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Q: By interchanging which two signs will the given equation become correct? 12 ÷ 16 - 8 + 14 × 2 = 38
  • A. ÷ and +
  • B. – and ÷
  • C. + and ×
  • D. × and ÷
Correct Answer: Option B - 12 ÷ 16 – 8 + 14 × 2 = 38 By interchanging the sign as per option (b) – ⇒ 12 – 16 ÷ 8 + 14 × 2 = 38 ⇒ 12 – 2 + 14 × 2 = 38 ⇒ 12 – 2 + 28 = 38 ⇒ 40 – 2 = 38 ⇒ 38 = 38 Hence option (b) is correct.
B. 12 ÷ 16 – 8 + 14 × 2 = 38 By interchanging the sign as per option (b) – ⇒ 12 – 16 ÷ 8 + 14 × 2 = 38 ⇒ 12 – 2 + 14 × 2 = 38 ⇒ 12 – 2 + 28 = 38 ⇒ 40 – 2 = 38 ⇒ 38 = 38 Hence option (b) is correct.

Explanations:

12 ÷ 16 – 8 + 14 × 2 = 38 By interchanging the sign as per option (b) – ⇒ 12 – 16 ÷ 8 + 14 × 2 = 38 ⇒ 12 – 2 + 14 × 2 = 38 ⇒ 12 – 2 + 28 = 38 ⇒ 40 – 2 = 38 ⇒ 38 = 38 Hence option (b) is correct.