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:

Select the missing number from the given responses.

A) 35 B) 45
C) 25 D) 50
 
Answer & Explanation Answer: B) 45

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0 619
Q:

Ramesh, Kamal, Mohit, Amit and Rohit are standing in a row in the order of their heights. Ramesh is shorter than Kamal but taller than Rohit. Mohit is the tallest. Amit is a little shorter than Kamal but little taller than Ramesh. Who is the shortest?

A) Amit B) Mohit
C) Rohit D) Kamal
 
Answer & Explanation Answer: C) Rohit

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1 1995
Q:

Select the missing number in the given box?

A) 10 B) 12
C) 13 D) 14
 
Answer & Explanation Answer: D) 14

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3 638
Q:

Select the missing number from the given responses?

 

A) 36 B) 41
C) 55 D) 65
 
Answer & Explanation Answer: B) 41

Explanation:
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0 2052
Q:

Select the missing number from the given options?

A) 18 B) 17
C) 23 D) 22
 
Answer & Explanation Answer: B) 17

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0 600
Q:

Select the missing number from the given responses?

A) 3 B) 2
C) 63 D) 68
 
Answer & Explanation Answer: A) 3

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1 620
Q:

In the question, 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 in two matrices given below. 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 column, e.g., 'N' can be represented by 21,67, etc. , and 'R' can be represented by 66, 57,etc. Similarly, you have to identify the set for the word 'PUMP'.

A) 23, 57, 11, 88 B) 69, 11, 40, 99
C)  32, 02, 11, 87 D) 00, 99, 87, 32
 
Answer & Explanation Answer: B) 69, 11, 40, 99

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1 619
Q:

Select the missing number in the given options?

A) 45 B) 23
C) 20 D) 51
 
Answer & Explanation Answer: B) 23

Explanation:
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0 564