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

13 × 6 + 24 ÷ 6 - 17 = 91

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SSC CGL 2023 Tier-I Official Paper (Held On: 26 Jul 2023 Shift 1)
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  1. ÷ and +
  2. + and × 
  3. ÷ and × 
  4. + and -

Answer (Detailed Solution Below)

Option 4 : + and -
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Detailed Solution

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Given equation : 13 × 6 + 24 ÷ 6 - 17 = 91 

Now, by interchanging the signs

  • Option - (1) : ÷ and + 

13 × 6 + 24 ÷ 6 - 17 = 91 ⇒ 13 × 6 ÷ 24 + 6 - 17 = 91

13 × 0.25 + 6 - 17 = 91 

3.25 + 6 - 17 = 91

9.25 - 17 = 91

 

7.75 ≠ 91 (LHS ≠ RHS)

  • Option - (2) : + and × 

13 × 6 + 24 ÷ 6 - 17 = 91 ⇒ 13 + 6 × 24 ÷ 6 - 17 = 91

13 + × 4 - 17 = 91

13 + 24 - 17 = 91

37 - 17 = 91

20 ≠ 91 (LHS ≠ RHS)

  • Option - (3) :  ÷ and ×   

13 × 6 + 24 ÷ 6 - 17 = 91 ⇒ 13 ÷ 6 + 24 × 6 - 17 = 91

2.16 + 24 × 6 - 17 = 91

2.16 + 144 - 17 = 91

146.16 - 17 = 91

129.16 ≠ 91 (LHS ≠ RHS)

  • Option - (4) : + and -

13 × 6 + 24 ÷ 6 - 17 = 91 ⇒ 13 × 6 - 24 ÷ 6 + 17 = 91

13 × 6 - 4 + 17 = 91

78 + 17 - 4 = 91

95 - 4 = 91

91 = 91 (LHS = RHS)

Hence, "Option - (4)" is the correct answer.

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