Question : Directions: Which of the mathematical signs should be interchanged in the given equation to make it mathematically correct? 12 + 66 ÷ 11 − 4 × 91 = 159
Option 1: ÷ and ×
Option 2: + and −
Option 3: + and ×
Option 4: + and ÷
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Correct Answer: + and ×
Solution : Given: 12 + 66 ÷ 11 − 4 × 91 = 159
Let's check each option – First Option: ÷ and × On interchanging the mathematical signs, we get – 12 + 66 × 11 − 4 ÷ 91 = 159 On solving the L.H.S. of the equation – = 12 + 66 × 11 − 4 ÷ 91 = 12 + 66 × 11 − 0.04 = 12 + 726 − 0.04 = 737.96 ≠ 159 Second Option: + and – On interchanging the mathematical signs, we get – 12 – 66 ÷ 11 + 4 × 91 = 159 On solving the L.H.S. of the equation – = 12 – 66 ÷ 11 + 4 × 91 = 12 – 6 + 4 × 91 = 12 – 6 + 364 = 370 ≠ 159 Third Option: + and × On interchanging the mathematical signs, we get – 12 × 66 ÷ 11 − 4 + 91 = 159 On solving the L.H.S. of the equation – = 12 × 66 ÷ 11 − 4 + 91 = 12 × 6 − 4 + 91 = 72 − 4 + 91 = 159 Fourth Option: + and ÷ On interchanging the mathematical signs, we get – 12 ÷ 66 + 11 − 4 × 91 = 159 On solving the L.H.S. of the equation – = 12 ÷ 66 + 11 − 4 × 91 = 0.18 + 11 − 4 × 91 = 0.18 + 11 − 364 = –352.82 ≠ 159
So, only the third option satisfies the equation. Hence, the third option is correct.
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