Question : Directions: After interchanging which two signs will the value of the given expression be 37? 27 + 3 ÷ 81 × 93 – 57
Option 1: + and ÷
Option 2: – and +
Option 3: × and +
Option 4: ÷ and –
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Correct Answer: × and +
Solution : Given: 27 + 3 ÷ 81 × 93 – 57
Replace the given symbols in the options one by one with the original symbols in the given equation. First options: + and ÷ 27 + 3 ÷ 81 × 93 – 57 On interchanging the mathematical signs, we get – = 27 ÷ 3 + 81 × 93 – 57 = 9 + 81 × 93 – 57 = 9 + 7533 – 57 = 7485 ≠ 37 Second option: – and + 27 + 3 ÷ 81 × 93 – 57 On interchanging the mathematical signs, we get – = 27 – 3 ÷ 81 × 93 + 57 = 27 – 0.037 × 93 + 57 = 27 – 3.441 + 57 = 80.559 ≠ 37 Third option: × and + 27 + 3 ÷ 81 × 93 – 57 On interchanging the mathematical signs, we get – = 27 × 3 ÷ 81 + 93 – 57 = 1 + 93 – 57 = 37 Fourth option: ÷ and – 27 + 3 ÷ 81 × 93 – 57 On interchanging the mathematical signs, we get – = 27 + 3 – 81 × 93 ÷ 57 = 27 + 3 – 81 × 1.63 = 27 + 3 – 132.03 = –102.03 ≠ 37
So, the third option satisfies the equation. Hence, the third option is correct.
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