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What will come in the place of '?' in the following equation, if '+' and '÷' are interchanged and '×' and '-' are interchanged? 24+4−15÷2×12=?
70
90
100
80
80
Apply BODMAS after swapping operators. Replace '+' with '÷', '÷' with '+', '×' with '-', and '-' with '×'. Remember the sequence: Division, Multiplication, Addition, Subtraction.
Apply BODMAS after swapping operators. Replace '+' with '÷', '÷' with '+', '×' with '-', and '-' with '×'. Remember the sequence: Division, Multiplication, Addition, Subtraction.
Interchange Operators
Given swaps: '+' becomes '÷', '÷' becomes '+', '×' becomes '-', and '-' becomes '×'. The equation 24 + 4 - 15 ÷ 2 × 12 transforms to 24 ÷ 4 × 15 + 2 - 12.
Apply BODMAS
Following BODMAS: 24 ÷ 4 = 6. Next, multiply: 6 × 15 = 90. Then add: 90 + 2 = 92. Finally, subtract: 92 - 12 = 80.
A: 70 is incorrect arithmetic result. B: 90 is result of forgetting to perform the final subtraction. C: 100 is incorrect calculation.
D is correct because applying BODMAS rules (Division, Multiplication, Addition, Subtraction) to the transformed equation 24 ÷ 4 × 15 + 2 - 12 yields exactly 80.
Always verify the transformation first; misreading a single sign swap is the most common trap in arithmetic reasoning questions.
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