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If ‘P’ stands for ‘×’, ‘Q’ stands for ‘÷’, ‘R’ stands for ‘−’ and ‘S’ stands for ‘+’, then what will come in place of the question mark (?) in the following equation? 53 R 61 S 96 P 3 Q 2 S 28 P 6 R 99 Q 3 S 32 = ?
348
303
365
328
303
Apply the BODMAS rule strictly: perform divisions and multiplications first, followed by additions and subtractions from left to right.
Apply the BODMAS rule strictly: perform divisions and multiplications first, followed by additions and subtractions from left to right.
Symbol Replacement
Replace letters with their mathematical equivalents: 53 - 61 + 96 * 3 / 2 + 28 * 6 - 99 / 3 + 32.
Division and Multiplication Phase
Solve division and multiplication first: 96 * 3 / 2 = 144; 28 * 6 = 168; 99 / 3 = 33. The expression becomes 53 - 61 + 144 + 168 - 33 + 32.
Addition and Subtraction Phase
Sum the positive and negative terms: (53 + 144 + 168 + 32) - (61 + 33) = 397 - 94 = 303.
A: 348 is obtained if brackets or signs are miscalculated; C: 365 is the result of incorrect grouping; D: 328 ignores the order of operations leading to basic arithmetic error.
B is correct because replacing the symbols and applying the BODMAS rule (53 - 61 + 144 + 168 - 33 + 32) evaluates correctly to 303.
In arithmetic reasoning, always prioritize division and multiplication segments to simplify the expression into smaller chunks before dealing with addition and subtraction.
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