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If ‘+’ means ‘−’, ‘−’ means ‘×’, ‘×’ means ‘÷’, ‘÷’ means ‘+’, then what will come in place of the question mark (?) in the following equation?
188 ÷ 11 − 16 + 234 × 18 = ?
351
360
343
328
351
Given: Original equation: 188 ÷ 11 − 16 + 234 × 18 = ? Symbol replacements: '+' → '−', '−' → '×', '×' → '÷', '÷' → '+'
Original equation: 188 ÷ 11 − 16 + 234 × 18 = ? Symbol replacements: '+' → '−', '−' → '×', '×' → '÷', '÷' → '+'
BODMAS: Brackets → Orders → Division → Multiplication → Addition → Subtraction
Replace signs and immediately calculate the divisions first: 234÷18=13, then multiply 11×16=176. Result is simply 188+176−13=351.
Performing addition before subtraction without grouping terms correctly (e.g., subtracting (176+13) instead of adding 176 first), or replacing signs incorrectly.
Replace the mathematical operators
Substitute each original sign with its newly defined meaning: '÷' becomes '+', '−' becomes '×', '+' becomes '−', and '×' becomes '÷'.
Original: 188÷11−16+234×18 New: 188+11×16−234÷18
Perform Division according to BODMAS
Divide 234 by 18 first.
234÷18=13
Perform Multiplication according to BODMAS
Multiply 11 by 16.
11×16=176
Perform Addition and Subtraction
Substitute the evaluated terms back into the expression and solve sequentially from left to right.
188+176−13=364−13=351
Option A is correct because substituting the given operators and evaluating using the BODMAS rule yields 351.
In competitive exams like RRB ALP, always write down the newly substituted signs above the original expression on your rough sheet to avoid silly sign conversion errors.