Mathematical Operation Arithmetical Reasoning

Arithmetic is the branch of mathematics that deals with numbers and their operations. Arithmetic Reasoning assesses a student’s basic mathematical understanding. Problems focused on arithmetic reasoning are often quantitative. Hence they frequently include calculating components. Aspirants who dislike mathematics might struggle with this section, though they will be able to master it with a solid understanding and preparation. Puzzles, analogies, Venn Diagram, Cube and Dice, Inequality, and other arithmetic topics fall under arithmetic reasoning. Mathematical operation arithmetic reasoning includes logical questions based upon arithmetic and reasoning solved through mathematical concepts.

Mathematical Operation Arithmetic Reasoning

Mathematical Operations is a critical thinking idea frequently tested in many competitive examinations. This topic is chosen to assess the candidates’ analytical ability. It demonstrates your ability to observe things and then infer them to answer questions. To gain total points on this topic, you must practise numerous problems and become familiar with the concept. Let us look at the way for solving mathematical operations problems and examples.

The following are examples of questions based on mathematical operations:

• Check to see if the given equations are valid.
• Based on sign-equivalent symbols
• Switching the symbols
• Complete the equation.

Students should master just one rule for every sort of mathematical operation for arithmetic questions, which is BODMAS. “Brackets, Orders, Division, Multiplication, Addition, and Subtraction” is the formula. It indicates that any problem must be solved in the BODMAS order. Remove the brackets first. Next, solve the powers or roots, following the order of operation as Division, Multiplication, Addition, and then Subtraction.

Types Of Arithmetic Reasoning

Here are the types of arithmetic and reasoning questions:

• Puzzles

Candidates must examine the supplied information, choose the relevant information, and drop the information that is not needed to solve the given series of problems in this sort of arithmetic reasoning.

• Analogy

In this sort of arithmetic reasoning, applicants must discover a term or words similar to those provided in the question.

• Series

Candidates must locate the missing or incorrect number in the given series in this kind of arithmetic reasoning. There may be particular problems where one of the terms in the supplied series is erroneous, and candidates must figure out which term is faulty by recognising the sequence involved in the series’ creation.

• Inequality

Candidates must understand several signs utilised in such problems, such as greater than and less than, to do well in this sort of arithmetic reasoning.

• The Venn Diagram

A Venn Diagram represents all potential relationships between a given collection of items in a single figure. The most straightforward approach to represent the relationship between sets is via a Venn diagram.

• Dice and Cube

In this form of reasoning, applicants would be asked to solve issues based on a single or many cubes and dice, and they must provide the proper solution by interpreting the available image.

Techniques and Hints

• Candidates can discover numerous tips and strategies for answering questions in this section using the techniques given below:
• It is critical to understand all mathematics fundamentals to perform well in the arithmetic reasoning sections.
• To provide the proper response, use graphical representations to grasp what has been asked in the question.
• Practising mock exams and quizzes to become familiar with all of the topics and associated question patterns to perform well in the arithmetic reasoning portion.

Arithmetic Reasoning Questions

• Find the next term in the given series: 2, 1, 1, 2, 8, 64, x

Solution: In the given series, 2, 1, 1, 2, 8, 64, x, we find the pattern being followed. As we can see, the terms are calculated by multiplying the previous term by ½, 1, 2, 4, 8, etc. So, the next term can be found by multiplying the last term by 16. Thus, 64 x 16 = 1024 is the answer.

• If A represents ‘multiplied’ by’, S represents ‘subtracted’ from’, N represents ‘add to’, and C represents ‘divided by’, then 28 C 7 A 8 S 6 N 4 =?

Solution: According to the question, we modify the given statement as 28 C 7 A 8 S 6 N 4 

=> 28 divided by 7 multiplied by 8 subtracted from 6 added to 4.

=> 28 7 8 -6 +4 

Using the BODMAS rule, we solve the above statement.

=> 4 8 -6 +4 

=> 32 -6 +4 => 32 – 2 = 30

Thus, the correct answer is 30.

• How can we interchange and replace the symbols and numbers of the given equation to make it mathematically correct? The equation is 4 + 6 – 3 = 5.

Solution: The given equation is 4 + 6 – 3 = 5, which is untrue.

If we solve the LHS of the equation, we get 10 – 3 = 7, but here the answer is 5. So, we try different combinations of numbers and mathematical signs to fit the equation. Our goal is to arrange the LHS such that the resulting number is 5. 

We get the required answer as: 6 – 4 + 3= 6 – 1 = 5

When we interchange 4 and 6 and the + and – signs, we get the desired answer as 5.

Conclusion

Arithmetic reasoning enables us to choose the necessary information from a given question and answer it using mathematical concepts. Arithmetic operations are performed when mathematical operations such as addition, subtraction, multiplication, and division are required. So, in general, arithmetic reasoning is concerned with turning a word problem and putting it into equations to arrive at a solution. The best way to solve arithmetic reasoning problems is to examine the problem, determine which mathematical concept must be used, and then arrive at the proper answer.