Which two signs and two numbers should be interchanged in the following equation to make it correct?

150 × 15 + 14 - 9 ÷ 2 = 6

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SSC CGL 2022 Tier-I Official Paper (Held On : 01 Dec 2022 Shift 2)
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  1. 9, 2, -, ×
  2. 9, 2, ÷, ×
  3. 150, 2, ÷, -
  4. 15, 9, +, ÷

Answer (Detailed Solution Below)

Option 2 : 9, 2, ÷, ×
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Detailed Solution

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BODMAS

Given : 150 × 15 + 14 - 9 ÷ 2 = 6

So, after interchanging two signs and two numbers :

  • Option - (1) : 9, 2, -, ×

150 - 15 + 14 × 2 ÷ 9 = 6

150 - 15 + 14 × 0.22 = 6

150 + 3.08 - 15 = 6

153.08 - 15 = 6

138.08 6 (LHS ≠ RHS)

  • Option - (2) : 9, 2, ÷, ×

150 ÷ 15 + 14 - 2 × 9 = 6

10 + 14 - 2 × 9 = 6

10 + 14 - 18 = 6

24 - 18 = 6

6 = 6 (LHS = RHS)

  • Option - (3) : 150, 2, ÷, -

2 × 15 + 14 ÷ 9 - 150 = 6

2 × 15 + 1.55 - 150 = 6

30 + 1.55 - 150 = 6

31.55 - 150 = 6

118 ≠ 6 (LHS ≠ RHS)

  • Option - (4) : 15, 9, +, ÷

150 × 9 ÷ 14 - 15 + 2 = 6

150 × 0.64 - 15 + 2 = 6

96 + 2 - 15 = 6

98 - 15 = 6

≠ 6 (LHS ≠ RHS)

Hence, "Option - (2)" is the correct answer.
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