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If P means +, Q means -, R means ├Ч,Smeans ├╖,then what is the value of: 24 S 4 R 3 P 10 Q 5 =?
23
20
18
15
23
Quick Trick: Apply the BODMAS rule (Bracket, Of, Division, Multiplication, Addition, Subtraction) strictly after substituting the operators to solve the arithmetic expression linearly.
Apply the BODMAS rule (Bracket, Of, Division, Multiplication, Addition, Subtraction) strictly after substituting the operators to solve the arithmetic expression linearly.
Substitution
Replace the letters with their designated mathematical symbols: 24 S 4 R 3 P 10 Q 5 becomes 24 / 4 * 3 + 10тИТ5.
BODMASApplication
First, perform division: 24 / 4 = 6. The expression becomes 6 * 3 + 10тИТ5. Second, perform multiplication: 6 * 3 = 18. The expression becomes 18 + 10тИТ5.
Final Arithmetic
Perform addition: 18 + 10 = 28. Finally, perform subtraction: 28 - 5 = 23.
B: 20 is incorrect because it ignores the correct order of operations (BODMAS). C: 18 is incorrect as it fails to add the final term correctly. D: 15 is incorrect due to calculation error during the multiplication or subtraction phase.
A is correct because substituting the given operators results in the expression 24 / 4 * 3 + 10тИТ5, which equals 23 after applying standard BODMAS arithmetic rules.
Always perform Division and Multiplication from left to right as they appear; many students erroneously prioritize Multiplication over Division, which leads to calculation errors.