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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? 34 D 54 C 18 A 18 B 324=?
202
204
404
304
304
Substitute the symbols into the equation first, then strictly apply the BODMAS rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction).
Substitute the symbols into the equation first, then strictly apply the BODMAS rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction).
Step 1: Substitute the given symbols
Replace letters with corresponding arithmetic operators in the expression: 34 D 54 C 18 A 18 B 324 becomes 34 - 54 + 18 / 18 * 324.
Step 2: Apply Division (BODMAS)
Perform the division operation first: 18 / 18 = 1. The equation updates to: 34 - 54 + 1 * 324.
Step 3: Apply Multiplication
Perform the multiplication next: 1 * 324 = 324. The equation updates to: 34 - 54 + 324.
Step 4: Perform Addition and Subtraction
Proceed from left to right: 34 - 54 = -20. Then, -20 + 324 = 304.
A: 202 is incorrect because it results from arithmetic calculation errors. B: 204 is incorrect due to wrong operator precedence handling. C: 404 is incorrect as it overestimates the addition/subtraction step.
D is correct because substituting the operators and strictly applying BODMAS (Division → Multiplication → Addition → Subtraction) yields exactly 304.
Always ensure you perform division and multiplication before addition and subtraction from left to right to avoid standard arithmetic traps.