On this page, you will read the information about the important chapter of Reasoning, Mathematical Operations and learn to solve the questions related to it.

In the previous post, we have shared information about the chapter series of Reasoning, please read it.

## What are Mathematical Operations

Mathematical operations mean general mathematical operations which are based on **Addition**, **Subtraction**, **Multiplication** and **Division**.

These types of questions do not have any operational characteristics, rather the main task associated with them is the replacement of imaginary symbols by real symbols.

Sometimes symbols like bigger, smaller, equal etc. are also used in this.

Under this, a mathematical equation is given in which imaginary mathematical symbols have been used.

Under imaginary mathematical symbols, either the mathematical symbols themselves are used by changing their meaning or letters or shapes are used.

To solve such questions, the value of the equation has to be found by using real symbols instead of imaginary symbols.

To solve the problems of mathematical operations, they are solved by BODMAS RULE.

**B →** Bracket**O →** Of (of)**D → Division****M → Multiplication****A → Addition****S → Subtraction**

That is, first of all we simplify through Bracket (), then of (of), then Division (division), then Multiplication (multiplication), Addition (addition), and Subtraction (subtraction).

## Mathematical Operations Questions and Solutions

Q.1 If A means ‘+’, ‘B’ means ‘-‘, ‘C’ means ‘÷’ and ‘D’ means ‘×’, then what will be the value of 25A5B10C2D5?

A. 2

B. 5

C. 10

D. 25

Solution:- According to the question,

A means ‘+’,

B means ‘-‘,

C means ‘÷’,

D means ‘×’,

25A5B10C2D5

25 + 5 – 10 ÷ 2 × 5

25 + 5 – 5 × 5

25 + 5 – 25

Ans. 5

Q.2 If + means ×, – means ÷, × means – and ÷ means +, then what will be the value of 9 + 8 ÷ 8 – 4 × 9?

A. 11

B. 17

C. 26

D. 65

Solution:- According to the question,

+ Meaning of ×,

– Meaning of ÷,

× Meaning of -,

÷ Meaning of +,

9 + 8 ÷ 8 – 4 × 9

On changing the sign,

9 × 8 + 8 ÷ 4 – 9

72 + 2 – 9

74 – 9

65

Ans. 65

Q.3 If × means ÷, – means ×, ÷ means + and + means – then what will be the value of (3 – 18 ÷ 11) × 13 ÷ 6?

A. 11

B. 12

C. 13

D. 14

Solution:- According to the question,

× Meaning of ÷,

– Meaning of ×,

÷ Meaning of +,

+ Meaning of -,

(3 – 18 ÷ 11) × 13 ÷ 6

On changing the sign,

(3 × 18 + 11) ÷ 13 + 6

(54 + 11) ÷ 13 + 6

65 ÷ 13 + 6

5 + 6

11

Ans. 11

Q.4 If + means ×, × means ÷, – means +, and ÷ means –, then what will be the value of 20 – 5 ÷ 18 × (3 + 2)?

A. 18

B. 20

C. 22

D. 24

Solution:- According to the question,

+ Meaning of ×

× Meaning of ÷

– Meaning of –

÷ Meaning of –

20 – 5 ÷ 18 × (3 + 2)

upon change of sign

20 + 5 – 18 ÷ (3 × 2)

25 – 18/6

25 – 3

22

Ans. 22

Q.5 If + means ×, × means ÷, – means +, and ÷ means –, then what will be the value of 20 – 8 × 4 ÷ 3 + 2?

A. 16

B. 22

C. 18

D. 17

Solution:- According to the question,

+ Meaning of ×

× Meaning of ÷

– Meaning of +

÷ Meaning of –

20 – 8 × 4 ÷ 3 + 2

On changing the sign,

20 + 8 ÷ 4 – 3 × 2

20 + 8/4 – 6

20 + 2 – 6

22 – 6

16

Ans. 16

Q.6 If – means ÷, + means ×, ÷ means –, and × means +, then which of the equations given below is correct?

A. 8 ÷ 3 × 2 + 8 – 6 = 10

B. 18 – 3 + 2 × 8 ÷ 6 = 14

C. 18 × 3 + 2 ÷ 8 – 6 = 15

D. 18 – 3 ÷ 2 × 8 + 6 = 17

Solution:- According to the question,

– Meaning of ÷

+ Meaning of ×

÷ Meaning of –

× Meaning of +

18 – 3 + 2 × 8 ÷ 6 = 14

On changing the sign,

18 ÷ 3 × 2 + 8 – 6 = 14

18/3 × 2 + 2 = 14

6 × 2 + 2 = 14

12 + 2 = 14

Ans. 18 – 3 + 2 × 8 ÷ 6 = 14

Q.7 If × means ÷, – means ×, ÷ means +, and + means – then what will be the value of (3 – 15 ÷ 11) × 8 + 6?

A. 1

B. 2

C. 3

D. 4

Solution:- According to the question,

× Meaning of ÷

– Meaning of ×

÷ Meaning of +

+ Meaning of –

(3 – 15 ÷ 11) × 8 + 6

upon change of sign

(3 × 15 + 11) ÷ 8 – 6

(45 + 11) ÷ 8 – 6

56/8 – 6

7 – 6

1

Ans. 1

Q.8 If + means ×, × means -, ÷ means +, and – means ÷, then what will be the value of 175 – 25 ÷ 5 + 20 × 3 + 10?

A.66

B.77

C.88

D.99

Solution:- According to the question,

+ Meaning of ×

× Meaning of –

÷ Meaning of +

– Meaning of ÷

175 – 25 ÷ 5 + 20 × 3 + 10

On changing the sign,

175 ÷ 25 + 5 × 20 – 3 × 10

7 + 100 – 30

7 + 70

77

Ans. 77

Q.9 If the answer given in the equation given below is to be reached, then which of the symbols given in the options will be appropriate?

31 4 2 1 = 30

A. × ÷ ×

B.- + ÷

C. + – ×

D.- ÷ +

Solution:- According to the question,

31 – 4 ÷ 2 + 1 = 30

31 – 2 + 1 = 30

29 + 1 = 30

30 = 30

Ans. (- +)

Q.10 If A means +, B means – and C means ×, then what will be the value of (10C4)A(4C4)B6?

A.30

B.40

C.50

D.60

Solution:- According to the question,

(10C4)A(4C4)B6

= (10 × 4) + (4 × 4) – 6

= 40 + 16 – 6

= 56 – 6

Ans. 50

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