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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? 44 A 4 C 12 B 2 D 1=?
32
33
31
34
34
Replace the letters with their respective arithmetic operators and follow the BODMAS rule (Division, Multiplication, Addition, Subtraction).
Replace the letters with their respective arithmetic operators and follow the BODMAS rule (Division, Multiplication, Addition, Subtraction).
Substitution
Replace A with ÷, B with ×, C with +, and D with - to get: 44 ÷ 4 + 12 × 2 - 1
BODMAS Order
Perform Division first: 44 ÷ 4 = 11. The equation becomes: 11 + 12 × 2 - 1
Multiplication
Perform Multiplication next: 12 × 2 = 24. The equation becomes: 11 + 24 - 1
Final Calculation
Perform Addition then Subtraction: 11 + 24 = 35; 35 - 1 = 34.
A: 32 is mathematically incorrect. B: 33 is incorrect. C: 31 is incorrect; the sequence of operations results in 34.
D is correct because following the BODMAS rule for the expression 44 ÷ 4 + 12 × 2 - 1 yields 11 + 24 - 1 = 34.
Always ensure you perform multiplication and division from left to right before addition and subtraction; common errors occur by calculating in the order they appear linearly.
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