Types of Analytical Games : HAT Test Preparation

Types of Analytical Games

There are three most common analytical games

Subscribe on Youtube

1. Ordering Game

Ordering analytical games require the examinee to place the "person" provided in the set of conditions in a particular sequence. The ordering game could require the examinee to place tasks, boys, or things in sequence.

Two examples of ordering analytical games are given below;

Example No 1

Seven Trains—R, S, T, U, V, W, and X—-are to be scheduled for departure, one at a time on the hour, from 6:00 a.m. until 12 noon The schedule must conform to the following requirements:

Train R must depart at 6:00 a.m.

Train V must depart later than Train T, and also later than Train S. Trains U, W, and X must depart on consecutive hours in that order.

1. If Train X is scheduled to depart at noon, Train V must be scheduled to depart at (A) 7:00 a.m. (B) 8:00 a.m. (C) 10:00 a.m.

(D) 11:00 a.m. (E) 12 noon

2. If Trains T and U are scheduled to depart at 8:00 a.m. and 9:00 a.m., respectively, Train S must be scheduled to depart at

(A) 6:00 a.m. (B) 7:00 a.m. (C) 10:00 a.m.

(D) 11:00 a.m. (E) 12 noon

3. Which of the following lists three Trains in a sequence, from first to last, in which they could be scheduled to depart consecutively?

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

(E) W. X, U

4. If Train W is scheduled to depart at 11:00 a.m., Train V must be scheduled to depart at (A) 7:00 a.m. (B) 8:00 a.m. (C) 9:00 a.m. (D) 10:00 a.m. (E) 11:00 a.m.

5. Which of the following must be true about the scheduled order of the Trains?

(A) Train T is scheduled to depart later than Train S.

(B) Train U is scheduled to depart later than Train T.

(E) Train X is scheduled to depart later than Train W.

6. What is the latest hour at which Train S can be scheduled to depart?

(A) 7:00 a.m. (B) 8:00 a.m. (C) 9:00 a.m. (D) 10:00 a.m. (E) 11:00 a.m. Solution
Trains R S T U V W X Numbering 1 2 3 4 5 6 7 Time 6:00am7:00 8:00 9:00 10:00 11:00 12:00noon
Rules Rule I, Train R = 1 Rule II, Train V > T, S Rule III, Train U, W and X depart consecutively in same order
Question No 1
1	2	3	4	5	6	7
As question and as Rule I, R		X
As Rule III, R	U	W	X
Remaining as Rule II, R So, Choice E is correct. Question No 2	S	T	V	S	T	V
1	2	3	4	5	6	7
As question and as Rule I, R		T	U
As Rule III, R		T	U	W	X
Remaining as Rule II, R So, Choice B is correct. Question No 3	S	T	U	W	X	V
1^st Step Check Rule III So, Choice D is correct. Question No 4		A, B, C, E is wrong
1	2	3	4	5	6	7
As question and as Rule I, R					W
As Rule III, R		U			W	X
Remaining as Rule II, R So, Choice C is correct.	S	T	V	U	W	X

Question No 5

As Rule III, Choice E is correct.

Question No 6

As Rule II, Train S < V, so Train S cannot be departs at 12:00noon. Then it will depart at 11:00a.m. as latest hour.

So, Choice E is correct.

Example No 2

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 (C) third

(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

Solution

Famous Places F, R, H, L, M, C, T

Rules

Rule I, F ≤ 3 Rule II, H = R – 1 Rule III, L ≠ 1, 7 Rule IV, M = 1/7 Rule V, C ≥ 5 Question No 1 1^st Step Check Rule IV			C is	wrong
2^nd Step Check Rule I E is wrong 3^rd Step
Check Rule II A, D is wrong
So, Choice B is correct. Question No 2
1		2	3	4	5	6	7
As question	T	L	F
As Rule IV, M =1/7, M ≠ 1, so Rule V, C ≥ 5 then	T As	L	F				M
Option 1	T	L	F			C	M
Option 2 As Rule II, H = R – 1, then Option 2	T	L	F		C		M
is wrong, then Choice D is correct. Question No 3	T	L	F	H	R	C	M
1		2	3	4	5	6	7
As question and Rule II,	H	R
As Rule I,	H	R	F
As Rule IV, M = 1/7, so As Rule V, C ≠ 4	H	R	F				M

Remaining T and L can be fourth H R F T/L L/T C M Check the choices,

Choice C is correct,

Question No 4

1 2 3 4 5 6 7

As question C

As Rule II, H = R – 1, then H ≠ 5, If H = 5 then R = 6 which is wrong So, Choice E is correct. Question No 5

1	2	3	4	5	6	7 As
		F		C

As question F must be 3^rd and C must be 5^th Place of visit. question

H & R ≠ 4, as Rule II, H = R – 1, As Rule IV, M ≠ 4

Then remaining L or T must be fourth, and then Choice E is correct.

2. Grouping Game

Grouping analytical games require the examinee to select a group of person, boy, girl, teacher etc according to the set of conditions provide.

Two examples of grouping analytical games are given below;

Example No 3

From time to time, the President of a company appoints planning Boards, each consisting of exactly three members. Eligible for appointment are three executives from Marketing—R, S, and T—and three executives from Finance—U, V, and W. Any given Board is subject to the following restrictions on appointments:

At least one member must be from Marketing, and at least one member must be from Finance. If R is appointed, S cannot be appointed.

Neither T nor V can be appointed unless the other is appointed also. If U is appointed, W must also be appointed.

1. Which of the following is an acceptable Board?

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

2. If appointees from Marketing are in the majority on a Board, that Board must include (A) R (B) S (C) U (D) V (E) W

3. If appointees from Finance are in the majority on a Board, that Board must include

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

4. If R is appointed to the same Board as W, which of the following will be true of that Board?

(A) Appointees from Marketing are in the majority.

(B) Appointees from Finance are in the majority.

(D) V is a Board member.

(E) U is not a Board member.

5. If the restrictions on appointments apply also to a four-member Board appointed from the same group of executives, which of the following will be true?

(A) If R is appointed, W must also be appointed.

(B) If S is appointed, U must also be appointed.

(D) If V is appointed, S must also be appointed.

(E) If W is appointed, U must also be appointed.

Solution
Marketing Executive	R	S	T
Finance Executive	U	V	W
Exactly three member board	Rules

Rule I, at least one member from Marketing and at least one member from Finance

Option 1 Option 2

As question and Rule II, then R S

And remaining Marketing Executive, R T S T

As Rule III,

So, Choice D is correct.

Question No 3

Rule II, R ≠ S

Rule III, T = V

Rule IV, U → W

R T V S T V

Option 1 Option 2

1^st Step Check Rule III A, B, E is wrong

Question No 1

2^nd Step Check Rule IV C is wrong

So, Choice D is correct.

Question No 2

As question and Rule IV, then

As Rule III, T = V, so

Check the choices, Choice E is correct.

W T

As question, R As Rule II, R ≠ S, so S cannot be appoint, As Rule III, T = V, so both T and V cannot be appoint					W
Then remaining R So, Choice B is correct. Question No 5 Take each choice and make the board according to the Rules					W	U
Choice True/False Option 1					Option 2
A	True	R
As Rule II, remaining		R	T
As Rule III, T = V, so		R	T	V
As Rule IV, U cannot be
In board, so R		T	V	W

Choice A is correct answer, as If R appoint then W must be appoint.

Example No 4

The editors of a journal that publishes three issues a year will devote the upcoming first, second, and third issues— in that order—exclusively to essays written by seven writers: R, S, T, U, V, W, and X. Each of the seven writers will have at least one essay published, but some may have more than one essay published. The following restrictions apply to the publication of their essays:

If an essay by R appears in an issue, then an essay by S must also appear in that issue. If an essay by U appears in an issue, then an essay by W must appear in the immediately preceding issue.

An essay by W cannot be published in an issue that contains an essay by X. No writer may publish in each of two consecutively published issues or twice in the same issue.

Each of the issues being prepared must contain at least two essays.

The seven writers' essays can only appear in the upcoming first, second, and third issues.

1. The first issue of the journal can consist exclusively of essays by which of the following groups of writers?

(A) R and T

(B) U and W

(D) T, V, and W

(E) R, S, V, W, and X

2. If the first issue consists exclusively of essays by R and S, then the second issue can consist exclusively of essays by which of the following groups of writers?

(A) T and V

(B) T and W

(D) R, S, and X

(E) T, W, and X

3. Which of the following writers CANNOT contribute to the first issue of the journal? (A) T

(B) U (C) V

(D) W

(E) X

4. If the first issue consists exclusively of essays by S, T, and X, then the third issue must contain an essay by which of the following writers?

(A) S

(B) T

(D) W _ (E) X

5. If the third issue consists exclusively of essays by S, T, and U, then the second issue must have consisted of essays by which of the following groups of writers?

(A) R and V

(B) R and X

(D) V and W

(E) V and X

Solution

First Issue

Second Issue

Third Issue

Writer’s Essay

S T

V W

Rules	At least one essay of one writer must be published
Rule I,	R → S
Rule II,	W = U – 1
Rule III,	W ≠ X
Rule IV,	No writer may publish two essay in same Issue or Two consecutive Issue
Rule V,	Each issue must consist at least two essays

New Rule

As Rule II & III, W = U – 1 and W ≠ X then X ≠ U – 1 Question No 1

1^st Step Check Rule I A is wrong

2^nd Step Check Rule II B is wrong

3^rd Step Check Rule III

So, Choice D is correct. Question No 2

C, E is wrong

First Issue As question, R S As Rule IV, R & S cannot publish In Second Issue As Rule II, W = U – 1, then W must	Second Issue Third Issue
Publish in Second Issue, then R S As Rule III, W ≠ X	W		U
Then remaining R S Check the choices, Choice B is correct. Question No 3 As Rule II, W = U – 1, then U ≠ 1 So, Choice B is correct answer. Question No 4	W	T	U
First Issue As question, S, T, X Then W must be publish in Second	Second Issue Third Issue
Issue as Rule II, S, T, X R ≠ Second Issue, because as Rule I, R → S, and S cannot publish in	W		U
Second Issue as Rule IV, then S, T, X Check the Choices, Choice A is correct.	W		U, R, S
Question No 5
First Issue	Second Issue Third Issue
As question,	S, T, U
As Rule II, W = U – 1, so R ≠ Second Issue, because as Rule I, R → S, and S cannot publish in	W		S, T, U
Second Issue as Rule IV, then R, S As Rule III, W ≠ X, so X ≠ Second Issue	W		S,T, U
Then remaining as IV, R, S Choice D is correct.	W, V		S, T, U

3. Networking Game

Networking analytical games require the examinee to draw a connection or link between cities, computers, countries etc; according to the given relation. Below, there are two example of networking games;

Example No 5

A network system has exactly four message exchanges computers: R, S, T, and U. Messages travel from one computer directly to another computer only as follows: From R to S, but not vice versa

From R to T, but not vice versa From R to U, and vice versa

From S to T, and vice versa From S to U, but not vice versa From U to T, but not vice versa

A single direct path going in one direction from one computer to another is called a leg.

1. If a message is to travel from T to S over as few legs as possible, it must travel in which of the following ways?

(A) Directly from T to S

(B) Via R but no other computer

(D) Via R and U, in that order

(E) Via U and R, in that order

2. Which of the following is a complete and accurate list of computers to which a message can be sent along exactly one leg from U?

(A) R (B) T

(D) S, T

(E) R, S, T

3. Which of the following sequences of legs is a path over which a message could travel from S back to S

(A) From S to R, from R to S

(B) From S to T, from T to R, from R to U, from U to S

(D) From S to U, from U to R, from R to T, from T to S

(E) From S to U. from U to T, from Y to R, from R to S

4. If all of the legs in the system are equal in length, and if messages always travel along the shortest possible path, then the longest path any message travels in the system is the path from (A) S to R

(B) T to R

(D) U to R (E) U to S

5. If certain restricted messages cannot travel any further than one leg, and if an addition of one leg is to be made to the system so that such restricted messages can be sent from each computer to at least two others and also be received by each computer from at least two others, then that addition must be from

(A) S to R (B) T to R

(D) U to R

(E) U to S

Computers	R S T U
One Way	R →S and T S → U	U → T
Two Way	↔ ↔

R U S

Draw the following diagram according to the Rules, and then give the answer by looking the diagram.

Question No 1 Directly from T to S, So Choice A is correct.

Question No 2

As only

So, R and T

Choice C is correct.

Question No 3

U → T and U → R

Option 1

S →U →R →S

Option 2

S →U →R →T →S

Check the choices, Choice D is correct.

Question No 4

Longest path is

T →S →U →R Check the choices, Choice B is correct.

Question No 5

As longest path is from T to R

So, it must be made in path of T to R. Choice B is correct.

Example No 6

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 ii 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 (C) I

(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

Solution

Cities

G H I

Rule I,

H ⇔ F, G, I, J

Rule II,

I ⇔ J

Rule III,

K ⇔ F, G

Draw the following diagram according to the Rules, and then give the answer by looking the diagram.

Question No 8

Choice C is correct, as G and K are neighbor with each other.

Question No 9

Choice Possibility

A May be but not necessary B

Not true as I = K and G ⇔ K

C Not true because two neighbor city

D Not true because G can be same color of J and F

E Yes it must be true

So, Choice E is correct. Question No 10

Same color can be of K with H, I and J Same color can be of G with F, I and J Check the choices, Choice A is correct. Question No 11

As K is only city which is not connected with H, so H and K can be same color So, Choice E is correct.

Same color can be

H and K

K with I and J

F with G, I and J G

with F, I, J

Choice

Possibility

Question No 12

A	Not true because K and H can be same color
B	Not true, because K with H, I, and J can be same color
C	Not true, because F and G can be same color
D	Yes, H, I and J must be different color E and J may be same color	Not true because K

So, Choice D is correct.

Search This Blog

Naeem Iqbal