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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