Question : Directions: Which two signs should be interchanged to make the given equation correct? 8 = 5 – 31 + 12 ÷ 2 × 15
Option 1: + and ÷
Option 2: × and =
Option 3: ÷ and –
Option 4: – and +
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Correct Answer: × and =
Solution : Given: 8 = 5 – 31 + 12 ÷ 2 × 15
Replace the given symbols in the options one by one with the original symbols in the given equation. First option: + and ÷ ⇒ 8 = 5 – 31 ÷ 12 + 2 × 15 Solving the R.H.S. of the equation – = 5 – 2.58 + 30 = 32.42 ≠ 8 Second option: × and = ⇒ 8 × 5 – 31 + 12 ÷ 2 = 15 Solving the L.H.S. of the equation – = 8 × 5 – 31 + 6 = 40 – 31 + 6 = 15 = R.H.S. Third option: ÷ and – ⇒ 8 = 5 ÷ 31 + 12 – 2 × 15 Solving the R.H.S. of the equation – = 0.16 + 12 – 30 = –17.84 ≠ 8 Fourth option: – and + ⇒ 8 = 5 + 31 – 12 ÷ 2 × 15 Solving the R.H.S. of the equation – = 5 + 31 – 6 × 15 = 5 + 31 – 90 = 36 – 90 = –54 ≠ 8
So, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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