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If ‘P’ stands for ‘×’, ‘Q’ stands for ‘÷’, ‘R’ stands for ‘−’ and ‘S’ stands for ‘+’, what will come in place of the question mark (?) in the following equation? 35 S 49 R 6 P 3 P 2 S (72 Q 4) = ?
50
66
84
98
66
Apply BODMAS strictly: solve the bracket first, then perform multiplications, followed by additions and subtractions from left to right.
Apply BODMAS strictly: solve the bracket first, then perform multiplications, followed by additions and subtractions from left to right.
Mapping the symbols
Replace letters with mathematical operators based on the prompt: P = x, Q = /, R = -, S = +. The expression becomes: 35 + 49 - 6 x 3 x 2 + (72 / 4).
Solving the bracket and multiplication
First, simplify the bracket: (72 / 4) = 18. Then, calculate the multiplication part: 6 x 3 x 2 = 18 x 2 = 36. The expression is now: 35 + 49 - 36 + 18.
Final addition and subtraction
Performing operations left to right: (35 + 49) = 84; (84 - 36) = 48; (48 + 18) = 66.
A: 50 is the result of incorrect operator precedence or missing the final addition; C: 84 is the result of ignoring the subtraction; D: 98 is the result of miscalculating the multiplication chain.
B is correct because following the BODMAS rule (Bracket, Division, Multiplication, Addition, Subtraction) on the transformed expression 35 + 49 - 36 + 18 yields exactly 66.
In mathematical coding questions, always check if multiplication components are connected sequentially (like 6 P 3 P 2) before performing addition or subtraction to avoid common errors.
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