Question : Directions: Which two numbers (NOT digits) should be interchanged to make the following equation mathematically correct? 8 ÷ 2 × 6 − 11 + 5 = 15
Option 1: 2 and 8
Option 2: 5 and 6
Option 3: 2 and 6
Option 4: 6 and 11
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Correct Answer: 5 and 6
Solution : Given: 8 ÷ 2 × 6 − 11 + 5 = 15
Let's check each option – First Option: 2 and 8 On interchanging the numbers, we get – 2 ÷ 8 × 6 − 11 + 5 = 15 On solving the L.H.S. of the equation – = 2 ÷ 8 × 6 − 11 + 5 = 1.5 − 11 + 5 = –4.5 ≠ 15 Second Option: 5 and 6 On interchanging the numbers, we get – 8 ÷ 2 × 5 − 11 + 6 = 15 On solving the L.H.S. of the equation – = 8 ÷ 2 × 5 − 11 + 6 = 4 × 5 − 11 + 6 = 20 − 11 + 6 = 15 Third Option: 2 and 6 On interchanging the numbers, we get – 8 ÷ 6 × 2 − 11 + 5 = 15 On solving the L.H.S. of the equation – = 8 ÷ 6 × 2 − 11 + 5 = 2.67 − 11 + 5 = –3.33 ≠ 15 Fourth Option: 6 and 11 On interchanging the numbers, we get – 8 ÷ 2 × 11 − 6 + 5 = 15 On solving the L.H.S. of the equation – = 8 ÷ 2 × 11 − 6 + 5 = 4 × 11 − 6 + 5 = 44 − 6 + 5 = 43 ≠ 15
So, only the second option satisfies the equation. Hence, the second option is correct.
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