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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? 4 C 8 D 9 A 3 B 2=?
5
6
8
3
6
Replace letters with their defined operators, then solve using BODMAS (Bracket, Of, Division, Multiplication, Addition, Subtraction) in sequence.
Replace letters with their defined operators, then solve using BODMAS (Bracket, Of, Division, Multiplication, Addition, Subtraction) in sequence.
Symbol Replacement
Replace the letters with their respective arithmetic signs: A = ÷, B = ×, C = +, D = -. The equation 4 C 8 D 9 A 3 B 2 becomes 4 + 8 - 9 ÷ 3 × 2.
Apply BODMAS
Follow the order of operations: First perform division (9 ÷ 3 = 3), resulting in 4 + 8 - 3 × 2. Next, perform multiplication (3 × 2 = 6), resulting in 4 + 8 - 6.
Final Calculation
Add 4 and 8 to get 12. Finally, subtract 6 from 12 (12 - 6 = 6).
A: 5 is incorrect; C: 8 is incorrect; D: 3 is incorrect. All these values do not match the result of the calculated expression (6).
B is correct because replacing the letters with operators leads to 4 + 8 - 9 ÷ 3 × 2, which equals 12 - 6 = 6.
Always convert the entire expression first and verify the operation sequence (BODMAS); common errors occur by solving left-to-right ignoring multiplication/division priority.
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