Question : Directions: If P means +, Q means –, R means ÷, and S means ×, then which of the following equations is correct?
Option 1: 14 R 7 S 6 P 4 Q 3 = 11
Option 2: 9 S 8 P 6 R 4 S 8 = 80
Option 3: 3 S 6 P 2 Q 3 R 6 = 17.5
Option 4: 11 R 12 S 48 P 10 Q 6 = 48
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Correct Answer: 11 R 12 S 48 P 10 Q 6 = 48
Solution : Given: P means +, Q means –, R means ÷, and S means ×
Let's check the options – First option: 14 R 7 S 6 P 4 Q 3 = 11 On replacing the letters with the mathematical signs, the equation becomes – ⇒ 14 ÷ 7 × 6 + 4 – 3 = 11 Solving the L.H.S. of the equation – = 14 ÷ 7 × 6 + 4 – 3 = 2 × 6 + 4 – 3 = 12 + 4 – 3 = 13 ≠ 11 Second option: 9 S 8 P 6 R 4 S 8 = 80 On replacing the letters with the mathematical signs, the equation becomes – ⇒ 9 × 8 + 6 ÷ 4 × 8 = 80 Solving the L.H.S. of the equation – = 9 × 8 + 6 ÷ 4 × 8 = 9 × 8 + 1.5 × 8 = 72 + 12 = 84 ≠ 80 Third option: 3 S 6 P 2 Q 3 R 6 = 17.5 On replacing the letters with the mathematical signs, the equation becomes – ⇒ 3 × 6 + 2 – 3 ÷ 6 = 17.5 Solving the L.H.S. of the equation – = 3 × 6 + 2 – 3 ÷ 6 = 3 × 6 + 2 – 0.5 = 18 + 2 – 0.5 = 20 – 0.5 = 19.5 ≠ 17.5 Fourth option: 11 R 12 S 48 P 10 Q 6 = 48 On replacing the letters with the mathematical signs, the equation becomes – ⇒ 11 ÷ 12 × 48 + 10 – 6 = 48 Solving the L.H.S. of the equation – = 11 ÷ 12 × 48 + 10 – 6 = 44 + 10 – 6 = 54 – 6 = 48
So, only the equation in the fourth option satisfies the given condition. Hence, the fourth option is correct.
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