Symbol and Notation Reasoning Questions and Answers

Directions (Questions 21 to 27): In each of the following questions, the given equation becomes correct due to the interchange of two signs. One of the four alternatives under it specifies the interchange of signs in the equation which made will make the equation correct. Find the correct alternatives.

Q-21. Which Sign should be interchange to correct it.
5+ 3 x 8 – 12 + 4 = 3

(a) + and –
(b) – and +
(c) + and x
(d) + and ÷

View Answer and Solution 

Answer : (b)
Solution :
(b) 5 + 3 x 8 - 12 + 4 = 3
On interchanging - and ÷, we get the equation as :
5 + 3 x 8: 12 - 4 = 3
5 +  3\frac{2}{3}  - 4 = 3
3 = 3

Q-22. Which Sign should be interchange to correct it.
5 + 6 ÷ 3 – 12 × 2 = 17

(a) ÷ and ×
(c) + and x
(c) + and ÷
(c) + and –

View Answer and Solution 

Answer : (a)
Solution :
(a) 5 + 6 - 3 - 12 x 2 = 17
On interchanging - and x, we get:
5 + 6 x 3 - 12 ÷ 2 = 17
5 + 6 x 3 - 6 = 17
5 + 18 - 6 = 17
17 = 17

Q-23. Which Sign should be interchange to correct it.
2 × 3 + 6 – 12 ÷ 4 = 17

(a) x and +
(b) + and –
(c) + and ÷
(d) – and ÷

View Answer and Solution 

Answer : (a)
Solution :
(a) 2 x 3 + 6 - 12 : 4 = 17
On interchanging x and +, we get:
2 + 3 x 6- 12 ÷ 4 = 17
2 + 3 x 6 - 3 = 17
2 + 18 - 3 = 17
17 = 17

Q-24. Which Sign should be interchange to correct it.
16 – 8 + 4 + 5 x 2 = 8

(a) ÷ and x
(b) – and ÷
(c) ÷ and +
(d) – and x

View Answer and Solution 

Answer : (b)
Solution :
(b) 16-8 4 + 5 x 2 = 8
On interchanging - and :, we get:
16 ÷ 8 - 4 + 5 x 2 = 8
2 - 4 + 5 x 2 = 8
2 - 4 + 10 = 8
8 = 8

Q-25. Which Sign should be interchange to correct it.
9 + 5 ÷ 4 x 3 – 6 = 12

(a) + and x
(b) ÷ and x
(c) + and –
(d) + and –

View Answer and Solution 

Answer : (c)
Solution :
(c) 9 + 5 + 4 x 3 - 6 = 12
On interchanging - and -, we get:
9 + 5 - 4 x 3 ÷ 6 = 12
9 + 5 - 4 x  \frac{1}{2}  = 12
9 + 5 - 2 = 12
12 = 12

Q-26.
Which Sign should be interchange to correct it.12 ÷ 2 – 6 x 3 + 8 = 16
(a) ÷ and +
(b) – and +
(c) x and +
(d) ÷ and x

View Answer and Solution 

Answer : (b)
Solution :
(b) 12 ÷ 2 - 6 x 3 + 8 = 16
On interchanging - and + we get:
12 ÷ 2 + 6 x 3 - 8 = 16
6 + 6 x 3 - 8 = 16
6 + 18 -8 = 16
16 = 16

Q-27. Which Sign should be interchange to correct it.
10 + 10 ÷ 10 – 10 x 10 = 10

(a) + and –
(b) + and ÷
(c) + and x
(d) ÷ and +

View Answer and Solution 

Answer : (c)
Solution :
(c) 10 + 10 ÷ 10 - 10 x 10 = 10
On interchanging + and, x, we get the equation as :
10 x 10 ÷ 10 - 10 + 10 = 10
10 x 1 - 10 + 10 = 10
10 - 10 + 10 = 10
10 = 10