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:

E, F, G, H and K visit a hospital on week days. Each one of them is a physician, surgeon, dentist, cardiologist, nephrologist but in the random order. Each visits the hospital only one day in the week and attends to their profession only.

 

Consider the following information and answer questions based on it.

 

1. The physician visits office every Monday.
2. E is the cardiologist who comes neither on Tuesday nor Thursday.
3. K is a surgeon and G is not the physician.
4. The person who visits the office on Thursday is not a nephrologist.
5. H works on a Tuesday and K works on the following day.

 

The cardiologist visits the office on

A) Tuesday B) Wednesday
C) Thursday D) Friday
 
Answer & Explanation Answer: D) Friday

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Q:

E, F, G, H and K visit a hospital on week days. Each one of them is a physician, surgeon, dentist, cardiologist, nephrologist but in the random order. Each visits the hospital only one day in the week and attends to their profession only.

 

Consider the following information and answer questions based on it.

 

1. The physician visits office every Monday.
2. E is the cardiologist who comes neither on Tuesday nor Thursday.
3. K is a surgeon and G is not the physician.
4. The person who visits the office on Thursday is not a nephrologist.
5. H works on a Tuesday and K works on the following day.

 

Who is the physician?

A) E B) F
C) G D) H
 
Answer & Explanation Answer: B) F

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0 284
Q:

E, F, G, H and K visit a hospital on week days. Each one of them is a physician, surgeon, dentist, cardiologist, nephrologist but in the random order. Each visits the hospital only one day in the week and attends to their profession only.

 

Consider the following information and answer questions based on it.

 

1. The physician visits office every Monday.
2. E is the cardiologist who comes neither on Tuesday nor Thursday.
3. K is a surgeon and G is not the physician.
4. The person who visits the office on Thursday is not a nephrologist.
5. H works on a Tuesday and K works on the following day.

 

Who is the nephrologist?

A) E B) F
C) G D) H
 
Answer & Explanation Answer: D) H

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0 241
Q:

Consider the following information and answer the questions based on it.

 

Out of 60 people in a colony, 10 speak only Bengali, 5 speak only Assamese, 10 speak both Hindi and Odia, 12 speak both Marathi and Hindi, 13 speak English, Tamil and Marathi, 5 speak both Assamese and Hindi and the remaining speak both Bengali and Hindi.

 

The ratio of people who speak Bengali to those who speak Marathi is

A) 15/32 B) 1/2
C) 3/4 D) 3/5
 
Answer & Explanation Answer: D) 3/5

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0 4659
Q:

Consider the following information and answer the questions based on it.

 

Out of 60 people in a colony, 10 speak only Bengali, 5 speak only Assamese, 10 speak both Hindi and Odia, 12 speak both Marathi and Hindi, 13 speak English, Tamil and Marathi, 5 speak both Assamese and Hindi and the remaining speak both Bengali and Hindi.

 

How many people speak more than one language?

A) 15 B) 45
C) 50 D) 55
 
Answer & Explanation Answer: B) 45

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0 4938
Q:

Consider the following information and answer the questions based on it.

 

Out of 60 people in a colony, 10 speak only Bengali, 5 speak only Assamese, 10 speak both Hindi and Odia, 12 speak both Marathi and Hindi, 13 speak English, Tamil and Marathi, 5 speak both Assamese and Hindi and the remaining speak both Bengali and Hindi.

 

In all, how many people speak Hindi?

 

A) 22 B) 27
C) 32 D) 45
 
Answer & Explanation Answer: C) 32

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0 5061
Q:

Saurav, Mohit, Mukesh, Sumit and Bhim are arranged in descending order of their height from top to bottom. Saurav is at third place. Bhim is between Sumit and Saurav while Sumit is not at the top end. Who is at second place from the top?

 

A) Mohit B) Mukesh
C) Bhim D) Cannot be determined
 
Answer & Explanation Answer: D) Cannot be determined

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0 263
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 car is parked to the immediate left of X?

A) V B) Y
C) W D) T
 
Answer & Explanation Answer: A) V

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