5 are each occupied by a woman. (E) Chairs 5 and 6 are each occupied by a woman.

Question No 6 - 11

The organizers of a speech tournament will give an awards banquet after the final round of debates for the two teams in that round: for the Model School, composed of Instructor M and speakers N, O, and P, and for the Oxford School, composed of Instructor Q and speakers R, S, and U. At the winners' table exactly seven places will be set, all along one side of the table and consecutively numbered one

through seven. The assignment of sitting to these seven positions will be determined by the team scores from the final round of debates and must meet the following conditions:

All the speakers will be seated.

If one team wins, the Instructor of the winning team will sit in the first position and a speaker from that team will sit in the fourth position.

In case of a tie, neither Instructor will sit at the winners table, and Judge Z will sit in the fourth position.

No two speakers from the same team can sit next to each other. N and U will not sit next to each other.

6. Which of the following could be an acceptable assignment for chairs one through four, respectively

One

Two

Three Four

(A) N

(B) M

7. If O (C) Q which (D)

(A) M (E) S

Q N N U U

P U S O P

U P

R and U sit, respectively, in the second and seventh positions, S of the following must sit in the first position? R (B) N (C) P (D)Q (E) R

8. If U and P are, respectively, in the first and seventh positions, which of the following must sit in the fifth position?

(A) N (B) O (C) Q (D) R (E) S

9. If the Model School and the Oxford School tie, which of the following could be an acceptable assignment for positions three through six, respectively? Three Four Five Six

(A) N	Z	O	U
(B) O	U	R	N
(C) S	Z	N	U
(D) S	Z	U	O
(E) U	Z	N	S

10. If Q and N sit in the first and third positions, respectively, which of the following can sit in the fourth position?

(A) O (B) P (C) Z (D) S (E) U

11. If N, S, and P sit, respectively, in the third, fifth, and sixth positions, which of the following must sit in the seventh position?

(A) M (B) O (C) Q (D) R (E) U

Question No 12 - 15

Chairs on a small plane are being assigned to six persons—F, G, H, I, J, and K. The eight chairs on the plane are in four rows, numbered 1 through 4, and each row has two seats. Chair assignments are made according to the following conditions:

F must sit alone in a row. G must sit in the same row as I. H cannot sit in the same row as J.

The rows with only one person must be row 1 and row 3.

12. Which of the following persons could be assigned to sit in the same row as H ?

(A) F

(B) G

(D) J

(E) K

13. If G and I are in row 2, which of the following must be true?

(A) F is in row 1.

(B) H is in row 1.

(E) K is in row 4.

14. Which of the following is the total number of persons eligible to be the person assigned to sit in the same row as K?

(A) 1

(B) 2

(D) 4

(E) 5

15. If H and K are assigned to sit together in a row, which of the following persons could be assigned to sit in row 3?

(A) G

(B) H

(D) J

(E) K

Question No 16 - 19

A variety show producer is interviewing five entertainers in five consecutive interviews. Each entertainer interviews alone, and only once. The five entertainers are: two singers (a tenor and a soprano), a dancer, a juggler, and a actor. The interviews must be scheduled according to the following conditions:

The two singers cannot interview one after the other. The juggler must interview immediately before a singer.

The actor must interview immediately before or immediately after the dancer.

16. If the actor interviews first, which of the following must be true?

(A) The soprano interviews third.

(B) The juggler interviews fourth.

(D) The soprano interviews sometime earlier than the dancer. (E) The dancer interviews immediately before the tenor.

17. If the tenor interviews first and the soprano interviews fifth, which of the following must be true?

(A) The actor interviews sometime after the juggler.

(B) The actor interviews immediately after the dancer.

(D) The juggler interviews sometime before the actor.

(E) The dancer interviews immediately before the juggler.

18. If the actor, the soprano, and the juggler interview one after the other, in that order, which of the following must be true?

(A) The actor is the first of the five to interview.

(B) The soprano is the second of the five to interview.

(D) The dancer is the fourth of the five to interview. (E) The tenor is the fifth of the five to interview.

19. If the juggler interviews sometime earlier than the dancer, a singer CANNOT interview in which of the following positions?

(A) First

(B) Second

(D) Fourth

(E) Fifth

Test No 18

Question No 1 - 5

Six duty workers—Ali, Bilal, Ghulam, Jamal, Muneer, and Tanveer—are planning to perform a duty program consisting entirely of three shifts. Each shift requires two fire men, one gas expert, and a driver. Each worker must perform duty of in at least one shift, and each worker can perform duty of, at most, one role in a shift. No worker can perform duty of the same type of role (fire man, gas expert, or driver) in two successive shifts.

Ali can perform duty of fire man only, and must perform duty of in the first shift. Bilal can perform duty of fire man or driver.

Ghulam can perform duty of fire man or gas expert. Jamal can perform duty of gas expert only.

Muneer can perform duty of fire man or driver. Tanveer can perform duty of driver only.

1. Any of the following duty workers could perform duty of in the second shift EXCEPT (A) Ali

(B) Bilal

(E) Tanveer

2. If Ghulam can perform duty of gas expert in the first shift, which of the following must be true? (A) Bilal can perform duty of driver in the first shift.

(B) Ghulam can perform duty of gas expert in the second shift. (C) Ghulam can perform duty of gas expert in the third shift.

(D) Jamal can perform duty of gas expert in the second shift,

(E) Tanveer can perform duty of driver in the first shift.

3. If Ali, Bilal, Ghulam, and Jamal perform duty of in the first shift, which of the following could be the group of duty workers playing in the second shift?

(A) Ali, Bilal, Ghulam, and Muneer

(B) Ali, Ghulam, Muneer, and Tanveer

(D) Bilal, Ghulam, Muneer, and Tanveer

(E) Bilal, Jamal, Muneer, and Tanveer

4. Which of the following groups of duty workers includes all those, and only those, who CANNOT be scheduled to perform duty of in all three shifts, no matter what schedule is devised? (A) Ali,

Bilal, and Ghulam

(B) Ali, Jamal, and Tanveer

(D) Bilal, Jamal, and Muneer

(E) Ghulam, Jamal, and Tanveer

5. Unavailability of which of the following duty workers would still permit scheduling the five remaining players so that the proposed program could be performed?

(A) Bilal

(B) Ghulam

(D) Muneer

(E) Tanveer

Question No 6 - 10

A wild-animal hospital has its cages in a single row. Animals are homed one to a cage. To avoid disturbing the animals, the hospital does not home an animal of-a predator varieties in a cage next to that of an animal of a varieties on which it attacks. The animals the hospital can accept are of varieties G, H, I , J, and K, which among them have only the following predator-prey relationships:

G attacks on H.

K attacks on H.

G attacks on I.

I attacks on J.

6. If the hospital has one animal of each of the five varieties, which of the following, in order, is an acceptable placement of the animals in consecutive cages? (A) G, I, H, J, K (B) G, J, K, I, H .

(E) I, K, J, G, H

7. If four animals, one each of varieties G, H, I, and K, are to be placed in four consecutive cages, not necessarily in the order given, which of the following must be true?

(A) The G and the H are each placed in an end cage of the four cages.

(B) The G and the I are each placed in an end cage of the four cages.

(D) The H and the I are not placed in cages adjacent to each other. (E) The I and the K are not placed in cages adjacent to each other.

8. If four animals, one each of varieties G, H, I, and J, are to be placed in four consecutive cages, not necessarily in the order given, the J must be placed next to

(A) the G and in an end cage of the four cages

(B) the I and in an end cage of the four cages

(D) both the G and the I

(E) either the G or the H, but not both

9. If four animals, one each of varieties G. I, J, and K, are to be placed in four consecutive cages, not necessarily in the order given, which of the following can be true?

(A) The I is in a cage adjacent to the cage of the G.

(B) The I and the K are in end cages of the four cages.

(D) The G and the K are in inner cages of the four cages. (E) The I and the K are in inner cages of the four cages.

10. If the hospital has one animal of each varieties, and if they are to be placed in five consecutive cages with the J in the middle cage, which of the following must be true?

(A) The G is placed in an end cage of the five cages. (B) The H is placed in an end cage of the five cages.

The I is placed in a cage adjacent to the K's cage.

Question No 11 - 14

Six cloth washmen— Ali, Babar, Farhan, Dawood, Galib, and Hamid — are arranging a cloth washing schedule for the six days of their camping trip so that each of them will wash cloth on only one day.

Babar washes either on day 2 or on day 6.

If Ali washes on day 1, Farhan washes on day 4; Farhan does not wash on day 4 unless Ali washes on day 1.

If Ali washes on day 1, Hamid washes on day 5; Hamid does not wash on day 5 unless Ali washes on day 1.

If Galib does not wash on day 3, Ali washes on day 3. If Ali washes on day 4, Dawood. washes on day 5.

If Babar washes on day 2, Galib washes on day 5.

If Hamid washes on day 6, Dawood washes on day 4.

11. Which of the following is an acceptable order in which the cloth washmen can wash cloths from the first to the last day?

(A) Dawood, Babar, Ali, Galib, Farhan, Hamid (B) Babar, Ali, Hamid, Farhan, Galib,

Dawood

(D) Farhan, Babar, Ali, Dawood, Galib, Hamid

(E) Ali, Babar, Dawood, Farhan, Galib, Hamid

12. If Dawood washes on day 6 on which day does Farhan wash? (A) 1 (B) 2 (C) 3 (D) 4 (E) 6

13. If Ali washes on day 1, who washes on day 2?

(A) Babar

(B) Farhan

(D) Galib

(E) Hamid

14. If Babar washes on day 2, which of the following is a complete and accurate list of the days that could be the day on which Hamid washes?

(A) 1

(B) 4

(D) 4,6 (E) 1,4,6

Question No 15 - 18

On a cost sheet, a manager is filling in numbers on eleven lines— J, N, O, P, S., T, U, W, X, V, and Z— according to the following instructions and no others:

Line J must be derived from lines N, O, and V as N plus O minus V. Line T. must be derived from lines P and S. as P plus S.

Line W must be derived from lines T and U as T minus U. Line X must be derived from lines W and J is W minus J. Line V must be derived from fine T as five percent of T Line Z must be derived from line X as half of X.

15. V cannot be derived unless which of the following is known?

(A) J

(B) N

(D) P

(E) U

16. J cannot be derived unless which of the following is known?

(A) S

(B) U

(D) X

(E) Z

17. It is necessary for the manager to know O before the manager can derive (A) T

(B) U (C) W

(D) X

(E) V

18. If the manager knows P, O, S, and U but not N. which of the following is a pair of lines that the manager can derive? (A) J and V .

(B) T and W

(D) X and V

(E) X and Z

Test No 19

Question No 1 - 5

A map representing cities F, G, H, I, J, and K. is to be drawn. Neighboring cities cannot be the same color on the map.

The only cities neighboring to each other are as follows: F, G, I and J are each neighboring to H.

I is neighboring to J.

F and G are each neighboring to K.

1. Which of the following is a pair of cities that must be different in color from each other?

(A) F and I (B) G and I (C) G and K (D)I and K (E) J and K

2. If I is the same color as K, then it must be true that

(A) F is the same color as J

(B) G is the same color as I

(D) G is a different color from any other city

(E) H is a different color from any other city

3. Which of the following is a pair of cities that can be the same color as each other? (A)

F and G (B) G and H (C) H and I (D)H and J (E) I and J

4. Which of the following cities can be the same color as H?

(A) F

(B) G

(D) J

(E) K

5. If the fewest possible colors are Used and one of the cities is the only one of a certain color that city could be

(A) H, but not any of the other cities

(B) K, but not any of the other cities

(D) H or I or J, but not any of the other cities

(E) H or J or K, but not any of the other cities

Question No 6 - 11

A project consists of eight tasks—N, Q, R, T, U, V, W, and Y—that all must be performed. Three days are allotted for the project. Each task requires exactly one evening or else one night to be performed, and at most two tasks can be performed during any given evening or night. The following restrictions must be observed:

Q must be performed on the second day. W must be performed in the evening;

R and U must be performed at the-same time as each other.

Q must be performed at some time after U has been completed and at some time after V has been completed.

V must be completed at some time before W is performed and at some time before Y is performed.

6. Which of the following can be the schedule for the tasks of the project?

Day One

Day Two

Day Three

(A)	Evening	R, U	Q, W
	Afternoon	N, T	V, Y
(B)	Evening	R, U	N	W
	Afternoon	V	T	Q, Y

(D) Evening U R, V W

Afternoon T Q N, Y

(E) Evening V R, U N, W Afternoon T Q Y

7. Which of the following must be completed at some time before Q is performed?

(A) N (B) R (C) T (D) W (E) Y

8. At the earliest, W can be performed during which of the following time periods?

(A) The evening of the first day

(B) The night of the first day

(D) The night of the second day

(E) The evening of the third day

9. If Q is performed in the evening, which of the following must be performed on the first day?

(A) N (B) R (C) T (D) W (E) Y

10. If N and T are both performed on the first day, which of the following must be performed on the third day?

(A) R (B) U (C) V (D) W (E) Y

11. If the project is to be completed by the end of the second day, which of the following must be performed on the second day?

(A) N (B) R (C) T (D)V (E)Y

Question No 12 - 15

The mixing vat in a factory receives liquid ingredients through 6 separate boxes— labeled L, M, N, O, P, and Q—each of which has exactly two settings: green and

blue. The mixing-vat operator must ensure that each box is set green or blue according to the following conditions:

If N is green, both M and Q must be blue.

L and Q cannot both be blue at the same time. If P is blue, Q must also be blue.

M and O cannot both be green at the same time.

12. If Q is green, which of the following must be true?

(A) L is green.

(B) M is green.

(D) O is green.

(E) P is green.

13. If L is blue and O is green which of the following must be true?

(A) M is green.

(B) N is green.

(E) Q is blue.

14. If the maximum numbers of boxes that can be blue at the same time are blue, which of the following must be true?

(A) L is green.

(B) M is green.

(D) Q is green.

(E) All boxes are blue.

15. Which of the following, if given to the mixing-vat operator as an instruction, would NOT determine the setting of any other box?

(A) M must be green

(B) N must be green

(D) M must be blue

(E) P must be blue

132

Question No 16 - 19

A set designer will select colors for six sets that will be used for six consecutive pictures of a ballet, with each picture having a single set. The artistic director has selected eight paint colors—green, magenta, orange, purple, brown, red, white, and yellow—and has asked the designer to use those colors according to the following specifications:

No color can be chosen for more than one set.

Sets in pictures 1 and 4 will be painted partly one color and partly another color; sets in the other four pictures will each be painted a single color.

If green is chosen for the set in any picture, brown must also be chosen for the set in that picture.

Purple and orange are never used in the same picture as each other.

Red is chosen for the set. in the picture immediately following the picture for which white is chosen, and neither of these colors is used in the same picture as any other color.

16. If yellow is chosen for picture 2 and brown is one of the colors chosen for picture 4, which of the following must be one of the colors chosen for ballet 1?

(A) Green

(B) Magenta

17. If orange is chosen for picture 5, which of the following must be true?

(A) Green is chosen for picture 1.

(B) Magenta is chosen for picture 4.

(D) Red is chosen for picture 3.

(E) Yellow is chosen for picture 4.

18. If white is chosen for picture 5, which of the following can be true?

(A) Green is chosen for picture 2.

(B) Magenta is chosen for picture 6.

(D) Magenta is chosen for picture 2, and yellow is chosen for picture 3. (E) Orange is chosen for picture 2, and yellow is chosen for picture 3.

19. For picture 2, the designer can select a color from a-maximum of how many acceptable colors?

(A) One

(B) Two

(D) Four

(E) Five

110

Test No 20

Question No 1 - 5

A company president wishes to select four members of a marketing-finance committee as representatives to meet with the company’s board of trustees. The marketing-finance committee consists of exactly four marketing members— J, K, L, and M—and four finances— W, X, Y, and Z. The president can select any of the committee members as representatives as long as he observes the following restrictions:

The group of four representatives must consist of exactly two marketing members and two finances.

Either J or K must be one of the representatives, but J and K cannot both be representatives. If W is a representative, L must also be a representative.

If Y is a representative, K cannot be a representative.

1. If W is a representative, which of the following CANNOT also be a representative?

(A) L (B) M (C) X (D) Y (E) Z

2. If neither X nor Z is a representative, which of the following is the pair of marketing members who must be representatives?

(A) J and K

(B) J and L

(D) K and L

(E) K and M

3. If K is representative, which of the following can be the other three representatives?

(A) J X Z

(B) L M W

(D) L X Y

(E) M W Z

Durrani

4. If K, M, and X are representatives, which of the following must also be a representative?

(A)	J
(B)	L
(C)	W
(D)	Y
(E)	Z

5. If Y is a representative and L is not a representative, the group of representatives would be completely determined if it were also true that

(A) J is a representative

(B) M is a representative

(D) W is not a representative

(E) Z is not a representative

Question No 6 – 11

In order to solve a robbery that has taken place at the Mehmood’s factory, Inspector Rehan has been instructed to search exactly seven locations—F, K, L, G, H, M and N. Locations F, K, and L are located ground floor, whereas locations G, H, M, and N are located first floor. During the first visit to search for evidence, Inspector Rehan has time to search exactly three locations. This search must be conducted according to the following conditions:

The three locations searched must be neither all first floor nor all ground floor. If the H is searched, then the F must also be searched.

If the M is not searched, then the G cannot be searched. K and the L cannot both be searched.

The three locations searched must include the L or the N, or both.

6. Which of the following is a selection of locations that conforms to the conditions for Inspector Rehan first visit?

(A) F, G, H

(B) F, H, L

(D) G, H, K

(E) G, M, N

7. During the first visit, if the K is searched, which of the following must also be searched?

(A) F (B) G (C) H (D) M (E) N

8. During the first visit, if the M is searched, which of the following is a pair of locations that can both also be searched?

(A) F and H

(B) G and K

(D) K and L

(E) K and N

9. During the first visit, if the G is searched, which of the following must also be searched? (A) F

(B) H (C) K (D) L (E) N

10. During the first visit, if the K is the only down stairs location searched, which of the following must also be searched?

(A) M and N

(B) H and N

(D) G and N

(E) G and M

11. During the first visit, if the L is not searched, which of the following is a pair of locations that can both be searched?

(A) F and G

(B) H and K

(D) H and M (E) G and K

Question No 12 - 14

Seven rooms in a building are to be painted. The rooms, which are on one side of a hallway, are numbered consecutively, one to seven, from the front of the building to the back. Each room is to be painted one color only according to the following conditions:

Two rooms must be painted pink; two rooms must be painted brown; two rooms must be painted gold; and one room must be painted silver.

The two rooms painted gold must be next to each other. The two rooms painted brown cannot be next to each other.

The room painted silver cannot be next to an room painted pink. Room 3 must be painted pink.

12. If room 2 is painted gold, which of the following rooms must also be painted gold? (A) 1

(B) 3 (C) 4

(D) 5

(E) 6

13. If room 5 is painted pink, which of the following could be true? (A) Room 1 is painted brown.

(B) Room 2 is painted silver. (C) Room 4 .is painted gold.

(D) Room 4 is painted silver.

(E) Room 6 is painted silver.

14. If room 4 is painted pink and a room that is painted gold is next to a room that is painted pink, which of the following must be true?

(A) Room 1 is painted gold.

(B) Room I is painted silver.

(E) Room 7 is painted brown.

Question No 15 - 18

A letter carrier must deliver letter by making a stop at each of six buildings: T, U, V, W, X, and Y. Letter to be delivered is of two types, normal letter and special letter. The delivery of both types of letter is subject to the following conditions:

Regardless of the type of letter to be delivered, letter to X, and letter to Y must be delivered before letter to V is delivered.

Regardless of the type of letter to be delivered, letter to U and letter to T. must be delivered before letter to Y is delivered.

Letter to buildings receiving some special letter must be delivered, as far as the above conditions permit; before letter to buildings receiving only normal letter.

15. If T is the only building receiving special letter, which of the following lists the buildings in an order, from first through sixth, in which they can receive their letter?

(A)' U, T, X, Y, W, V

(B) U, T, Y, X, V, W

(D) T, X, U, Y, W, V

(E) W, T, U, X, Y, V

16. If U, V, and Y are each receiving special letter which of the following lists the buildings in an order, from first to sixth, in which they must receive their letter?

(A) T, U, X, Y, W, V

(B) U, T, W, X, Y, V

(D) V, U, Y, X, T, W

(E) Y, U, V, X, T, W

17. If the sequence of buildings to which letter is delivered is W, X, U, T, Y, V and if Y is receiving special letter, which of the following is a complete and accurate list of buildings that must also be receiving special letter?

(A) W, U

(B) W, X

(D) X, V

(E) W, X, U, T

18. If only one building is to receive special letter, and, as a result, W can be no earlier than fourth in the order of buildings, which of the following must be the building receiving special letter that day? (A) T (B) U

(D) X

(E) Y