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
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Q:

The following equation is incorrect. Which two signs should be interchanged to correct the equation?

 

14 + 16 ÷ 40 x 8 - 48 = 46

 

A) ÷ and x B) x and -
C) ÷ and - D) - and +
 
Answer & Explanation Answer: A) ÷ and x

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Q:

Lokesh is taller than Gagan but not shorter than Abhishek. Abhishek and Suresh are of same height. Lokesh is shorter than Lalit. Amongst the boys, who is the tallest?

 

A) Gagan B) Lalit
C) Lokesh D) Suresh
 
Answer & Explanation Answer: B) Lalit

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2 686
Q:

 In a row, Mohini is at 23rd position from left and 37th position from right. How many girls are there in the row?

 

A) 60 B) 61
C) 59 D) 58
 
Answer & Explanation Answer: C) 59

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2 776
Q:

In a row of boys, Rahul is 33rd from the left end. Rajat is 17 ranks to the right of Rahul. If Rajat is 35th from right end, then what will be the rank of Rahul from the right end?

 

A) 49 B) 50
C) 51 D) 52
 
Answer & Explanation Answer: D) 52

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0 646
Q:

Suraj is shorter than Gopal but taller than Tarun. Rajan is the tallest and Shivam is shorter than Suraj but not the shortest. Who is the third shortest?

 

A) Gopal B) Suraj
C) Rajan D) Shivam
 
Answer & Explanation Answer: B) Suraj

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1 717
Q:

The following equation is incorrect. Which two signs should be interchanged to correct the equation?

 

24 ÷ 8 x 25 + 8 - 3 = 2

 

A) ÷ and - B) x and -
C) + and ÷ D) - and +
 
Answer & Explanation Answer: B) x and -

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1 3334
Q:

In a certain code language, '-' represents '+', '+' represents 'x', 'x' represents '÷' and '÷' represents '-'. Find out the answer to the following question.

 

3 - 10 + 40 x 80 ÷ 6 = ?

 

A) 20 B) 34
C) 2 D) 46
 
Answer & Explanation Answer: C) 2

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1 616
Q:

Six persons P, A, V, K, J and C are sitting in a row facing north. C is to the immediate left of V who is third to the right of P. J is to the immediate left of K and is at one of the end. Who is to the immediate left of A?

A) C B) P
C) K D) J
 
Answer & Explanation Answer: B) P

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