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Q: Which two numbers should be interchanged to make the given equation correct? 74 – 52 + (39 ÷ 13) × 16 + (14 ÷ 2) = 106 (NOTE: Numbers must be interchanged and not the constituent digits e.g. if 2 and 3 are to be interchanged in the equation 43 × 3 + 4 ÷ 2, then interchanged equation is 43 × 2 + 4 ÷ 3)
  • A. 14 and 52
  • B. 52 and 39
  • C. 74 and 52
  • D. 14 and 16
Correct Answer: Option B - Given, 74 – 52 + (39 ÷ 13) × 16 + (14 ÷ 2) = 106 On interchanging the numbers from option (b) 74 – 39 + (52 ÷ 13)×16+(14 ÷ 2)= 106 35 + 4 × 16 + 7= 106 35 + 64 + 7 = 106 106 = 106 L.H.S = R.H.S
B. Given, 74 – 52 + (39 ÷ 13) × 16 + (14 ÷ 2) = 106 On interchanging the numbers from option (b) 74 – 39 + (52 ÷ 13)×16+(14 ÷ 2)= 106 35 + 4 × 16 + 7= 106 35 + 64 + 7 = 106 106 = 106 L.H.S = R.H.S

Explanations:

Given, 74 – 52 + (39 ÷ 13) × 16 + (14 ÷ 2) = 106 On interchanging the numbers from option (b) 74 – 39 + (52 ÷ 13)×16+(14 ÷ 2)= 106 35 + 4 × 16 + 7= 106 35 + 64 + 7 = 106 106 = 106 L.H.S = R.H.S