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What will come in the place of the question mark '?' in the following equation, if '+' and '-' are interchanged and '×' and '÷' are interchanged? 10×5−13+4÷3=?
11
3
6
7
3
Apply BODMAS strictly after swapping symbols: '+' becomes '-', '-' becomes '+', '×' becomes '÷', and '÷' becomes '×'.
Apply BODMAS strictly after swapping symbols: '+' becomes '-', '-' becomes '+', '×' becomes '÷', and '÷' becomes '×'.
Symbol Swap
Replace operators: '×' becomes '÷', '−' becomes '+', '+' becomes '−', and '÷' becomes '×'. The equation 10 × 5 - 13 + 4 ÷ 3 becomes 10 ÷ 5 + 13 - 4 × 3.
BODMAS Calculation
Divide first: 10 / 5 = 2. Then multiply: 4 × 3 = 12. The expression simplifies to 2 + 13 - 12.
Final Solve
Perform addition: 2 + 13 = 15. Perform subtraction: 15 - 12 = 3.
A: 11 is incorrect based on the calculation; C: 6 is mathematically incorrect; D: 7 is mathematically incorrect.
B is correct because replacing the symbols and applying BODMAS (10 / 5 + 13 - 4 * 3 = 2 + 13 - 12) results in 3.
Always perform division and multiplication operations first before addition and subtraction; look closely at the interchanged operator definitions.
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