Question : Directions: If P denotes multiplication, Q denotes subtraction, S denotes addition and R denotes division, which of the following equations must be true?
Option 1: 7 S 56 P 2 R 28 = 11
Option 2: 36 R 6 P 2 S 4 = 19
Option 3: 64 R 8 P 3 S 6 = 72
Option 4: 36 R 9 S 4 P 2 = 14
Correct Answer: 7 S 56 P 2 R 28 = 11
Solution :
Let's check the options –
First option:
7 S 56 P 2 R 28 = 11
⇒ 7 + 56 × 2 ÷ 28 = 11
Solving the L.H.S. of the equation –
= 7 + 56 × 2 ÷ 28
= 7 + 4
= 11
Second option:
36 R 6 P 2 S 4 = 19
⇒ 36 ÷ 6 × 2 + 4 = 19
Solving the L.H.S. of the equation –
= 36 ÷ 6 × 2 + 4
= 12 + 4
= 16 ≠ 19
Third option:
64 R 8 P 3 S 6 = 72
⇒ 64 ÷ 8 × 3 + 6 = 72
Solving the L.H.S. of the equation –
= 64 ÷ 8 × 3 + 6
= 24 + 6
= 30 ≠ 72
Fourth option:
36 R 9 S 4 P 2 = 14
⇒ 36 ÷ 9 + 4 × 2 = 14
Solving the L.H.S. of the equation –
= 36 ÷ 9 + 4 × 2
= 4 + 8
= 12 ≠ 14
Only the first option satisfies the equation. Hence, the first option is correct.
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