Arithmetic Reasoning: Key Concepts, Solved Examples, & Prep Tips
Tuhin Chakraborty
| Updated: Nov 25, 2020 23:47 IST
Arithmetic Reasoning tests the mathematical knowledge of a candidate. Questions that are based on arithmetic reasoning are usually numerical in nature, so they contain calculation parts in many cases. Candidates who don’t like mathematics will find this reasoning section unfavourable for them, but with clear concept and practise they can easily ace this section. Some of the topics under arithmetic reasoning are Puzzle, Analogy, Series, Venn Diagram, Cube and Dice, Inequality and so on.
In this article, we are going to cover the key concepts of Arithmetic Reasoning along with the various types of it, solved examples, practice questions and the tips and tricks to solve the questions related to this type of reasoning. Read the article thoroughly to clear all the doubts regarding the same.
What is Arithmetic Reasoning?
As mentioned above, Arithmetic Reasoning is all about solving logical reasoning questions by performing various mathematical operations.Some of the important chapters under arithmetic reasoning are Puzzle, Analogy, Series, Venn Diagram, Cube and Dice, Inequality and so on. Let us now understand various types of arithmetic reasoning from below.
Types of Arithmetic Reasoning
Let us see the various types of questions that may come in the Arithmetic Reasoning section one by one from below.
1. Puzzle
In this type of arithmetic reasoning, candidates need to analyze the given piece of information, pick the information that is important, and leave out the information that is not required in solving the given set of questions.
2. Analogy
In this type of arithmetic reasoning, candidates will need to find a word or paid words analogous to those given in the question.
3. Series
In this type of arithmetic reasoning, Candidates need to find the missing or wrong number in the provided series. There may be some questions where one of the terms in the given series will be incorrect, and candidates need to find out that term of the series by identifying the pattern involved in the formation of the series.
4. Inequality
In this type of arithmetic reasoning, candidates must know about various signs, which are used in such types of questions. The same is given below:
| Symbol | Meaning |
| A > B | A is greater than B |
| A < B | A is less than B |
| A = B | A is equal to B |
| A ≥ B | A is either greater than or equal to B |
| A ≤ B | A is either less than or equal to B |
| A ≠ B | A is either greater than or less than B |
5. Venn Diagram
A Venn Diagram is a representation method for all possible relations that can exist between a given group of elements in a single figure. A venn diagram is the easiest way to express the relationship between sets.
6. Cube & Dice
In this type of reasoning, problems based on single or multiple cube and dice will be asked and candidates need to give the correct answer by analyzing the given image.
Check more details on Order and Word Formation
How to Solve Question Based on Arithmetic Reasoning – Know all Tips and Tricks
Candidates can find various tips and tricks from below for solving the questions related to this section.
Tip # 1: Clearing all the concepts well is very necessary to score well in the topics of arithmetic reasoning.
Tip # 2: Use graphical representations, to understand what is being asked in the question to give the correct answer.
Tip # 3: Practice mock tests and quizzes as much as possible to get well versed with all the topics and their question patterns to score well in the arithmetic reasoning section.
Also get insights on Statement and Course of Action
Arithmetic Reasoning Sample Questions
Question 1: 3, 6, 11, 18, 27, ?, 51
Solution: The solution of the series is as follows.
3 + 3 = 6
6 + 5 = 11
11 + 7 = 18
18 + 9 = 27
27 +11 = 38
38 + 13 = 51
Hence, the correct answer is 38.
Question 2: 5, 11, 24.2, 53.24, ?, 257.6816
Solution: The solution of the series is as follows.
5 x 2.2 = 11
11 x 2.2 = 24.2
24.2 x 2.2 = 53.24
53.24 x 2.2 = 117.128
117.128 x 2.2 = 257.6816
Hence, the correct answer is 117.128.
Question 3: 71 : 42 :: 98 : ?
Solution:
71 – 29 = 42
Similar, 98 – 29 = 69
Hence, 69 will replace the question mark.
Question 4: 67 : 76 :: 42: ?
Solution:
67 + 9 = 76
Similarly, 42 + 9 = 51,
Hence, 51 will replace the question mark.
Question 5: 49, 121, 169, ?, 361
Solution: The solution of the series is as follows.
7^ 2 = 49
11^ 2 = 121
13 ^ 2 = 169
17 ^ 2 = 289
19 ^ 2 = 361
Hence, the correct answer is 289.
Question 6: The position of how many digit(s) in the number 381576 will remain the same after the number is arranged in the ascending order?
Solution:
Original number form is: 3 8 1 5 7 6
Ascending order form is: 1 3 5 6 7 8
If we check the number/s whose position will remain the same in both forms then we will see that the position of only number remains same or unchanged which is the number 7.
Hence, the correct answer is One.
Exams where Arithmetic Reasoning is Part of Syllabus
Questions based on this section come up often in various prestigious government exams some of them are as follows.
- Bank (PO & Clerk) Exams
- SSC (CGL, 10+2, Steno, FCI, CPO, Multitasking)
- LIC (AAO & ADO)
- RRB
- UPSC
- State PSC Exams
Check out more details on other Reasoning Topics:
| Alphabet Test | Cause & Effect |
| Blood Relations | Clocks |
| Calendars | Coding Decoding |
| Direction & Distance | Data Sufficiency |
We hope you found this article regarding the arithmetic reasoning section was informative and helpful, and please do not hesitate to contact us for any doubts or queries regarding the same. You can also download the Testbook App, which is absolutely free and start preparing for any government competitive examination by taking the mock tests before the examination to boost your preparation.
Arithmetic Reasoning FAQs
Q.1 What is Arithmetic Reasoning?
Ans.1
Arithmetic Reasoning is all about solving logical reasoning questions by performing various mathematical operations
Q.2 How many types of arithmetic reasoning questions are there?
Ans.2
Questions of arithmetic reasoning can be categorized into topics like Puzzle, Analogy, Series, Venn Diagram, Cube and Dice, Inequality and so on.
Q.3 Where will I get the tips and tricks for the arithmetic reasoning section?
Ans.3
Some of the tips and tricks regarding the arithmetic reasoning reasoning section are given above in the article.
Q.4 Where I will find some of the sample questions related to arithmetic reasoning?
Ans.4
Various example questions along with their solutions are given above in the article. Kindly go through the article for the same.
Q.5 In which exam questions from arithmetic reasoning come up?
Ans.5
Arithmetic Reasoning is one of the most important sections for various government and non government recruitment examinations. Several prestigious exams frequently ask questions related to arithmetic reasoning sections. More details can be found in the article above.
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