21
Q:

Two old friends, Jack and Bill, meet after a long time.

 

Jack: Hey, how are you man?
Bill: Not bad, got married and I have three kids now

 

Jack: That’s awesome. How old are they?
Bill: The product of their ages is 72 and the sum of their ages is the same as your birth date.

 

Jack: Cool … But I still don’t know.
Bill : My eldest kid just started taking piano lessons.

 

Jack: Oh now I get it.
How old are Bill’s kids ?

A) 3, 3, 8 B) 2, 6, 6
C) 1, 6, 12 D) 1, 8, 9

Answer:   A) 3, 3, 8



Explanation:

Let’s break it down. The product of their ages is 72. So what are the possible choices?

 

2, 2, 18 – sum(2, 2, 18) = 22
2, 4, 9 – sum(2, 4, 9) = 15
2, 6, 6 – sum(2, 6, 6) = 14
2, 3, 12 – sum(2, 3, 12) = 17
3, 4, 6 – sum(3, 4, 6) = 13
3, 3, 8 – sum(3, 3, 8 ) = 14
1, 8, 9 – sum(1,8,9) = 18
1, 3, 24 – sum(1, 3, 24) = 28
1, 4, 18 – sum(1, 4, 18) = 23
1, 2, 36 – sum(1, 2, 36) = 39
1, 6, 12 – sum(1, 6, 12) = 19

 

The sum of their ages is the same as your birth date. That could be anything from 1 to 31 but the fact that Jack was unable to find out the ages, it means there are two or more combinations with the same sum. From the choices above, only two of them are possible now.

 

2, 6, 6 – sum(2, 6, 6) = 14
3, 3, 8 – sum(3, 3, 8 ) = 14

 

Since the eldest kid is taking piano lessons, we can eliminate combination 1 since there are two eldest ones. The answer is 3, 3 and 8.

Subject: Arithmetical Reasoning
Exam Prep: CAT , Bank Exams
Job Role: Bank PO , Bank Clerk
Q:

Insert the missing character depicted by '?'

 

A) 36 B) 48
C) 38 D) 30
 
Answer & Explanation Answer: C) 38

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0 2207
Q:

Weight of L is one-fourth of the weight of V. Weight of V is twice of the weight of B. Weight of B is half of the weight of C. Weight of C is thrice of the weight of H. The weight of V is greater than the weight of how many persons among L, B, H and C?

 

 

A) 3   B) 2
C) 1 D) 0
 
Answer & Explanation Answer: C) 1

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0 220
Q:

Insert the missing character depicted by '?'

 

 

 

A) 41 B) 64
C) 35 D) 61
 
Answer & Explanation Answer: B) 64

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0 916
Q:

Insert the missing character depicted by '?'

 

 

A) 2 B) 3
C) 4 D) 5
 
Answer & Explanation Answer: B) 3

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0 1530
Q:

A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its columns, for example 'c' can be represented by 20, 32 etc. and 'S' can be represented by 58, 98,etc.

 

Similarly, you have to identify the set for the word 'BANE'.

 

 

 

A) 20,67,21,78   B) 24,66,34,79  
C) 24,31,96,14   D) 23,78,11,99
 
Answer & Explanation Answer: C) 24,31,96,14  

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0 304
Q:

Six boys are sitting in a row facing south. Gaurav is second to the right of Akash who is at one of the end. Prem is at fourth position to the left of Raman. Jatin and Nitin sit together. How many boys are sitting to the left of Nitin?

 

A) 4 B) 2
C) 3 D) Cannot be determined
 
Answer & Explanation Answer: D) Cannot be determined

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0 321
Q:

Choose the correct figure that replaces the question mark.

 

 

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

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1 1423
Q:

Select the most appropriate term for the given set of items.

 

 

A) Rain B) Snow
C) Seasons D) Heat
 
Answer & Explanation Answer: C) Seasons

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1 1815