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If 'P' stands for '├╖', 'Q' stands for '├Ч', 'R' stands for '+', and 'S' stands for '-', then what is the value of: 24 P 4 Q 3 R 8 S 2 = ?
22
24
26
28
24
Always follow the BODMAS sequence (Divide, Multiply, Add, Subtract) to prevent common arithmetic errors in sign-replacement problems.
Always follow the BODMAS sequence (Divide, Multiply, Add, Subtract) to prevent common arithmetic errors in sign-replacement problems.
Substitute the symbols
Given P=/, Q=*, R=+, S=-. Substitute these into the expression: 24 / 4 * 3 + 8 - 2.
Apply BODMAS order
Perform Division first: (24 / 4) = 6. The expression becomes 6 * 3 + 8 - 2. Then Multiplication: (6 * 3) = 18. The expression becomes 18 + 8 - 2.
Final arithmetic
Perform Addition: (18 + 8) = 26. Then Subtraction: 26 - 2 = 24.
A: Calculation result 22 is incorrect because the subtraction was applied before the full addition sequence. C: Calculation result 26 is incorrect as it fails to subtract the final digit 2. D: Calculation result 28 is incorrect as it results from misapplying the order of operations.
B is correct because the sequence 24 / 4 * 3 + 8 - 2 follows BODMAS to yield 6 * 3 + 8 - 2 = 18 + 8 - 2 = 24.
In sign substitution questions, always check for the division operator first; if it does not result in a whole number, re-verify your mapping or operator placement.