By Interchanging the given two numbers which of the following equation will be not correct?

9 and 6

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 3)
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  1. 7 + 6 × 4 ÷ 9 – 8 = 5
  2. 6 × 8 – 9 ÷ 3 + 5 = 75
  3. 9 × 7 + 4 ÷ 1 – 6 = 38
  4. 7 × 6 ÷ 3 + 9 – 8 = 19

Answer (Detailed Solution Below)

Option 3 : 9 × 7 + 4 ÷ 1 – 6 = 38
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Detailed Solution

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BODMAS

According to the question, after interchanging the number 9 and 6:

So,

  • Option - (1) : 7 + 6 × 4 ÷ 9 – 8 = 5  ⇒  7 + 9 × 4 ÷ 6 – 8 = 5

7 + 9 × 4 ÷ 6 – 8 = 5

7 + 9 × 0.67 - 8 = 5

7 + 6 - 8 = 5

13 - 8 = 5

 

5 = 5 (LHS = RHS)

  • Option - (2) : 6 × 8 – 9 ÷ 3 + 5 = 75  ⇒  9 × 8 – 6 ÷ 3 + 5 = 75

9 × 8 – 6 ÷ 3 + 5 = 75

9 × 8 – 2 + 5 = 75

72 + 5 - 2 = 75

77 - 2 = 75

75 = 75 (LHS = RHS)

  • Option - (3) : 9 × 7 + 4 ÷ 1 – 6 = 38  ⇒  6 × 7 + 4 ÷ 1 – 9 = 38

6 × 7 + 4 ÷ 1 – 9 = 38

6 × 7 + 4 - 9 = 38

42 + 4 - 9 = 38

46 - 9 = 38

37  Unknown node type: strong 38 (LHS Unknown node type: strong RHS)

  • Option - (4) : 7 × 6 ÷ 3 + 9 – 8 = 19  ⇒  7 × 9 ÷ 3 + 6 – 8 = 19

7 × 9 ÷ 3 + 6 – 8 = 19

7 × 3 + 6 – 8 = 19

21 + 6 – 8 = 19

27 - 8 = 19

19 = 19 (LHS = RHS)

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