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:

Directions to solve :

 

Five boys are sitting on a bench to be photographed. Sachin is to the left of Ram and to the right of Bin. Monty is to the right of Ram. Rony is between Ram and Monty.

 

Who is second from the left in the photograph?

A) Rony B) Monty
C) Bin D) Sachin
 
Answer & Explanation Answer: D) Sachin

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Q:

Directions to solve :

 

Five boys are sitting on a bench to be photographed. Sachin is to the left of Ram and to the right of Bin. Monty is to the right of Ram. Rony is between Ram and Monty.

 

Who is second from the right in the photograph?

A) Monty B) Ram
C) Rony D) Bin
 
Answer & Explanation Answer: C) Rony

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Q:

Directions to solve :

 

Five boys are sitting on a bench to be photographed. Sachin is to the left of Ram and to the right of Bin. Monty is to the right of Ram. Rony is between Ram and Monty.

 

Who is in the middle of the photograph?

 

A) Bin B) Ram
C) Rony D) Sachin
 
Answer & Explanation Answer: B) Ram

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Q:

A word is represented by only one set 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 column, for example 'F' can be represented by 14, 31 etc and 'U' can be represented by 86, 97 etc. Similarly, you have to identify the set for the word 'SACK'.

 

 

A) 97,12,21,42   B) 42,67,10,55  
C) 30,55,42,68   D) 12,77,21,68
 
Answer & Explanation Answer: A) 97,12,21,42  

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0 424
Q:

Raman remembers that his marriage is before 20th July and after 13th July. His mother remembers that Raman’s marriage is after 16th July. His father remembers that Raman’s marriage is before 19th July. On which date of July is Raman’s marriage?

 

A) 15 or 16 B) 17 or 18
C) 15 or 16 or 17 D) 14 or 15 or 16
 
Answer & Explanation Answer: B) 17 or 18

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Q:

In the given diagram, the triangle represents the set of people who posses a car, the square represents the set of people who possess a house, and the circle represents the set of people who possess gold.

 

 

What is the total number of people who possess a house and gold but do not have a car?

A) V B) V+VI
C) V+III D) V+VII
 
Answer & Explanation Answer: A) V

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Q:

Assuming that the numbers in each of the following figures follow a similar pattern, select the option that can replace the question mark in figure C.

 

A) 14 B) 10
C) 6 D) 8
 
Answer & Explanation Answer: B) 10

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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 column, for example 'H' can be represented by 13, 21 etc and 'T' can be represented by 57, 79 etc. Similarly, you have to identify the set for the word 'GLOW'.

 

 

 

A) 12, 88, 41, 85 B) 41, 76, 31, 79
C) 30, 14, 75, 76 D) 32, 85, 33, 57
 
Answer & Explanation Answer: C) 30, 14, 75, 76

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