# Arithmetical Reasoning Online Quiz

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Following quiz provides Multiple Choice Questions (MCQs) related to Arithmetical Reasoning. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Q 1 - Arrange 5 books in every possible combination and move one book in one minute? How much time it will take?

Options :

A - 90

B - 110

C - 125

D - 120

### Explanation

5 Ways = 5 × 4 × 3 × 2 × 1 = 120

Q 2 - A cyclist knows four different routes from A to B. From B to C he knows three different routes and from C to D he knows two different routes. How many routes does he know from A to D?

Options :

A - 0

B - 6

C - 1

D - 24

### Explanation

Total number of routes from A to D = (4 × 3 × 2) = 24.

Q 3 - In between two file ends in the rack are six paper weights. If you decide to arrange the six paper weights in every possible combination and moved just one paper weight every minute, how long would it take to you?

Options :

A - 12

B - 16

C - 15

D - 9

### Explanation

Clearly, we can get the answer by taking the factorial.

= 6! = 6 × 5 × 4 × 3 × 2 × 1 = 720.

So total time taken = 720 minutes = 12 hours.

Q 4 - In Apex tutorials, on the occasion of teacher’s day, the students have decided to distribute sweets among the teachers and their friends. They have decided to keep 2, 3 or 4 in a pack, then they left with one sweet. If they keep 5 in a pack, then left with none. What is the minimum number of sweets that the students have to pack and distribute?

Options :

A - 25

B - 36

C - 17

D - 30

### Explanation

Among the options 25 is the number which is when divided by 5 leaves no remainder, so, option A is correct.

Q 5 - For making a project, Rajiv took printouts of his soft copy from a printer and the printer numbers the pages of a book starting with 1 and uses 4089 digits in all. How many pages does the book have?

Options :

A - 1299

B - 1099

C - 1899

D - 2499

### Explanation

Number of digits in single numbered pages of the book = 9 × 1 = 9.

No. of digits in double numbered pages of the book = 2 × 90 = 180.

No. of digits in triple numbered pages of the book = 3 × 900 = 2700.

No. of digits in quadruple numbered pages of the book = 4089 - (9 + 180 + 2700) = 4089 - 2889 = 1200.

Therefore number of pages with 4-digit page numbers = (1200/4) = 300.

Hence, total number of pages = (999 + 300) = 1299.

Q 6 - A canteen requires 17 dozen eggs per day. How many eggs will it require for 13 weeks?

Options :

A - 12652

B - 16547

C - 18564

D - 31824

E - None of these

### Explanation

Daily requirement = 17 × 12 (one dozen = 12 units)

Required in one week = 17 × 12 × 7

Required in 13 weeks = 17 × 12 × 7 × 13 = 18564

Q 7 - There is a business conference in the HFl financial services. This meeting is normally held once in two months and 10 board members of the institution attend the meeting. At the closing of an important business conference, ten people those were present in the meeting shake hands with each other once. How many handshakes will there be altogether?

Options :

A - 20

B - 30

C - 40

D - 45

### Explanation

Clearly, total number of handshakes = (9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1) = 45.

Q 8 - Sri Uday Corporation is a woman centric corporation which adopts those women and girls who are helpless. If 5 women or 8 girls of that corp. can do a work in 84 days. In how many days can 10 women and 5 girls can do the same work?

Options :

A - 28

B - 35

C - 32

D - 14

### Explanation

5 women or 8 girls can do the work in 84 days.

1 woman can do the work in 5 × 84 = 420 days.

1 woman’s 1 day work = 1/420

1 girl can do the work in 8 × 84 = 672 days.

1 girl’s 1 day work = 1/672

Work done in one day by 10 woman and 5 girls would be

$10*\frac{1}{420}+5*\frac{1}{672} \: = \: \frac{1}{32}$

The total amount of time taken would be the reciprocal of the total work done = 32 days.

Q 9 - Shikhar and his friend Shashank’s age 5 years ago was 42 years. 6 years hence what will be their age?

Options :

A - 60

B - 62

C - 64

D - 66

### Explanation

5 years + 6 years total 11 years. 11 × 2 = 22 years. So, 42 + 22 = 64.

Q 10 - Hari is twice the age of Shyam. Five years ago Shyam’s age was 12. What is Hari’s age now?

Options :

A - 30

B - 32

C - 34

D - 35

### Explanation

Shyam’s age now is 12 + 5 = 17. Hari’s age will be 17 × 2 = 34.

reasoning_arithmetical.htm
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