Question : Directions: Which two signs need to be interchanged to make the following equation correct? 72 − 12 + 8 × 6 ÷ 22 = 32
Option 1: − and ×
Option 2: − and +
Option 3: × and ÷
Option 4: − and ÷
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Correct Answer: − and ÷
Solution : Given: 72 − 12 + 8 × 6 ÷ 22 = 32
Let's check each option – First Option: – and × On interchanging the mathematical signs, we get – 72 × 12 + 8 – 6 ÷ 22 = 32 Solving the L.H.S. of the given equation – = 72 × 12 + 8 – 0.27 = 864 + 8 – 0.27 = 871.73 ≠ 32 Second Option: – and + On interchanging the mathematical signs, we get – 72 + 12 – 8 × 6 ÷ 22 = 32 Solving the L.H.S. of the given equation – = 72 + 12 – 8 × 0.27 = 72 + 12 – 2.16 = 81.84 ≠ 32 Third Option: × and ÷ On interchanging the mathematical signs, we get – 72 − 12 + 8 ÷ 6 × 22 = 32 Solving the L.H.S. of the given equation – = 72 − 12 + 29.33 = 89.33 ≠ 32 Fourth Option: – and ÷ On interchanging the mathematical signs, we get – 72 ÷ 12 + 8 × 6 – 22 = 32 Solving the L.H.S. of the given equation – = 6 + 8 × 6 – 22 = 6 + 48 – 22 = 32
So, only the fourth option satisfies the equation. Hence, the fourth option is correct.
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