Mathematical Operation (SSC REASONING)

Total Questions: 50

1. If 'Alpha' means addition, 'Beta' means subtraction, 'Gamma' means multiplication, and 'Delta' means division, then what is the value of 100 Delta 5 Beta 10 Alpha 2 Gamma 3? [SSC Stenographer 08/08/2025 (Shift 3) ]

Correct Answer: (d) 16
Solution:Given: 100 Delta 5 Beta 10
Alpha 2 Gamma 3?
As per given instructions
interchanging the signs we get,
100÷5-10+2 × 3 = x
20-10+6 = x
x = 26-10
x = 16

2. Which two signs and two numbers should be interchanged in the equation given below to make the following equation correct? [SSC Stenographer 08/08/2025 (Shift 3) ]

10+4-5 x 2 = 19

Correct Answer: (c) Signs x and +, Numbers 2 and 4
Solution:Given: 10+4-5x 2 = 19
As per given instruction after
interchanging 'x' and '+' and '2' and '4' we
get
10 × 2-5+4 =19
20-1 = 19
L.H.S = R.H.S

3. if + = x, - = +, x = ÷, ÷ = -; then, What is (4+5) x2-3+1? [SSC Stenographer 08/08/2025 (Shift 2) ]

Correct Answer: (a) 12
Solution:Given: (4+5) x 2-3÷1
As per given instruction interchange the
signs, we get
= (4 x 5)÷2+3-1
= 10 +3-1
= 12

4. If △ means '+', □ means '-', ▽ means '×', and ○ means '÷', what is the value of: 12 △ 8 ▽ 3 ○ 6 □ 5 = ? [SSC Stenographer 06/08/2025 (Shift 3) ]

Correct Answer: (d) 11
Solution:Given, 12 △ 8 ▽ 3 o 6 □ 5= ?
As per given instructions, we get
12+8 ×3÷6-5
12+4-5=11

5. Which of the following interchanges of numbers (not digits) would make the given equation correct?

2⁵⁷⁻³³⁺¹¹ˣ¹³⁻²+ 3⁶⁴⁻⁵⁶⁺⁸ˣ⁴⁻⁴⁴=35

Correct Answer: (d) 33 and 44
Solution:

6. If 'A' stands for ', 'B' stands for 'x', 'C' stands for '+' and 'D' stands for '-. then the resultant of which of the following will be 233?

Correct Answer: (b) 21 B 11 D 33 A 11 C5
Solution:After checking all the options
,only option (b) is satisfied.
21 B 11 D 33 A 11C5
As per given instruction after
interchanging letters with sign we get
21 × 11 - 33 ÷ 11 + 5 = 231- 3+ 5 = 233

7. Which two numbers should be interchanged to make the given equation correct?

74-52+ (39 +13) × 16 + (14÷2) = 106 (NOTE: Numbers must be interchanged and not the constituent digits e.g. if 2 and 3 are to be interchanged in the equation 43 x 3 + 4+ 2, then interchanged equation is 43 x 2 + 4+3)

Correct Answer: (b) 52 and 39
Solution:

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

163÷3+ 147 x 7-1=?

Correct Answer: (b) 459
Solution:As per given instructions after
interchanging '+' andand 'x' and '÷'
we get ⇒ 163 x 3-147÷7+1
⇒ 489-21 + 1 = 469

9. Which two signs should be interchanged to make the given equation correct?

42÷7+ 11 x 87- 12 = 141

Correct Answer: (b) x and +
Solution:Given :- 42÷ 7+ 11 × 87 -12 = 141
After going through all the options
'option (b) satisfies. After interchanging x
and + we get,
42÷7 x 11 + 87 - 12
⇒ 66+87-12 ⇒ 66 + 75 = 141
L.H.S. = R.H.S

10. If '+' means '÷', '-' means '+', 'x' means '-' and '+'means 'x', then what will come in place of (?) in the given equation?

8+5- 5 × 10 + 2 =?

Correct Answer: (c) 40
Solution:Given: 85÷5×10+2
After applying the changes given in the
question we get,
8×5+5-10÷2 ⇒ 40+5-5= 40