Question : Directions: Which two signs and two numbers should be interchanged in the following equation to make it correct? 35 + 15 – 4 × 45 ÷ 5 = 98
Option 1: 35 and 45; + and –
Option 2: 15 and 5; × and +
Option 3: 35 and 45; × and –
Option 4: 15 and 35; × and ÷
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Correct Answer: 35 and 45; × and –
Solution : Given: 35 + 15 – 4 × 45 ÷ 5 = 98
Replace the given symbols and numbers in the options one by one with the original symbols and numbers in the given equation. First option: 35 and 45; + and – = 45 – 15 + 4 × 35 ÷ 5 = 30 + 28 = 58 ≠ 98 Second option: 15 and 5; × and + = 35 × 5 – 4 + 45 ÷ 15 = 175 – 4 + 3 = 174 ≠ 98 Third option: 35 and 45; × and – = 45 + 15 × 4 – 35 ÷ 5 = 45 + 60 – 7 = 105 – 7 = 98 Fourth option: 35 and 45; × and ÷ = 45 + 15 – 4 ÷ 35 × 5 = 60 + 60 – 0.57 = 119.43 ≠ 98
Here, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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