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If 'I' stands for '+', 'J' stands for '├Ч', 'K' stands for '├╖', and 'L' stands for '-', what will be come in place of the question mark '?' in the following equation? 148┬аI┬а104┬аL┬а126┬аI┬а(76┬аK┬а2)┬аI┬а(11┬аJ┬а3)┬аL┬а55=?
168
154
122
142
142
Apply the BODMAS rule strictly: perform operations inside brackets (K for divide, J for multiply) first, then solve the remaining sequence from left to right.
Apply the BODMAS rule strictly: perform operations inside brackets (K for divide, J for multiply) first, then solve the remaining sequence from left to right.
Mapping the symbols to operators
Replace letters with their given operators: I = +, J = *, K = /, L = -. The expression becomes: 148 + 104 - 126 + (76 / 2) + (11 * 3) - 55
Resolving brackets (BODMAS Step 1)
Solve the parentheses: (76 / 2) = 38 and (11 * 3) = 33. The expression is now: 148 + 104 - 126 + 38 + 33 - 55
Calculating the final result
Perform addition and subtraction from left to right: (148 + 104) = 252; (252 - 126) = 126; (126 + 38) = 164; (164 + 33) = 197; (197 - 55) = 142.
A: 168 is incorrect because it fails to calculate the result of the arithmetic operations properly. B: 154 is incorrect as it deviates from the correct BODMAS calculation result. C: 122 is incorrect as it does not match the final calculated value of 142.
D is correct because 148 + 104 - 126 + 38 + 33 - 55 evaluates sequentially to 142.
In mixed arithmetic-coding questions, always resolve the parentheses first before simplifying the rest of the equation to avoid order-of-operation errors.