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

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.