22
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
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There are 150 residents in a society. Out of them, 50 residents own a motorcycle, 60 residents own a car and 20 residents own both a car and a motorcycle. How many residents neither own a motorcycle nor a car?

A) 20 B) 30
C) 60 D) 10
 
Answer & Explanation Answer: C) 60

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3 582
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Select the missing number from the given options?

A) 10 B) 91
C) 17 D) 81
 
Answer & Explanation Answer: A) 10

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Rajan and Manu went to a market. Rajan bought 3 erasers and 5 pens for Rs 105 and Manu bought 4 erasers and 6 pens for Rs 130. What is the price of one eraser?

A) Rs 25 B) Rs 20
C) Rs 10 D) Rs 19
 
Answer & Explanation Answer: C) Rs 10

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Q:

A has more money than E but less of that than B. C has more money than D but less of that than E. Who among them is the richest?

A) B B) C
C) D D) A
 
Answer & Explanation Answer: B) C

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0 844
Q:

Select the missing number from the given responses?

 

A) 2197 B) 729
C) 709 D) 1000
 
Answer & Explanation Answer: A) 2197

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0 2072
Q:

A) 55, 58, 10, 13 B) 67, 30, 14, 22
C) 87, 85, 23, 41 D) 98, 77, 42, 43
 
Answer & Explanation Answer: A) 55, 58, 10, 13

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0 529
Q:

Select the missing number?

A) 410 B) 402
C) 526 D) 625
 
Answer & Explanation Answer: A) 410

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1 584
Q:

Farhan scored more runs than Raju. Simran scored more runs than Nitu but lesser runs than Raju. Who scored the highest runs?

A) Nitu B) Farhan
C) Simran D) Raju
 
Answer & Explanation Answer: B) Farhan

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