Question : Directions: Which two signs should be interchanged to make the given equation correct? 1664 ÷ 4 × 2 + 712 – 316 = 436
Option 1: ÷ and +
Option 2: ÷ and –
Option 3: – and +
Option 4: + and ×
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Correct Answer: – and +
Solution : Given: 1664 ÷ 4 × 2 + 712 – 316 = 436
Interchange the signs given in the options one by one with the signs in the given equation – First option: ÷ and + = 1664 + 4 × 2 ÷ 712 – 316 = 1664 + 4 × 0.0028 – 316 = 1664 + 0.0112 – 316 = 1664.0112 – 316 = 1348.0112 ≠ 436 Second option: ÷ and – = 1664 – 4 × 2 + 712 ÷ 316 = 1664 – 4 × 2 + 2.25 = 1664 – 8 + 2.25 = 1666.25 – 8 = 1658.25 ≠ 436 Third option: – and + = 1664 ÷ 4 × 2 – 712 + 316 = 416 × 2 – 712 + 316 = 832 – 712 + 316 = 1148 – 712 = 436 = R.H.S. Fourth option: + and × = 1664 ÷ 4 + 2 × 712 – 316 = 416 + 2 × 712 – 316 = 416 + 1424 – 316 = 1840 – 316 = 1524 ≠ 436
So, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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