Math Operation and Symbol Notation Online Test Reasoning Questions With Solutions, Online Test On Math Operation and Symbol Notation

Math Operation and Symbol Notation is an important concept of reasoning that is generally asked in different competitive exams. This topic is asked to test the problem-solving abilities of the candidates. It demonstrates your skill in observing details and utilizing them to solve problems. In order to achieve a perfect score in this subject, it is mandatory to practice maximum number of questions and become familiar with the basic concept. Here we are providing you with the method to solve Math Operation and Symbol Notation along with Solutions.

How to solve questions based on Math Operation and Symbol Notation?

The category of questions related to Math Operation and Symbol Notation includes:

Determining the correctness of given equations
Using symbols equivalent to signs
Interchanging signs
Balancing equations
Solving equations

BODMAS is very important for such mathematical operation questions and you must know this rule very clearly i.e. Brackets, Orders, Division, Multiplication, Addition, and Subtraction.
The correct sequence to solve mathematical expressions is:

Expand the brackets
Simplify powers or roots
Perform division, followed by multiplication
Carry out addition and subtraction operations.

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Some important questions related to Math Operation and Symbol Notation

Question-1)

If C means ‘add to’, K means ‘multiply by’, W means ‘subtract from’ and U means ‘divide by’, then 26 U 2 C 3 K 6 W 4 = ?
 
(a) 10
(b) 28
(c) 30
(d) 27

Solution:

Using the correct symbols, we have:

Given expression = 26 ÷ 2 + 3 × 6 – 4 = 13 + 18 – 4 = 27

Question-2)

Using the following substitutions: + for ×, × for -, ÷ for +, and – for ÷, what is the value of the expression 625 – 25 ÷ 5 + 20 × 3 + 10?

(a) 77
(b) 95
(c) 88
(d) 137

Solution:

Using the proper signs in the given expression, we get:

625 ÷ 25 + 5 × 20 – 3 × 10

= 25 + 5 × 20 – 3 × 10 = 25 + 100 – 30

= 125 – 30 = 95

Question-3)

Which of the following interchange of numbers would make the given equation correct?

8 × 20 ÷ 3 + 9 - 5 = 38

(a) 38
(b) 27
(c) 18
(d) 53

Solution:

∵ 8 × 20 ÷ 3 + 9 - 5 = 38

⇒ 8 × 20 ÷ 5 + 9 - 3 = 38

⇒ 8 × 4 = 9 - 3 = 38

⇒ 32 + 9 - 3 = 38

Question-4)

In each of the following questions, all the equations except one have been solved according to a certain rule. You are required to solve the unsolved equation following the same rule and to choose the correct answer out of the given options.

9 * 7 = 32, 13 * 7 = 120, 17 * 9 = 208, 19 * 11 = x

(a) 38
(b) 27
(c) 18
(d) 53

Solution:

As, 9 * 7 ⇒ (9 + 7) (9 - 7) = 16 × 2 = 32

13 * 7 ⇒ (13 + 7) (13 - 7) = 20 × 6 = 120

17 * 9 ⇒ (17 + 9) (17 - 9) = 26 × 8 = 208

Similarly, 19 * 11 ⇒ (19 + 11) (19 - 11) = 30 × 8 = 240

∴ x = 240