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:

Consider the following information and answer questions based on it.

 

Six cars S, T, V, W, X and Y are parked in a parking lot, in a random order, from left to right, such that -

 

A. T is parked on the extreme right.

B. V is parked to the immediate right of Y and is one car away from W.

C. X is to the immediate left of T and is three cars away from S.

 

W is to the immediate right of

A) S B) Y
C) V  D) Cannot be determined
 
Answer & Explanation Answer: A) S

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Q:

Consider the following information and answer questions based on it.

 

Six cars S, T, V, W, X and Y are parked in a parking lot, in a random order, from left to right, such that -

 

A. T is parked on the extreme right.

B. V is parked to the immediate right of Y and is one car away from W.

C. X is to the immediate left of T and is three cars away from S.

 

Which of the following statement is true?

 

A) There are two cars between T and V. B) There is one car between X and Y.
C) There are three cars between Y and S. D) There is no car between X and W.
 
Answer & Explanation Answer: B) There is one car between X and Y.

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0 3639
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) 241 B) 210
C) 321 D) 184
 
Answer & Explanation Answer: D) 184

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0 435
Q:

Use each of the following figures only once and form three groups. The three groups so formed are

 

 

A) (1,3,5), (2,6,8), (4,7,9) B) (1,3,5), (2,7,8), (4,6,9)
C) (1,3,9), (2,6,8), (4,7,5) D) (1,3,5), (2,6,9), (4,7,8)
 
Answer & Explanation Answer: A) (1,3,5), (2,6,8), (4,7,9)

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0 2044
Q:

Present age of Ashok is twice the present age of Kishan. After 7 years the Kishan’s age will be 4 times of the Kartik’s present age. If Kartik celebrated his 9th birthday 3 years ago, then what will be the present age (in years) of Ashok?

 

A) 82   B) 78  
C) 72   D) 84
 
Answer & Explanation Answer: A) 82  

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1 425
Q:

How many such letters are there in the below arrangement, each of which is immediately preceded by a number and NOT immediately followed by a letter?

 

Q@A3RI4*6T4&4O2^$WS

 

 

 

A) Two B) One
C) Three D) Four
 
Answer & Explanation Answer: A) Two

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1 436
Q:

Read the following passage and answer the questions based on it.

 

1) Vinay, Vinay, Vikas, Vasu, Vaibhav, Varun and Vishal are sitting around a circle facing at the center.

2) Vasu is the third to the right of Vikas.

3) Varun is second to the left of Vinay and second to the right of Vishal.

4) Vaibhav is third to the right of Vinod and is not an immediate neighbor of Varun.

 

Who is to the immediate right of Vikas?

 

A) Vinay B) Vishal
C) Vaibhav D) Varun
 
Answer & Explanation Answer: C) Vaibhav

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0 2701
Q:

Read the following passage and answer the questions based on it.

 

1) Vinay, Vinay, Vikas, Vasu, Vaibhav, Varun and Vishal are sitting around a circle facing at the center.

2) Vasu is the third to the right of Vikas.

3) Varun is second to the left of Vinay and second to the right of Vishal.

4) Vaibhav is third to the right of Vinod and is not an immediate neighbor of Varun.

 

Who is third to the left of Varun?

A) Vaibhav B) Vasu
C) Vishal D) Vikas
 
Answer & Explanation Answer: A) Vaibhav

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