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If '×' means 'addition', '+' means 'subtraction', '−' means 'division' and '÷' means 'multiplication', then what will come in place of the question mark (?) in the following equation? 14 + 1 ÷ 7 × 32 − 8 = ?
12
11
14
13
11
Convert symbols immediately and apply BODMAS strictly. Since division is defined as subtraction, look for the division-first priority (in original: 1/7) which often simplifies to a whole number in such competitive MCQs.
Mathematical symbols defined: × is +, + is -, - is /, / is ×. Expression to solve: 14 + 1 / 7 × 32 - 8 = ?
BODMAS=(Bracket,Of,Division,Multiplication,Addition,Subtraction)
Convert symbols immediately and apply BODMAS strictly. Since division is defined as subtraction, look for the division-first priority (in original: 1/7) which often simplifies to a whole number in such competitive MCQs.
Students often apply standard BODMAS to the raw numbers before replacing symbols, or fail to prioritize the newly defined division (original subtraction) and multiplication (original division).
Symbol Replacement
Replace original symbols based on: '+' → '-', '÷' → '×', '×' → '+', '-' → '÷'. The equation becomes 14 - 1 × 7 + 32 ÷ 8.
14−1×7+32÷8
Applying BODMAS
First, perform division: 32 ÷ 8 = 4. The expression becomes 14 - 1 × 7 + 4.
14−1×7+4
Performing Multiplication
Perform multiplication: 1 × 7 = 7. The expression becomes 14 - 7 + 4.
14−7+4
Performing Addition and Subtraction
Solve addition and subtraction left to right: 14 - 7 = 7, then 7 + 4 = 11.
7+4=11
B is correct because replacing the symbols and applying the BODMAS order of operations yields 11.
This logic is identical to evaluating complex Boolean expressions or programming code execution order in Computer Science aptitude sections.
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