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If 'A' stands for '├╖', 'B' stands for '├Ч', 'C' stands for '+', and 'D' stands for '-', what will come in place of the question mark '?' in the following equation? 225┬аB┬а15┬аA┬а15┬аC┬а125┬аD┬а225=?
125
115
135
105
125
Directly replace the letters with their corresponding arithmetic symbols according to BODMAS rule: A = /, B = *, C = +, D = -.
Directly replace the letters with their corresponding arithmetic symbols according to BODMAS rule: A = /, B = *, C = +, D = -.
Step 1: Replace Letters with Mathematical Symbols
Given equation: 225 B 15 A 15 C 125 D 225 =?. Substituting the given operators (A = /, B = *, C = +, D = -), the equation becomes: 225 * 15 / 15 + 125 - 225.
Step 2: Apply BODMAS Rule (Division & Multiplication)
First perform multiplication and division from left to right: 225 * (15 / 15) = 225 * 1 = 225.
Step 3: Perform Addition and Subtraction
Substitute back into the expression: 225 + 125 - 225 = 350 - 225 = 125.
B: 115 is incorrect because the arithmetic evaluation strictly yields 125. C: 135 is incorrect due to calculation error in addition/subtraction. D: 105 is incorrect because it deviates from the correct BODMAS sequence.
A is correct because substituting the given operators and applying the BODMAS rule evaluates 225 * 15 / 15 + 125 - 225 to 125.
Always execute division and multiplication before addition and subtraction when solving substituted mathematical equations to avoid order of operation errors.
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