Arithmetic Reasoning: Practice Arithmetic Reasoning Questions

By BYJU'S Exam Prep

Updated on: September 25th, 2023

Arithmetic Reasoning assesses a candidate’s mathematical knowledge. Arithmetic Reasoning questions are typically numerical, hence they often include computation components. Candidates who dislike mathematics will struggle with this reasoning section, but with a clear concept and practice, they can easily ace it. Puzzle, Analogy, Series, Venn Diagram, Cube and Dice, Inequality, and other topics fall under Arithmetic Reasoning.

Go through this article for complete insight on the Arithmetic Reasoning syllabus, Arithmetic Reasoning questions and answers, Arithmetic Reasoning formulas, books for Arithmetic Reasoning and much more for SSC exams 2023.

Arithmetic Reasoning

The capacity to understand and solve mathematical issues utilizing basic arithmetic operations such as addition, subtraction, multiplication, and division is known as Arithmetic Reasoning. This talent entails calculating and analyzing numerical relationships using logic, critical thinking, and problem-solving approaches. Arithmetic thinking entails not only performing calculations but also comprehending underlying concepts, recognizing patterns, and making informed decisions based on numerical data.

Arithmetic Reasoning for SSC

Arithmetical Reasoning entails solving a number or word problem using fundamental arithmetic. These questions cover a wide range of concepts that must be solved using basic mathematics, such as ages and weights, number systems, ratios and proportions, profit, loss, and discounts, HCF, LCM, SI & CI, time & distance, sequences & patterns, probability, square roots, etc. 

Arithmetical Reasoning questions are asked in almost every SSC exam – be it SSC CGL, SSC CHSL, SSC JE, Delhi Police, or any other related competition in the government sector in India.

Arithmetic Reasoning Syllabus

SSC syllabus for Arithmetic Reasoning is vast. The below table entails the Arithmetic Reasoning syllabus in detail:

Arithmetic Reasoning Syllabus
Data Sufficiency 
Missing Number 
Mixed Series 
Number Arrangement 
Number Series 
Order And Ranking 
Statement Based

Arithmetic Reasoning Formulas

Some basic math formulas are applied in Arithmetic Reasoning, we are providing you all with important Arithmetic Reasoning formulas below:

  • Addition: a + b = c
  • Subtraction: a – b = c
  • Multiplication: a * b = c
  • Division: a / b = c
  • Average: (a + b + c + … + n) / n
  • Percentage: (part/whole) * 100
  • Ratio: a: b
  • Proportion: a / b = c / d
  • Distance: Speed * Time
  • Speed: Distance / Time
  • Time: Distance / Speed
  • Simple Interest: I = P * R * T / 100 (where I = interest, P = principal, R = rate, and T = time)
  • Compound Interest: A = P(1 + r/n)^(nt) (where A = amount, P = principal, r = annual interest rate, n = number of times interest is compounded per year, and t = time in years)
  • Profit or Loss: Profit = Selling Price – Cost Price (Loss = Cost Price – Selling Price)
  • Percent Increase or Decrease: (New Value – Old Value) / Old Value * 100
  • Fractions:
    • Addition: a/b + c/d = (ad + bc) / bd
    • Subtraction: a/b – c/d = (ad – bc) / bd
    • Multiplication: (a/b) * (c/d) = (a * c) / (b * d)
    • Division: (a/b) ÷ (c/d) = (a * d) / (b * c)
  • Decimal to Fraction: To convert a decimal to a fraction, write the decimal as the numerator and the denominator as a power of 10 based on the number of decimal places. Then, simplify the fraction.
  • Fraction to Decimal: Divide the numerator by the denominator.
  • Fraction to Percentage: (Fraction) * 100
  • Percentage to Fraction: (Percentage) / 100
  • Percentage to Decimal: (Percentage) / 100
  • Decimal to Percentage: (Decimal) * 100
  • Least Common Multiple (LCM): The smallest multiple that is exactly divisible by each of the numbers.
  • Greatest Common Divisor (GCD): The largest number that divides two or more numbers without leaving a remainder.
  • Prime Numbers: A number greater than 1 that has only two factors: 1 and itself.
  • Factors: The numbers that can be multiplied together to get the original number.
  • Square of a Number: a² = a * a
  • Cube of a Number: a³ = a * a * a
  • Square Root: √a is the number that, when multiplied by itself, equals a.
  • Cube Root: ∛a is the number that, when multiplied by itself three times, equals a.

Arithmetic Reasoning Questions and Answers

Arithmetic Reasoning questions and answers are as follows:

1. In the following series, choose the number that can replace the question mark (?).

1, 2, 8, 33, 148, ?

A. 265
B. 465
C. 565
D. 765

Answer ||| D

2. In the following series, choose the number that can replace the question mark (?).

4, 6, 11, 24, 51, 130, ?

A. 289
B. 241
C. 277
D. 298

Answer ||| A

3.In the following series, choose the number that can replace the question mark (?).

1, 2, 3, 8, 15, ?, 105, 384

A. 54
B. 68
C. 72
D. 48

Answer ||| D

4. Select the missing number from the given series in the following question.

67, 46, 24, 1, –23, ?

A. –48
B. –38
C. –46
D. –50

Answer ||| A

5. In the following series, choose the number that can replace the question mark (?).

242, 288, ?, 392, 450 

A. 338
B. 375
C. 316
D. 324

Answer ||| A

13. In the following series, choose the number that can replace the question mark (?).

189, 532, 316, ?, 377 

A. 384
B. 291
C. 441
D. 405

Answer ||| C

6. To finish the given sequence, which letter cluster will replace the question mark (?)?



Answer ||| D

7. Two positions of the same dice are shown. There are six symbols on the cube that is ¥, ∞, µ, ρ, β, Σ, what will be in front of symbol β?



B. Σ

C. ¥

D. ρ

Answer ||| A

8. Examine the faces of the dice before answering the question.

Which colour is opposite to Red?


A. Yellow
B. Pink
C. Green
D. Black

Answer ||| D

9. Which colour is opposite to yellow?

A. Violet
B. Red
C. Purple
D. Blue

Answer ||| A 

10.How many triangles are there in the given figure?


A. 38
B. 44
C. 46
D. 54

Answer ||| B

11.If 5 November 2019 was Tuesday, then what was the day of the week on 5 December 2011?

A. Tuesday
B. Sunday
C. Monday
D. Saturday

Answer ||| C

12.If 3rd January is Sunday, what date will be three days after the fourth Wednesday in the month?

A. 30
B. 27
C. 26
D. 23

Answer ||| A

13.If Shankar 37 rank ahead of Kalyan in one test. The rank of Kalyan is 37th from the last. Total participant of that test is 94. What is Shankar’s rank from start?

A. 20
B. 21
C. 23
D. 24

Answer ||| B

14.In a row of thirty-two girls, M is twelfth from the left end and there are seventeen girls between M and N. N is the right of M. What is N’s position from the right end of the row?

A. 6
B. 4
C. 5
D. 3

Answer ||| D

15.M, N, O, P, Q are five friends. O is fastest guy. P can run faster than N and Q. M can run faster than Q. N is slower than M. Who is slowest?

A. N
B. Q
C. either N or Q
D. M

Answer ||| C

Arithmetic Reasoning PDF

To practice and prepare for these arithmetic questions, candidates often rely on Arithmetic Reasoning Questions PDFs. These PDFs provide a convenient and accessible resource that contains a wide range of arithmetic reasoning questions with detailed solutions. The PDF format allows candidates to easily download and print the material for offline studying or use it on digital devices.

Arithmetic Reasoning Questions PDF (Check Here)

By utilizing these PDFs as part of their preparation strategy, candidates can enhance their arithmetic reasoning abilities and score well in the reasoning section.

Books for Arithmetic Reasoning

Arithmetic reasoning is a critical component of many competitive exams. It tests a candidate’s ability to solve mathematical problems and apply arithmetic concepts in practical scenarios.

By referring to the best books, candidates gain access to comprehensive study material specifically designed to cover the arithmetic reasoning syllabus in-depth. These books provide explanations, examples, and practice questions that help candidates understand and master various arithmetic topics such as fractions, percentages, ratios, and more.

Book Name 


Verbal & Non-Verbal Reasoning

R. S. Aggarwal

Verbal & Non-Verbal Reasoning (Hindi)

Kiran Publication

Fast Track Objective (Arithmetic Reasoning)

Arihant Publication

Additionally, best books for arithmetic reasoning often include previous years’ question papers and mock tests, allowing candidates to familiarize themselves with the exam pattern and gain valuable experience. They provide an opportunity to assess one’s progress and identify areas that require further improvement.

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