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?
(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.
(C)
S is a Board member.
(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?
(B)
If S is appointed, U must also be appointed.
(C)
If T is appointed, R 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
Rule
II, R ≠ S
Rule
III, T = V
Rule
IV, U → W
Question
No 1
1st
Step Check Rule III A, B, E is wrong
2nd
Step Check Rule IV C is wrong
So,
Choice D is correct.
Question
No 2
Option
1 Option 2
As
for question and Rule II, then R S
And
remaining Marketing Executive, R T S T
As
Rule III, R T V S T V
So,
Choice D is correct.
Question
No 3
Option
1 Option 2
As
to the question and Rule IV, then U W V W
As
Rule III, T = V, so U W V W T
Check
the choices,
Choice
E is correct.
Question
No 4
Board
As
for a question, R W
As
Rule II, R ≠ S, so S cannot be appointed,
As
Rule III, T = V, so both T and V cannot be appointed
Then
remaining R W U
So,
Choice B is correct.
Question
No 5
Take
each choice and make the board according to the Rules
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
Inboard,
so R T V W
Choice
A is the correct answer, as If R appoint then W must be appointed.
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
(C)
R, W., and X
(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
(C)
U and X
(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
(A)
S
(B)
T
(C)
V
(D)
W _
(E)
X
5.
If the third issue consists exclusively of essays by S, T, and U, then the
second issue must have con-
(A)
R and V
(B)
R and X
(C)
S and W
(D)
V and W
(E)
V and X
Solution
1
2 3
First
Issue Second Issue Third Issue
Writer’s
Essay R S T U V W X
At
least one essay of one writer must be published
Rules
Rule
I, R → S
Rule
II, W = U – 1
Rule
III, W ≠ X
Rule
IV, No writer may publish two essays in same Issue or Two consecutive
Issue
Rule
V, Each issue must consist of at least two essays
New
Rule
As
Rule II & III, W = U – 1 and W ≠ X then X ≠ U – 1
Question
No 1
1st
Step Check Rule I A is wrong
2nd
Step Check Rule II B is wrong
3rd
Step Check Rule III C, E is wrong
So,
Choice D is correct.
Question
No 2
First
Issue Second Issue Third Issue
As
for question, R S
As
Rule IV, R & S cannot publish
In
the Second Issue
As
Rule II, W = U – 1, then W must
Publish
in Second Issue, then R S W U
As
Rule III, W ≠ X
Then
remaining R S W T U
Check
the choices, Choice B is correct.
Question
No 3
As
Rule II, W = U – 1, then U ≠ 1
So,
Choice B is the correct answer.
Question
No 4
First
Issue Second Issue Third Issue
As
for a question, S, T, X
Then
W must be published in Second
An
issue as Rule II, S, T, X W U
R ≠
Second Issue, because as Rule I,
R →
S and S cannot publish in
Second, the issues as Rule IV, then S, T, X W U, R, S
Check
the Choices,
Choice
A is correct.
Question
No 5
First
Issue Second Issue Third Issue
As
for a question, S, T, U
As
Rule II, W = U – 1, so W S, T, U
R ≠
Second Issue, because as Rule I,
R →
S and S cannot publish in
Second
Issue as Rule IV, then R, S W S, T, U
As
Rule III, W ≠ X, so X ≠ Second
Issue
Then
remaining as IV, R, S W, V S, T, U
Choice
D is correct.
