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:

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 second to the right of Vinod?

 

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

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0 2388
Q:

Burman remembers that the cricket match is after 19th July but before 22nd July, while Sumit remembers that the cricket match is before 25th July but after 20th July. On which date of July is the cricket match?

 

A) 20   B) 21  
C) 22   D) 19
 
Answer & Explanation Answer: B) 21  

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1 347
Q:

In the following question, select the odd word from the given alternatives.

 

A) Sunday B) Thursday
C) Monday D) June
 
Answer & Explanation Answer: D) June

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1 1049
Q:

Present ages of R and P are in the ratio of 9 : 11 respectively. After 7 years, their ages will be in the ratio of 26 : 31 and sum of their ages will be 114 years. What is the present age (in years) of P?

 

A) 36 B) 35
C) 55 D) 45
 
Answer & Explanation Answer: C) 55

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1 404
Q:

In the following question, select the odd word from the given alternatives.

 

A) Area B) Cube
C) Volume D) Perimeter
 
Answer & Explanation Answer: B) Cube

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3 1599
Q:

Select the option that represents the number of triangles in the given figure.

 

A) 14 B) 15
C) 13 D) 17
 
Answer & Explanation Answer: B) 15

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1 2137
Q:

Consider the following information and answer questions based on it.

 

Six students Lily, Mary, July, Daisy, Rosy and Fairy are sitting in a circle facing each other such that -

1. Mary sits to the immediate right of July.

2. Lily does not sit near Fairy.

3. The student sitting on the immediate left of July, sits to the immediate right of Fairy.

4. Rosy does not sit to the immediate right of Mary.

 

___ sits to the immediate left of Lily.

A) Daisy B) Mary
C) Rosy D) July
 
Answer & Explanation Answer: B) Mary

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1 3706
Q:

Consider the following information and answer questions based on it.

 

Six students Lily, Mary, July, Daisy, Rosy and Fairy are sitting in a circle facing each other such that -

1. Mary sits to the immediate right of July.

2. Lily does not sit near Fairy.

3. The student sitting on the immediate left of July, sits to the immediate right of Fairy.

4. Rosy does not sit to the immediate right of Mary.

 

If July leaves the circle, then who will be sitting to the immediate right of Lily?

 

A) Fairy B) Rosy
C) Daisy D) Cannot be determined
 
Answer & Explanation Answer: D) Cannot be determined

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1 3740