Aptitude and Reasoning Questions

Q:

If Riya's age is four times the age of Siya and if Riya's age is 24 yrs , find the age difference between Riya and Siya ? 

A) 2 yrs B) 12 yrs
C) 18 yrs D) 6 yrs
 
Answer & Explanation Answer: C) 18 yrs

Explanation:

Let Siya's age = x

Then Riya's age = 4x

But given Riya's age = 24

=> 4x = 24 => x = 6

Hence Siya's age = 6 yrs

=> The age difference = 24 - 6 = 18 yrs.

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Filed Under: Problems on Ages
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

9 9242
Q:

The number of permutations of the letters of the word 'MESMERISE' is  ?

A) 9!/(2!)^{2}x3! B) 9! x 2! x 3!
C) 0 D) None
 
Answer & Explanation Answer: A) 9!/(2!)^{2}x3!

Explanation:

n items of which p are alike of one kind, q alike of the other, r alike of another kind and the remaining are distinct can be arranged in a row in n!/p!q!r! ways.
The letter pattern 'MESMERISE' consists of 10 letters of which there are 2M's, 3E's, 2S's and 1I and 1R.
Number of arrangements = 9!(2!)2×3!

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Filed Under: Permutations and Combinations
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

3 9242
Q:

According to the given Venn diagram, the number of boys who are neither athletes nor disciplined is ___.

 

 

 

A) 1 B) 10
C) 7 D) 11
 
Answer & Explanation Answer: B) 10

Explanation:
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Filed Under: Logical Venn Diagram
Exam Prep: Bank Exams

2 9237
Q:

In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?

A) 120960 B) 120000
C) 146700 D) None of these
 
Answer & Explanation Answer: A) 120960

Explanation:

In the word 'MATHEMATICS', we treat the vowels AEAI as one letter.

 

Thus, we have MTHMTCS (AEAI).

 

Now, we have to arrange 8 letters, out of which M occurs twice, T occurs twice and the rest are different.

 

Number of ways of arranging these letters = 8!/(2! x 2!)= 10080.

 

Now, AEAI has 4 letters in which A occurs 2 times and the rest are different.

 

Number of ways of arranging these letters =4!/2!= 12.

 

Required number of words = (10080 x 12) = 120960

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3 9236
Q:

Study the diagram given below and answer the questions based on it.

 

 represents Persons who like Reading

 represents Persons who like Cycling 

  represents Persons who like Trekking

 


How many persons like Trekking and Reading but not Cycling?

A) 12 B) 31
C) 44 D) 28
 
Answer & Explanation Answer: D) 28

Explanation:
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Filed Under: Logical Venn Diagram
Exam Prep: Bank Exams

0 9234
Q:

If you have 6 New Year greeting cards and you want to send them to 4 of your friends, in how many ways can this be done?

A) 720 B) 360
C) 240 D) 740
 
Answer & Explanation Answer: B) 360

Explanation:

We have to find number of permutations of 4 objects out of 6 objects.

 

This number is 6P4= 360

 

Therefore, cards can be sent in 360 ways.

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8 9215
Q:

Directions : For the Assertion (A) and Reason (R) below, choose the correct alternative

Assertion (A) : An atom is neutral despite the charged particles in it. 

Reason (R) : The neutrons do not have any charge. 

A) Both A and R are true and R is the correct explanation of A. B) Both A and R are true but R is NOT the correct explanation of A.
C) A is true but R is false. D) A is false but R is true.
 
Answer & Explanation Answer: B) Both A and R are true but R is NOT the correct explanation of A.

Explanation:

An atom contains the positively charged protons and an equal number of negatively charged electrons So, it is neutral

 

 

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Filed Under: Assertion and Reason

1 9212
Q:

In each of the following questions a letter-series is given, in which some letters are missing. The missing letters are given in the proper sequence as one of the alternatives. Choose the correct alternatives. _ op _ mo _ n _ _ pnmop _

A) mnpmon B) mpnmop
C) mnompn D) mnomon
 
Answer & Explanation Answer: A) mnpmon

Explanation:

The pattern 'mopn' is repeated.

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Filed Under: Number Series

6 9210