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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? 85 A 17 C 82 D 11 B 2=?
66
65
67
68
65
Replace the letters with their corresponding operators (A:÷, B:×, C:+, D:-) and solve using BODMAS (Bracket, Of, Division, Multiplication, Addition, Subtraction).
Replace the letters with their corresponding operators (A:÷, B:×, C:+, D:-) and solve using BODMAS (Bracket, Of, Division, Multiplication, Addition, Subtraction).
Substitution
Replace the letters with their defined mathematical operations: A = ÷, B = ×, C = +, D = -. The equation becomes: 85 ÷ 17 + 82 - 11 × 2.
BODMAS Application
Follow BODMAS sequence: First perform Division and Multiplication. 85 ÷ 17 = 5 and 11 × 2 = 22. The equation simplifies to: 5 + 82 - 22.
Final Calculation
Perform Addition and Subtraction: 5 + 82 = 87, then 87 - 22 = 65.
A: 66 is incorrect as the calculation results in 65. C: 67 is incorrect because the arithmetic operations follow a strict order resulting in 65. D: 68 is incorrect as it deviates from the correct arithmetic solution.
B is correct because replacing the letters with their respective operators (85 ÷ 17 + 82 - 11 × 2) and solving via BODMAS yields exactly 65.
Always perform Multiplication and Division before Addition and Subtraction to avoid common calculation errors in this pattern of questions.
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