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If 'A' means '+', 'B' means '-', 'C' means '×', and 'D' means '÷', then 12 C 4 A 8 D 2 B 5 = ?
48
51
53
55
51
Substitute the symbols with their respective mathematical operations directly and apply the BODMAS rule strictly.
Substitute the symbols with their respective mathematical operations directly and apply the BODMAS rule strictly.
Step 1: Substitute Symbols
Replace 'C' with '×', 'A' with '+', 'D' with '÷', and 'B' with '-' in the given expression: 12 C 4 A 8 D 2 B 5 becomes 12 × 4 + 8 ÷ 2 - 5.
Step 2: Apply Division (BODMAS)
Perform the division operation first: 8 ÷ 2 = 4. The expression updates to 12 × 4 + 4 - 5.
Step 3: Apply Multiplication
Perform the multiplication operation next: 12 × 4 = 48. The expression updates to 48 + 4 - 5.
Step 4: Perform Addition and Subtraction
First add 48 + 4 = 52, then subtract 5 to get 52 - 5 = 51.
A: 48 is wrong because it misses the final subtraction or addition steps. C: 53 is incorrect due to calculation errors in BODMAS order. D: 55 is incorrect because it overestimates the arithmetic result.
B is correct because replacing symbols and applying BODMAS strictly yields 12 × 4 + 8 ÷ 2 - 5 = 48 + 4 - 5 = 51.
Always follow the standard BODMAS or PEMDAS sequence carefully after substituting arithmetic symbols to avoid common calculation pitfalls.
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