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:

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 'B' can be represented by 23, 42 etc and 'N' can be represented by 95, 96 etc. Similarly, you have to identify the set for the word 'SALT'.

 

 

A) 34,58,12,89 B) 20,97,41,89
C) 99,30,24,87 D) 33,88,31,8
 
Answer & Explanation Answer: C) 99,30,24,87

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5 364
Q:

In a row of girls, Shweta is 11th from the right end. Mansi is 14th to the left of Shweta. If Mansi is 12th from the left end, then how many girls are there in the row?

A) 40 B) 38
C) 37 D) 36
 
Answer & Explanation Answer: D) 36

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0 533
Q:

Five people P, Q, R, S and T visit an office on certain days of a week. They work as a plumber, carpenter, cook, electrician and doctor in random order. A person pursues only one profession and visits the office only one day in the week. Consider the following information and answer questions based on it.

 

1. The plumber visits office every Monday.
2. P is an electrician who comes neither on Tuesday nor Thursday.
3. T is a carpenter and R is not plumber
4. The person who visits the office on Thursday is not a doctor.
5. S works on a Tuesday and T works on the following day.

 

Who is the plumber?

 

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

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1 432
Q:

Five people P, Q, R, S and T visit an office on certain days of a week. They work as a plumber, carpenter, cook, electrician and doctor in random order. A person pursues only one profession and visits the office only one day in the week. Consider the following information and answer questions based on it.

 

1. The plumber visits office every Monday.
2. P is an electrician who comes neither on Tuesday nor Thursday.
3. T is a carpenter and R is not plumber
4. The person who visits the office on Thursday is not a doctor.
5. S works on a Tuesday and T works on the following day.

 

The doctor visits the office on

A) Fridays B) Wednesdays
C) Thursdays D) Tuesdays
 
Answer & Explanation Answer: D) Tuesdays

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0 413
Q:

Five people P, Q, R, S and T visit an office on certain days of a week. They work as a plumber, carpenter, cook, electrician and doctor in random order. A person pursues only one profession and visits the office only one day in the week. Consider the following information and answer questions based on it.

 

1. The plumber visits office every Monday.
2. P is an electrician who comes neither on Tuesday nor Thursday.
3. T is a carpenter and R is not plumber
4. The person who visits the office on Thursday is not a doctor.
5. S works on a Tuesday and T works on the following day.

 

Which is the right combination?

 

A) Monday - Electrician B) Thursday - Cook
C) Tuesday - Carpenter D) Friday - Doctor
 
Answer & Explanation Answer: B) Thursday - Cook

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2 445
Q:

RB75E%M3W48Q9#B2A$MS

 

In the above sequence which term is third to the right of the twelfth term from the left end?

A) # B) B
C) A D) 2
 
Answer & Explanation Answer: B) B

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1 5212
Q:

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

 

A) 17 B) 12
C) 15 D) 16
 
Answer & Explanation Answer: D) 16

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4 2312
Q:

The number of letters that are preceded by a symbol but not followed by a number in the given expression is ___.

 

SM@A#N2B4O&3C5P+D2

A) 1 B) 3
C) 2 D) 4
 
Answer & Explanation Answer: C) 2

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