Question : Directions: Which two signs should be interchanged to make the given equation correct? 10 – 4 + 13 ÷ 15 × 3 = 71
Option 1: + and ×
Option 2: – and ÷
Option 3: ÷ and ×
Option 4: – and ×
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Correct Answer: ÷ and ×
Solution : Given: 10 – 4 + 13 ÷ 15 × 3 = 71
Replace the signs given in the equation with the assigned signs in the options one by one – First option: + and × ⇒ 10 – 4 × 13 ÷ 15 + 3 = 71 Solving the L.H.S. of the equation – = 10 – 4 × 0.87 + 3 = 10 – 3.48 + 3 = 13 – 3.48 = 9.52 ≠ 71 Second option: – and ÷ ⇒ 10 ÷ 4 + 13 – 15 × 3 = 71 Solving the L.H.S. of the equation – = 2.5 + 13 – 15 × 3 = 2.5 + 13 – 45 = 15.5 – 45 = –29.5 ≠ 71 Third option: ÷ and × ⇒ 10 – 4 + 13 × 15 ÷ 3 = 71 Solving the L.H.S. of the equation – = 10 – 4 + 13 × 5 = 10 – 4 + 65 = 75 – 4 = 71 Fourth option: – and × ⇒ 10 × 4 + 13 ÷ 15 – 3 = 71 Solving the L.H.S. of the equation – = 10 × 4 + 0.87 – 3 = 40 + 0.87 – 3 = 40.87 – 3 = 37.87 ≠ 71
So, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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