Question : Directions: Which two signs should be interchanged to make the given equation correct? 312 – 13 × 14 + 207 ÷ 4 = 539
Option 1: ÷ and –
Option 2: – and +
Option 3: ÷ and +
Option 4: + and ×
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Correct Answer: ÷ and –
Solution : Given: 312 – 13 × 14 + 207 ÷ 4 = 539
Replace the given symbols in the options one by one with the original symbols in the given equation. First option: ÷ and – = 312 ÷ 13 × 14 + 207 – 4 = 24 × 14 + 207 – 4 = 336 + 207 – 4 = 539 Second option: – and + = 312 + 13 × 14 – 207 ÷ 4 = 312 + 13 × 14 – 51.75 = 312 + 182 – 51.75 = 442.25 ≠ 539 Third option: ÷ and + = 312 – 13 × 14 ÷ 207 + 4 = 312 – 13 × 0.067 + 4 = 312 – 0.88 + 4 = 315.12 ≠ 539 Fourth option: + and × = 312 – 13 + 14 × 207 ÷ 4 = 312 – 13 + 14 × 51.75 = 312 – 13 + 724.5 = 1023.5 ≠ 539
Here, only the first option satisfies the R.H.S. of the given equation. Hence, the first option is correct.
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