Easy and best way to understand arithmetic reasoning problems with examples

This section will help you to learn about the Verbal reasoning aptitude called ‘Arithmetic reasoning.’ In the view of competitive exams, Arithmetic reasoning is an important part of verbal reasoning.

Verbal reasoning based Arithmetic reasoning questions and answers are all frequently asked in competitive exams like TNPSC, UPSC, state PSC exams, entrance exams, bank exams, or any other exams.

Arithmetic reasoning based questions and answers are very easy to do and hence it helps in scoring good marks.

While writing any kind of competitive exams, time management is very important. So practice time management to answer questions properly.

What is Arithmetic reasoning?

Arithmetic reasoning is a mathematical based question and answer. To answer arithmetic reasoning questions, one must know mathematical formulas and equations.

The questions comes from various mathematical chapters which includes algebra, lcm and hcf, ages, ratio and proportion, sequences and pattern, percentages, games and tournaments, etc.,

Arithmetic reasoning deals with converting word problems into equations by using suitable formulas and finding the correct solution for it.

Arithmetic reasoning questions will be simply addition, subtraction, multiplication and division at times. But it comes as a word problem which confuses the candidates a bit while solving.

Tips and tricks to solve arithmetic reasoning

  1. The most important thing in arithmetic reasoning is understanding proper mathematical problems and equations. So spare time in learning maths.
  2. Before solving a problem, first understand the given word problem. Find under which topic the question is from.
  3. Solve each sum step by step before picking the right answer.
  4. Simplify the question as per your own knowledge. Use hint words to separate the topics one from another. Learn alternate words in maths. For example, the product of means multiplication.
  5. Eliminate wrong answers before picking the right solution.


A train starts from city y. The number of men in the train is half of the number of women. In city z, 10 women leave the train and five men enter. Now the number of men and women are equal. In the beginning, how many passengers entered the train?

  1. 25
  2. 45
  3. 35
  4. 15

The answer is option (d).


Let the number of men be x.

Then the number of women = 2x

In city z, we have, (2x-10) = (x+5) or (x-15).

Therefore, the total number of passengers in the beginning = (x+2x) = 3x = 45

Arithmetic reasoning is easy when you know mathematical equations. So practice online tests, make it a daily practice to score good marks.