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If 'A' stands for '×', 'B' stands for '÷', 'C' stands for '+' and 'D' stands for '−', what will come in place of the question mark '?' in the following equation? 12 D 15 B 3 C 6 A 5=?
34
36
37
31
37
Replace the letters with their corresponding operators (A:x, B:÷, C:+, D:-) and solve using the BODMAS rule (Division first, then Multiplication, Addition, and finally Subtraction).
Replace the letters with their corresponding operators (A:x, B:÷, C:+, D:-) and solve using the BODMAS rule (Division first, then Multiplication, Addition, and finally Subtraction).
Mapping Operators
Replace letters with arithmetic operators: 'A' = x, 'B' = ÷, 'C' = +, 'D' = -. The equation 12 D 15 B 3 C 6 A 5 becomes 12 - 15 ÷ 3 + 6 × 5.
BODMAS Application
Apply order of operations: First perform division (15 ÷ 3 = 5), then multiplication (6 × 5 = 30). The equation becomes 12 - 5 + 30.
Final Calculation
Solve addition and subtraction from left to right: 12 - 5 = 7, and 7 + 30 = 37.
A: 34 is incorrect as it results from miscalculating the order of operations. B: 36 is incorrect as it ignores the BODMAS structure. D: 31 is incorrect as it represents an arithmetic error in the final step.
C is correct because applying the BODMAS rule to the decoded equation 12 - 15 ÷ 3 + 6 × 5 leads to 12 - 5 + 30 = 37.
Always verify the hierarchy of operations (Division, Multiplication, Addition, Subtraction) in any expression involving multiple operators to avoid common sequence errors.