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What will come in the place of '?' in the following equation, if '+' and '÷' are interchanged and '×' and '-' are interchanged? 9−2×20+4÷11=?
24
19
14
27
24
Follow BODMAS strictly after swapping the symbols: '+' becomes '÷', '÷' becomes '+', '×' becomes '-', and '-' becomes '×'.
Follow BODMAS strictly after swapping the symbols: '+' becomes '÷', '÷' becomes '+', '×' becomes '-', and '-' becomes '×'.
Symbol Substitution
Replace the operators as instructed: '-' becomes '×', '×' becomes '-', '+' becomes '÷', and '÷' becomes '+'. The expression 9 - 2 × 20 + 4 ÷ 11 changes to 9 × 2 - 20 ÷ 4 + 11.
Apply BODMAS
First, perform division: 20 ÷ 4 = 5. The equation becomes 9 × 2 - 5 + 11. Next, perform multiplication: 9 × 2 = 18. The equation becomes 18 - 5 + 11.
Final Arithmetic
Perform addition and subtraction: 18 - 5 = 13, and 13 + 11 = 24.
B: 19 is the result if order of operations is ignored. C: 14 is a potential error from incorrect symbol mapping. D: 27 is an error from adding instead of subtracting.
A is correct because applying the BODMAS rule to the transformed expression (9 * 2 - 20 / 4 + 11) yields exactly 24.
Always write the new expression clearly before calculating to avoid mixing up swapped symbols during the process.
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