Question : Directions: If P denotes multiplied by, R denotes subtracted from, S denotes added to and Q denotes divided by, then which of the following equations is true?
Option 1: 18 R 60 Q 15 S 2 = 8
Option 2: 15 S 16 Q 2 P 4 = 47
Option 3: 3 P 5 R 18 Q 3 = 6
Option 4: 15 S 28 Q 4 P 2 = 27
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Correct Answer: 15 S 16 Q 2 P 4 = 47
Solution : Given: P means multiplied by, R means subtracted from, S means added to, Q means divided by.
Let's check the options – First option: 18 R 60 Q 15 S 2 = 8 ⇒ 18 – 60 ÷ 15 + 2 = 8 On solving the L.H.S. of the equation – = 18 – 60 ÷ 15 + 2 = 18 – 4 + 2 = 20 – 4 = 16 ≠ 8 Second option: 15 S 16 Q 2 P 4 = 47 ⇒ 15 + 16 ÷ 2 × 4 = 47 On solving the L.H.S. of the equation – = 15 + 16 ÷ 2 × 4 = 15 + 8 × 4 = 15 + 32 = 47 Third option: 3 P 5 R 18 Q 3 = 6 ⇒ 3 × 5 – 18 ÷ 3 = 6 On solving the L.H.S. of the equation – = 3 × 5 – 18 ÷ 3 = 3 × 5 – 6 = 15 – 6 = 9 ≠ 6 Fourth option: 15 S 28 Q 4 P 2 = 27 ⇒ 15 + 28 ÷ 4 × 2 = 27 On solving the L.H.S. of the equation – = 15 + 28 ÷ 4 × 2 = 15 + 7 × 2 = 15 + 14 = 29 ≠ 27
So, the equation is true only for the second option. Hence, the second option is correct.
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