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If 'P' means 'multiplication', 'Q' means 'division', 'R' means 'addition' and 'S' means 'subtraction', then what is the value of 18 P 6 Q 3 R 8 S 2 = ?
42
38
44
40
42
Substitute the symbols with their respective mathematical operators and follow the standard BODMAS rule strictly.
Substitute the symbols with their respective mathematical operators and follow the standard BODMAS rule strictly.
Step 1: Substitute Symbols
Replace 'P' with '*', 'Q' with '/', 'R' with '+', and 'S' with '-' in the given expression: 18 P 6 Q 3 R 8 S 2 becomes 18 * 6 / 3 + 8 - 2.
Step 2: Apply BODMAS Rule (Division and Multiplication)
First, perform division and multiplication from left to right. 18 * 6 = 108, then 108 / 3 = 36. The expression simplifies to 36 + 8 - 2.
Step 3: Perform Addition and Subtraction
Next, perform addition: 36 + 8 = 44. Then, perform subtraction: 44 - 2 = 42.
B: 38 is incorrect because it results from incorrect operator precedence or calculation errors. C: 44 is incorrect because it misses the final subtraction step. D: 40 is incorrect due to a calculation error during the addition or division phase.
A is correct because substituting the given operators yields 18 * 6 / 3 + 8 - 2, which simplifies step-by-step using BODMAS to 36 + 8 - 2 = 42, matching Option A.
Always ensure you perform multiplication and division before addition and subtraction to avoid common calculation pitfalls.