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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? (14 B 4) A 2 C (15 A 5) B 9 D 34 C (48 A 6) B 2=?
17
45
22
37
37
Solve the bracketed segments first, then apply BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction) by replacing letters with given operators.
Solve the bracketed segments first, then apply BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction) by replacing letters with given operators.
Mapping Operators
Replace letters with symbols: A → /, B → *, C → +, D → -. The expression becomes: (14 * 4) / 2 + (15 / 5) * 9 - 34 + (48 / 6) * 2.
Solving Brackets
Evaluate the terms in brackets: (14*4)=56, (15/5)=3, (48/6)=8. Expression: 56 / 2 + 3 * 9 - 34 + 8 * 2.
Applying BODMAS
Divide and Multiply: 28 + 27 - 34 + 16. Summing positive terms (28 + 27 + 16) gives 71, then 71 - 34 = 37.
A: 17 is incorrect arithmetic, B: 45 is incorrect arithmetic, C: 22 is incorrect arithmetic.
D is correct because the final result of the expression (14*4)/2 + (15/5)*9 - 34 + (48/6)*2 simplifies to 28 + 27 - 34 + 16 = 37.
Always evaluate bracketed groups first in complex logical expressions to avoid order-of-operation errors.
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