Aptitude and Reasoning Questions

Q:

From a total of six men and four ladies a committee of three is to be formed. If Mrs. X is not willing to join the committee in which Mr. Y is a member, whereas Mr.Y is willing to join the committee only if Mrs Z is included, how many such committee are possible?

A) 91 B) 104
C) 109 D) 98
 
Answer & Explanation Answer: A) 91

Explanation:

We first count the number of committee in which

(i). Mr. Y is a member
(ii). the ones in which he is not

Case (i): As Mr. Y agrees to be in committee only where Mrs. Z is a member.
Now we are left with (6-1) men and (4-2) ladies (Mrs. X is not willing to join).

We can choose 1 more in5+2C1=7 ways.

Case (ii): If Mr. Y is not a member then we left with (6+4-1) people.
we can select 3 from 9 in 9C3=84 ways.

Thus, total number of ways is 7+84= 91 ways.

Report Error

View Answer Report Error Discuss

10 11455
Q:

5% of a number is 25% more than another number. The difference between the numbers is 96. Then find the value of the numbers?

A) 102 & 6 B) 99 & 3
C) 104 & 8 D) 100 & 4
 
Answer & Explanation Answer: D) 100 & 4

Explanation:

Let the first number be x and the second number be y.

Given

5% of x = (25% of y) + y

=> 5x/100 = 5y/4

=> x = 25y ......(1)

and also given that, x - y = 96

=> x = 96 + y .....(2)

From (1)&(2)

25y = 96 + y

=> 24y = 96

=> y = 4

From (1)

x = 96 + 4 = 100

Hence, the numbers are 100 & 4.

Report Error

View Answer Report Error Discuss

Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

15 11443
Q:

The following question consist of two words each that have a certain relationship to each other, followed by lettered pairs of words . Select the lettered pair that has the same relationship as the original pair of words. 

Proscenium : Stage

A) Lamp : Table B) Lines : Bed
C) Portico : House D) Compass : Needle
 
Answer & Explanation Answer: C) Portico : House

Explanation:

First is a part of the second.

Report Error

View Answer Report Error Discuss

Filed Under: Analogy

44 11437
Q:

Identify the diagram that best represents the relationship among the given classes.

Engine, Car, Battery

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: C) 3

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Logical Venn Diagram
Exam Prep: Bank Exams

4 11430
Q:

How many 3 letters words can be formed using the letters of the words hexagon?

A) 120 B) 210
C) 160 D) 200
 
Answer & Explanation Answer: B) 210

Explanation:

Since the word hexagon contains 7 different letters,the number of permutations is 7P3 = 7 x 6 x 5 =210

Report Error

View Answer Report Error Discuss

4 11426
Q:

Should religion be baned 

Arguments:

1. Yes. It develops fanaticism in people

2. No. Religion binds people together

A) Only 1 is true B) Only 2 is true
C) Either 1 or 2 is true D) Neither 1 nor 2 is true
 
Answer & Explanation Answer: C) Either 1 or 2 is true

Explanation:

Religion binds the people together with the name of god.But at the same time it may create differences and ill-will amon people

Report Error

View Answer Report Error Discuss

0 11424
Q:

Identify the diagram that best represents the relationship among the given classes.

College, University, Students

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: D) 4

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Logical Venn Diagram
Exam Prep: Bank Exams

8 11419
Q:

In how many ways can the letters of the word ABACUS be rearranged such that the vowels always appear together?

A) 4!/2! B) 3!/2!
C) (4! x 3!) / 2! D) 36
 
Answer & Explanation Answer: C) (4! x 3!) / 2!

Explanation:

ABACUS is a 6 letter word with 3 of the letters being vowels.

 

If the 3 vowels have to appear together, then there will 3 other consonants and a set of 3 vowels together.

 

These 4 elements can be rearranged in 4! Ways.

 

The 3 vowels can rearrange amongst themselves in 3!/2! ways as "a" appears twice.

 

Hence, the total number of rearrangements in which the vowels appear together are (4! x 3!)/2!

Report Error

View Answer Report Error Discuss

3 11405