By interchanging the given two signs which of the following equation will be not correct?

+ and –

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 1)
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  1. 8 ÷ 4 × 6 + 5 – 9 = 16
  2. 15 + 3 × 4 – 6 ÷ 2 = 6
  3. 3 × 2 – 72 ÷ 6 + 8 = 18
  4. 3 + 4 – 2 × 5 ÷ 1 = 9

Answer (Detailed Solution Below)

Option 3 : 3 × 2 – 72 ÷ 6 + 8 = 18
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Detailed Solution

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BODMAS

According to the question, after interchanging the given two signs + and – :

So,

  • Option - (1) : 8 ÷ 4 × 6 + 5 – 9 = 16

8 ÷ 4 × 6 - 5 + 9 = 16

2 × 6 - 5 + 9 = 16

12 + 9 - 5 = 16

21 - 5 = 16

16 = 16 (LHS = RHS)

  • Option - (2) : 15 + 3 × 4 – 6 ÷ 2 = 6

​15 - 3 × 4 + 6 ÷ 2 = 6

15 - 3 × 4 + 3 = 6

15 + 3 - 12 = 6

18 - 12 = 6

6 = 6 (LHS = RHS)

  • Option - (3) : 3 × 2 – 72 ÷ 6 + 8 = 18

3 × 2 + 72 ÷ 6 - 8 = 18

3 × 2 + 12 - 8 = 18

6 + 12 - 8 = 18

18 - 8 = 18

10 ≠ 18 (LHS ≠ RHS)

  • Option - (4) : 3 + 4 – 2 × 5 ÷ 1 = 9

​3 - 4 + 2 × 5 ÷ 1 = 9

3 - 4 + 2 × 5 = 9

3 + 10 - 4 = 9

13 - 4 = 9

9 = 9 (LHS = RHS)

Therefore, Option 3 is not satisfied the equation.

Hence, "Option - (3)" is the correct answer.

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