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If 'P' stands for '×', 'Q' stands for '÷', 'R' stands for '-' and 'S' stands for '+', what will come in place of question mark '?' in the following equation? 15×6−11×4+38−41+2×5=?
61
41
49
53
53
Substitute the symbols into the given expression first, then strictly apply BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction).
Substitute the symbols into the given expression first, then strictly apply BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction).
Step 1: Understand the given symbol substitutions
P stands for multiplication (×), Q stands for division (÷), R stands for subtraction (-), and S stands for addition (+).
Step 2: Substitute symbols into the given equation
Replacing letters in '15 P 6 R 11 P 4 S 38 R 41 S 2 P 5' gives: 15 × 6 - 11 × 4 + 38 - 41 + 2 × 5.
Step 3: Apply BODMAS rule (Perform multiplication first)
Evaluate multiplication parts: 15 × 6 = 90, 11 × 4 = 44, and 2 × 5 = 10. The expression becomes: 90 - 44 + 38 - 41 + 10.
Step 4: Perform Addition and Subtraction
Group positive and negative terms: (90 + 38 + 10) - (44 + 41) = 138 - 85 = 53.
A: 61 is incorrect as it results from arithmetic calculation errors. B: 41 is incorrect. C: 49 is incorrect. Option D (53) is mathematically verified.
D is correct because substituting the letters with their respective arithmetic operators and applying the BODMAS rule yields exactly 53.
Always perform all multiplication and division operations before addition and subtraction to avoid common sign and calculation errors in arithmetic reasoning.
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