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If '+' and '-' are interchanged and '×' and '÷' are interchanged, what is the value of 24 ÷ 6 × 3 + 12 - 8?
10
14
16
18
14
Replace each operator with its counterpart first, then evaluate using normal BODMAS left‑to‑right for × and ÷, then + and –.
Replace each operator with its counterpart first, then evaluate using normal BODMAS left‑to‑right for × and ÷, then + and –.
Interchange operators
Original: 24 ÷ 6 × 3 + 12 - 8. After swapping: ÷ ↔ × and + ↔ -, the expression becomes 24 × 6 ÷ 3 - 12 + 8.
Evaluate multiplication and division
24 × 6 = 144; then 144 ÷ 3 = 48.
Evaluate addition and subtraction
48 - 12 = 36; then 36 + 8 = 44.
A: 10 is too low; B: 14 does not match the computed 44; C: 16 is the result of the original expression without swapping; D: 18 is also incorrect.
None of the options match the correct result of 44.
In similar questions, first rewrite the whole expression after swapping symbols before doing any calculation to avoid mixing original and swapped operators.
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