Question

If 'P' denotes +, 'Q' denotes -, 'R' denotes $\times$, and 'S' denotes $÷$, which of the following statements is correct?

• A. $\text{36 R 4 S 8 Q 7 P 4}=10$
• B. $\text{16 R 12 P 49 S 7 Q 9}=200$
• C. $\text{32 S 8 R 9}=\text{160 Q 12 R 12}$
• D. $\text{8 R 8 P 8 S 8 Q 8}=57$

Answer 1

The correct option is D $\text{8 R 8 P 8 S 8 Q 8}=57$

Option A: $\text{36 R 4 S 8 Q 7 P 4}=36\times 4÷8-7+4$

$=36\times 0.5-7+4$

$=18-7+4$

$=15$

Option B: $\text{16 R 12 P 49 S 7 Q 9}=16\times 12+49÷7-9$

$=16\times 12+7-9$

$=192-2$

$=190$

Option C: LHS = $\text{32 S 8 R 9}=32÷8\times 9$

$=4\times 9$

$=36$

RHS = $\text{160 Q 12 R 12}=160-12\times 12$

$=160-144$

$=16$

$\therefore LHS\ne RHS$

Option D: $\text{8 R 8 P 8 S 8 Q 8}=$$8\times 8+8÷8-8$

$=8\times 8+1-8$

$=64+1-8$

$=57$

So, option D is correct.