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If 'A' means 'addition', 'B' means 'subtraction', 'C' means 'division' and 'D' means 'multiplication', then what is the value of 24 D 2 A 18 C 6 B 9?
42
39
45
40
42
Substitute the symbols directly into the expression and apply BODMAS (Division and Multiplication first, followed by Addition and Subtraction).
Substitute the symbols directly into the expression and apply BODMAS (Division and Multiplication first, followed by Addition and Subtraction).
Step 1: Symbol Substitution
Replace each letter with its respective mathematical operator: D becomes *, A becomes +, C becomes /, and B becomes -. The expression 24 D 2 A 18 C 6 B 9 transforms into 24 * 2 + 18 / 6 - 9.
Step 2: Division and Multiplication
Evaluate multiplication and division operations from left to right. Calculate 24 * 2 = 48 and 18 / 6 = 3, simplifying the expression to 48 + 3 - 9.
Step 3: Addition and Subtraction
Perform addition and subtraction from left to right. First, add 48 + 3 = 51, then subtract 9 to get 51 - 9 = 42.
B: 39 is incorrect due to an arithmetic calculation error. C: 45 is incorrect because of improper order of operations handling. D: 40 is incorrect due to a failure in sequence evaluation.
A is correct because substituting the given operators and evaluating 24 * 2 + 18 / 6 - 9 using the BODMAS rule yields 42.
Always follow strict BODMAS/PEMDAS order of operations after substituting symbols to avoid common arithmetic traps.
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