# Arithmetical Reasoning Question & Answers

## Arithmetic Reasoning

Arithmetic reasoning questions are frequently asked in verbal reasoning and mental ability section of competitive exams and entrance exams. Questions about Arithmetic reasoning are word problems; basically it is a description of real life situation that is mathematically solved. You need to understand the description in detail and convert the statements to mathematical equations to solve the answer.

Arithmetic reasoning questions are asked in placement tests and other exams to test the candidate's problem solving skills. You should have basic mathematical knowledge of some general topics as Simple Interest, Compound Interest, Ratio and proportion, Percentages, Percent change, Age, Numbers, Relationships and more. Read and answer a number sample questions. We have a good collection of sample questions on "Arithmetic reasoning" that are frequently asked in previous competitive and entrance exams for your practice.

Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?

 A) Rs. 4, Rs. 23 B) Rs. 13, Rs. 17 C) Rs. 15, Rs. 14 D) Rs. 17, Rs. 13

Answer & Explanation Answer: B) Rs. 13, Rs. 17

Explanation:

Let Rs. x be the fare of city B from city A and Rs. y be the fare of city C from city A.

Then, 2x + 3y = 77 ...(i) and

3x + 2y = 73 ...(ii)

Multiplying (i) by 3 and (ii) by 2 and subtracting, we get: 5y = 85 or y = 17.

Putting y = 17 in (i), we get: x = 13.

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Subject: Arithmetical Reasoning - Verbal Reasoning - Mental Ability

176

A tailor had a number of shirt pieces to cut from a roll of fabric. He cut each roll of equal length into 10 pieces. He cut at the rate of 45 cuts a minute. How many rolls would be cut in 24 minutes ?

 A) 32 rolls B) 54 rolls C) 108 rolls D) 120 rolls

Answer & Explanation Answer: D) 120 rolls

Explanation:

Number of cuts made to cut a roll into 10 pieces = 9.

Therefore, Required number of rolls = (45 x 24)/9 = 120.

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Subject: Arithmetical Reasoning - Verbal Reasoning - Mental Ability

97

Today is Varun's birthday. One year, from today he will be twice as old as he was 12 years ago. How old is Varun today ?

 A) 20 years B) 22 years C) 25 years D) 27 years

Answer & Explanation Answer: C) 25 years

Explanation:

Let Varun's age today = x years.

Then, Varun's age after 1 year = (x + 1) years.

Therefore x + 1 = 2 (x - 12) $\inline \Rightarrow$ x + 1 = 2x - 24 $\inline \Rightarrow$ x = 25.

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Subject: Arithmetical Reasoning - Verbal Reasoning - Mental Ability

99

In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?

 A) 18 B) 36 C) 45 D) None of these

Answer & Explanation Answer: D) None of these

Explanation:

Let R, G and B represent the number of balls in red, green and blue boxes respectively.

Then,

R + G + B = 108 ...(i),

G + R = 2B ...(ii)

B = 2R ...(iii)

From (ii) and (iii), we have G + R = 2x 2R = 4R or G = 3R.

Putting G = 3R and B = 2R in (i), we get:

R + 3R + 2R = 108 ${\color{Blue}&space;\Rightarrow&space;}$ 6R = 108 ${\color{Blue}&space;\Rightarrow&space;}$ R = 18.

Therefore Number of balls in green box = G = 3R = (3 x 18) = 54.

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Subject: Arithmetical Reasoning - Verbal Reasoning - Mental Ability

40

Ayush was born two years after his father's marriage. His mother is five years younger than his father but 20 years older than Ayush who is 10 years old. At what age did the father get married ?

 A) 23 years B) 25 years C) 33 years D) 35 years

Answer & Explanation Answer: A) 23 years

Explanation:

Ayush's present age = 10 years.

His mother's present age = (10 + 20) years = 30 years.

Ayush's father's present age = (30 + 5) years = 35 years.

Ayush's father's age at the time of Ayush's birth = (35 - 10) years = 25 years.

Therefore Ayush's father's age at the time of marriage = (25 - 2) years = 23 years.

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Subject: Arithmetical Reasoning - Verbal Reasoning - Mental Ability

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