Mathematical Operation (SSC REASONING)

Total Questions: 50

11. If F means '-', G means 'x', D means '÷', B means '+', then what will come in place of the question mark (?) in the following equation?

15 G 10 D 30 B 43 F 28 = ?

Correct Answer: (b) 20
Solution:Given:- 15 G 10 D 30 B 43 F 28
As per instructions after interchanging
the letters with signs we get,
15 x 10÷30+43-28 ⇒ 5+15 = 20

12. If 'A' stands for '÷'. 'B' stands for 'x', 'C' stands for '+' and 'D' stands for '-',what will come in place of the question mark (?) in the following equation?

(54 A 9) C 34 D (10 B 3) C 46 D 16 = ?

Correct Answer: (a) 40
Solution:Given:-
(54 А 9) С 34 D (10 В 3) C 46 D 16 = ?
After applying the changes given in the
question we get,
(54÷9) +34 - (10 x 3) + 46 - 16 = ?
6+34-30 + 46- 16 86-46 = 40

13. What will come in the place of '?' in the following equation, if:

'+' is changed with '-'
'-' is changed with '÷'
'÷' is changed with '+'
'x' is unchanged
120-6+ 31 ÷ 8 x 11 = ?

Correct Answer: (c) 77
Solution:120-6 +31 ÷ 8 × 11 = ?
After applying the changes given in the
question we get,
120÷ 6-31 + 8 x11 = ?
20-31 + 88 = 77

14. What will come in the place of the question mark (?) in the following equation, if '+' and''are interchanged and 'x'and' ÷' are interchanged?

9÷6-136 x 8 +13 = ?

Correct Answer: (b) 58
Solution:9 ÷ 6-136 x 8 + 13 = ?
After interchanging + and - & x and ÷
9 x 6+136÷8-13 ⇒ 54+17-13 ⇒ 58

15. If 'A' stands for '÷', 'B' stands for 'x', 'C' stands for '+' and 'D' stands for '-',what will come in place of the question mark '?' in the following equation?

23 C 13 В 841 A 29 D 91 = ?

Correct Answer: (d) 309
Solution:23 C 13 В 841 A 29 D 91 = ?
As per given instructions after
interchanging the letters with signs we
get, 23 + 13 x 841 ÷ 29 - 91
= 23 + 13 x 29 - 91 = 23 +377-91
= 400-91 = 309

16. Select the correct combination of mathematical signs to sequentially fill in the diamond-shapes and to balance the given equation.

56 ◇ 8 ◇ 4 ◇ 7 ◇ 50 ◇ 15

Correct Answer: (d) ÷, x, +, =, -
Solution:After going through all the
options, option (d) satisfies.
56÷8 x 4+ 7 = 50-15
⇒7x 4+7= 35 ⇒ 35 = 3 ⇒ L.H.S.= R.H.S.

17. ⁴√256* 9 * 26 * 33 * (18* 2) * (63 * 9)

Correct Answer: (d) x, +,=, +, x,-, ÷
Solution:In this type of questions we
will check options one by one and doing
so option (d) gets satisfied.
⁴√256 x 9+ 26 = 33+ (18 x 2) - (63÷9)
⇒ 4x9+26 = 33 + (36) - (7)
⇒ 36+26 = 33 + 36-7 ⇒ 62 = 62
L.H.S = R.H.S

18. By Interchanging the given two numbers (Not digits) which of the following equation will not be correct? 4 and 6

Correct Answer: (d) 6 x 3- 4 ÷1 = 3
Solution:On interchanging 4 and 6, in
options one by one, option (d) does NOT
satisfy.
4 x 3 - 6÷1 = 3 12-6= 6 ≠3

19. Which two numbers(not the digits of the numbers) and two signs should be interchanged to make the given equation correct?

70-4 x 20 + 6÷5= 60

Correct Answer: (b) 5, 6 and +, ÷
Solution:70-4 x 20 +6÷ 5 = 60
After interchanging the signs and
numbers by selecting options one by one
we get,
70-4 x 20÷5+6 = 60
From L.H.S. = 70-4×4+6
=70-16+ 6 = 60 = R.H.S.

20. Which two numbers (not the digits of the numbers) and two signs should be interchanged to make the given equation correct?

25÷12 × 5-36 + 24 = 72

Correct Answer: (b) 5 and 12; + and –
Solution:25 ÷ 12 × 5- 36 + 24 = 72
After interchanging the signs and
numbers, by selecting option one by one,
from option (b) we get,
25 ÷ 5 x 12+ 36 - 24 = 72
From L.H.S. = 5 x 12+ 36-24
= 60 + 36-24 = 72 = R.H.S.