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 3)
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  1. 18 ÷ 3 + 8 × 5 – 4 = 30
  2. 4 × 6 + 7 – 3 ÷ 1 = 20
  3. 18 + 8 × 6 ÷ 3 – 11 = 13
  4. 6 × 9 + 7 – 8 ÷ 2 = 51

Answer (Detailed Solution Below)

Option 1 : 18 ÷ 3 + 8 × 5 – 4 = 30
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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) : 18 ÷ 3 + 8 × 5 – 4 = 30

18 ÷ 3 - 8 × 5 + 4 = 30

6 - 8 × 5 + 4 = 30

6 + 4 - 40 = 30

10 - 40 = 30

-30 ≠ 30 (LHS ≠ RHS)

  • Option - (2) : 4 × 6 + 7 – 3 ÷ 1 = 20

4 × 6 - 7 + 3 ÷ 1 = 20

4 × 6 - 7 + 3 = 20

24 + 3 - 7 = 20

27 - 7 = 20

20 = 20 (LHS = RHS)

  • Option - (3) : 18 + 8 × 6 ÷ 3 – 11 = 13

18 - 8 × 6 ÷ 3 + 11 = 13

18 - 8 × 2 + 11 = 13

18 + 11 - 16 = 13

29 - 16 = 13

13 = 13 (LHS = RHS)

  • Option - (4) : 6 × 9 + 7 – 8 ÷ 2 = 51

6 × 9 - 7 + 8 ÷ 2 = 51

6 × 9 - 7 + 4 = 51

54 + 4 - 7 = 51

58 - 7 = 51

51 = 51 (LHS = RHS)

Hence, "Option - (1)" is the correct answer.
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