Question : Directions: If A denotes +, B denotes –, C denotes × and D denotes ÷, then which of the following equations is true?
Option 1: 8 B 6 D 2 A 4 C 3 = 15
Option 2: 8 A 8 B 8 C 8 = – 48
Option 3: 9 C 9 B 9 D 9 A 9 = 17
Option 4: 3 A 3 B 3 C 3 A 3 D 3 = 4
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Correct Answer: 8 A 8 B 8 C 8 = – 48
Solution : Let's check the options – First option: 8 B 6 D 2 A 4 C 3 = 15 On replacing the letters with mathematical signs, we get – 8 – 6 ÷ 2 + 4 × 3 = 15 On solving the L.H.S. of the equation, we get – = 8 – 6 ÷ 2 + 4 × 3 = 8 – 3 + 4 × 3 = 8 – 3 + 12 = 17 ≠ 15 Second option: 8 A 8 B 8 C 8 = – 48 On replacing the letters with mathematical signs, we get – 8 + 8 – 8 × 8 = – 48 On solving the L.H.S. of the equation, we get – = 8 + 8 – 8 × 8 = 8 + 8 – 64 = – 48 Third option: 9 C 9 B 9 D 9 A 9 = 17 On replacing the letters with mathematical signs, we get – 9 × 9 – 9 ÷ 9 + 9 = 17 On solving the L.H.S. of the equation, we get – = 9 × 9 – 9 ÷ 9 + 9 = 9 × 9 – 1 + 9 = 81 – 1 + 9 = 89 ≠ 17 Fourth option: 3 A 3 B 3 C 3 A 3 D 3 = 4 On replacing the letters with mathematical signs, we get – 3 + 3 – 3 × 3 + 3 ÷ 3 = 4 On solving the L.H.S. of the equation, we get – = 3 + 3 – 3 × 3 + 3 ÷ 3 = 3 + 3 – 3 × 3 + 1 = 3 + 3 – 9 + 1 = – 2 ≠ 4
Hence, the second option is correct.
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