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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? 3 B 2 D 12 A 4 C 3 = ?
6
8
12
4
6
Apply BODMAS rules sequentially: prioritize Division (A), then Multiplication (B), followed by Addition (C) and Subtraction (D).
Apply BODMAS rules sequentially: prioritize Division (A), then Multiplication (B), followed by Addition (C) and Subtraction (D).
Mapping the symbols
Replace letters with their given mathematical operations: A = ÷, B = ×, C = +, D = -. The equation 3 B 2 D 12 A 4 C 3 becomes 3 × 2 - 12 ÷ 4 + 3.
Applying BODMAS
First, perform division: 12 ÷ 4 = 3. The expression becomes 3 × 2 - 3 + 3. Next, perform multiplication: 3 × 2 = 6. The expression becomes 6 - 3 + 3.
Final Calculation
Solve addition and subtraction from left to right: 6 - 3 = 3, then 3 + 3 = 6.
B: 8 is incorrect as the sequence leads to 6, C: 12 is incorrect due to failure to follow order of operations, D: 4 is incorrect as it results from miscalculating the arithmetic sequence.
A is correct because substituting the operators according to BODMAS results in 6: 3 * 2 - (12 / 4) + 3 = 6 - 3 + 3 = 6.
Always ensure you perform division and multiplication before addition and subtraction; many candidates make mistakes by solving the equation strictly from left to right without BODMAS.
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