Question : Directions: If + is interchanged with ×, and – is interchanged with ÷, then which of the following equations is correct?
Option 1: 18 + 6 × 24 – 4 ÷ 64 = 50
Option 2: 18 + 6 ÷ 24 – 4 × 64 = 50
Option 3: 18 – 6 × 24 + 4 ÷ 64 = 50
Option 4: 18 ÷ 6 + 24 – 4 × 64 = 50
Correct Answer: 18 + 6 × 24 – 4 ÷ 64 = 50
Solution : Let's check each option – First Option: 18 + 6 × 24 – 4 ÷ 64 = 50 On interchanging the mathematical signs, we get – 18 × 6 + 24 ÷ 4 – 64 = 50 On solving the L.H.S. of the equation – = 18 × 6 + 24 ÷ 4 – 64 = 18 × 6 + 6 – 64 = 108 + 6 – 64 = 50 Second Option: 18 + 6 ÷ 24 – 4 × 64 = 50 On interchanging the mathematical signs, we get – 18 × 6 – 24 ÷ 4 + 64 = 50 On solving the L.H.S. of the equation – = 18 × 6 – 24 ÷ 4 + 64 = 18 × 6 – 6 + 64 = 108 – 6 + 64 = 166 ≠ 50 Third Option: 18 – 6 × 24 + 4 ÷ 64 = 50 On interchanging the mathematical signs, we get – 18 ÷ 6 + 24 × 4 – 64 = 50 On solving the L.H.S. of the equation – = 18 ÷ 6 + 24 × 4 – 64 = 3 + 24 × 4 – 64 = 3 + 96 – 64 = 35 ≠ 50 Fourth Option: 18 ÷ 6 + 24 – 4 × 64 = 50 On interchanging the mathematical signs, we get – 18 – 6 × 24 ÷ 4 + 64 = 50 On solving the L.H.S. of the equation – = 18 – 6 × 24 ÷ 4 + 64 = 18 – 6 × 6 + 64 = 18 – 36 + 64 = 46 ≠ 50
So, only the first option satisfies the equation. Hence, the first option is correct.
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