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

10 - 4 + 13 ÷ 15 × 3 = 71 

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SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 1)
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  1. + and × 
  2. - and ÷
  3. ÷ and × 
  4. - and × 

Answer (Detailed Solution Below)

Option 3 : ÷ and × 
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Detailed Solution

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BODMAS 

Given statement : 10 - 4 + 13 ÷ 15 × 3 = 71 

According to the question, after interchanging the signs :

So,

  • Option - (1) : + and × 

10 - 4 + 13 ÷ 15 × 3 = 71 ⇒ 10 - 4 × 13 ÷ 15 + 3 = 71

10 - × 0.87 + 3 = 71 

10 + 3 - 3.48 = 71

13 - 3.48 = 71

9.52 ≠ 71 (LHS ≠ RHS)

  • Option - (2) : - and ÷ 

10 - 4 + 13 ÷ 15 × 3 = 71 ⇒ 10 ÷ 4 + 13 - 15 × 3 = 71

2.5 + 13 - 15 × 3 = 71

2.5 + 13 - 45 = 71

15.5 - 45 = 71

29.5 ≠ 71 (LHS ≠ RHS)

  • Option - (3) : ÷ and × 

10 - 4 + 13 ÷ 15 × 3 = 71 ⇒ 10 - 4 + 13 × 15 ÷ 3 = 71

10 - 4 + 13 × 5 = 71

10 + 65 - 4 = 71

75 - 4 = 71

71 = 71 (LHS = RHS)

  • Option - (4) : - and ×

10 - 4 + 13 ÷ 15 × 3 = 71 ⇒ 10 × 4 + 13 ÷ 15 - 3 = 71

10 × 4 + 0.87 - 3 = 71 

40 + 0.87 - 3 = 71

40.87 - 3 = 71

37.87 ≠ 71 (LHS ≠ RHS)

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