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

34 ÷ 16 + 4 × 8 − 6 = 60

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 12 Dec 2022 Shift 2)
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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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BODMAS

Given statement : 34 ÷ 16 + 4 × 8 − 6 = 60

According to the question, after interchanging the signs:

So,

  • Option - (1) : − and ×

34 ÷ 16 + 4 - 8 × 6 = 60

2.125 + 4 - 8 × 6 = 60

2.125 + 4 - 48 = 60

6.125 - 48 = 60 

-41.875 ≠ 60 (LHS ≠ RHS)

  • Option - (2) : + and ×

Given statement : 34 ÷ 16 + 4 * 8 − 6 = 60

After interchanging:

34 ÷ 16 × 4 + 8 − 6 = 60

2.125 × 4 + 8 − 6 = 60

8.5 + 8 - 6 = 60

16.5 - 6 = 60

10.5 ≠ 60 (LHS ≠ RHS)

  • Option - (3) : ÷ and −

 

Given statement : 34 ÷ 16 + 4 * 8 − 6 = 60

After interchanging:

34 - 16 + 4 × 8 ÷ 6 = 60

34 - 16 + 4 × 1.33 = 60

34 + 5.32 - 16 = 60

39.32 - 16 = 60

23.32 ≠ 60 (LHS ≠ RHS)

  • Option - (4) : ÷ and +

 

Given statement : 34 ÷ 16 + 4 * 8 − 6 = 60

After interchanging:

34 + 16 ÷ 4 × 8 − 6 = 60

34 + 4 × 8 − 6 = 60

34 + 32 - 6 = 60

66 - 6 = 60

60 = 60 (LHS = RHS)

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

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