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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? 120 R 40 P 8 Q 5 S 90 =?
55
60
35
45
55
Follow the BODMAS rule (Brackets, Of, Division, Multiplication, Addition, Subtraction) strictly to process the converted equation in one pass.
Follow the BODMAS rule (Brackets, Of, Division, Multiplication, Addition, Subtraction) strictly to process the converted equation in one pass.
Substitute the operators
Replace P with /, Q with *, R with +, and S with -. The original equation 120 R 40 P 8 Q 5 S 90 becomes 120 + 40 / 8 * 5 - 90.
Apply BODMAS order
First, perform division: 40 / 8 = 5. The equation becomes 120 + 5 * 5 - 90. Second, perform multiplication: 5 * 5 = 25. The equation becomes 120 + 25 - 90.
Calculate final result
Perform addition: 120 + 25 = 145. Finally, perform subtraction: 145 - 90 = 55.
B: 60 is incorrect as it results from miscalculating the order of operations; C: 35 is incorrect as it results from treating addition before multiplication; D: 45 is incorrect due to arithmetic error during the final subtraction step.
A is correct because applying the BODMAS rule to 120 + 40 / 8 * 5 - 90 yields 120 + 5 * 5 - 90, which simplifies to 120 + 25 - 90 = 55.
Always ensure you perform Division and Multiplication before Addition and Subtraction to avoid common calculation errors in mathematical operations questions.