Question : Directions: Which two signs should be interchanged to make the given equation correct? 294 + 14 × 4 ÷ 16 – 67 = 33
Option 1: + and ÷
Option 2: × and ÷
Option 3: + and –
Option 4: – and ÷
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Correct Answer: + and ÷
Solution : Given: 294 + 14 × 4 ÷ 16 – 67 = 33
Replace the given symbols in the options one by one with the original symbols in the given equation. First option: + and ÷ = 294 ÷ 14 × 4 + 16 – 67 = 33 = 21 × 4 + 16 – 67 = 84 + 16 – 67 = 100 – 67 = 33 Second option: × and ÷ = 294 + 14 ÷ 4 × 16 – 67 = 294 + 3.5 × 16 – 67 = 294 + 56 – 67 = 350 – 67 = 283 ≠ 33 Third option: + and – = 294 – 14 × 4 ÷ 16 + 67 = 294 – 14 × 0.25 + 67 = 294 – 3.5 + 67 = 361 – 3.5 = 357.5 ≠ 33 Fourth option: – and ÷ = 294 + 14 × 4 – 16 ÷ 67 = 294 + 14 × 4 – 0.2388 = 294 + 56 – 0.2388 = 350 – 0.2388 = 349.7612 ≠ 33
So, only the first option satisfies the R.H.S. of the given equation. Hence, the first option is correct.
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