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:

If the triangle ABC and DEF follows the given equation, then these two triangles are similar by which of the following criterion?

ABDE = BCEF =ACDF

 

A) SAS similarity B) SSS similarity
C) AAA similarity D) None of the these
 
Answer & Explanation Answer: B) SSS similarity

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1 680
Q:

The ratio of the present ages of Shreya and her husband is 8 : 9. 9 years from now, ages of her husband and her son will be in the ratio of 9 : 4. If the present age of Shreya is 56 years, then what will be her son’s present age (in years)?

A) 23 B) 24
C) 19 D) 25
 
Answer & Explanation Answer: A) 23

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1 848
Q:

Select the missing number from the given responses?

A) 24 B) 32
C) 20 D) 25
 
Answer & Explanation Answer: C) 20

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2 729
Q:

A is taller than B but smaller than E. C is the smallest of all. D is taller than A but smaller than E. Who is the tallest of the five?

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

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3 676
Q:

Select the missing number from the given responses?

A) Q B) R
C) S D) T
 
Answer & Explanation Answer: B) R

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1 795
Q:

Select the missing number from the given series?

A) 47 B) 49
C) 50 D) 57
 
Answer & Explanation Answer: B) 49

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0 616
Q:

Five planes, A, B, P, Q and R were saluting on Independence Day in such a way that R was second to the left of Q but to the immediate right of A. There was one plane between B and P. B was not at any of the ends. P and Q were neighbours. Who was at the left end?

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

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1 632
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., 'C' can be represented by 21, 43, etc. and 'U' can be represented by 75, 98 etc. You have to identify the set for the word 'ROAD'.

 

 

A) 40, 56, 68, 21, 31 B) 01, 67, 95, 11, 23
C) 22, 75, 86, 03, 24 D) 32, 98, 77, 43, 14
 
Answer & Explanation Answer: A) 40, 56, 68, 21, 31

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