If ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged, which of the following equations becomes correct?
A. 24 × 6 − 3 ÷ 2 + 1 = 11
B. 18 × 6 + 2 ÷ 3 − 9 = 4
C. 15 + 5 ÷ 2 − 4 × 2 = 9
D. 20 − 4 × 2 + 3 ÷ 5 = 7
A. 24 × 6 − 3 ÷ 2 + 1 = 11
B. 18 × 6 + 2 ÷ 3 − 9 = 4
C. 15 + 5 ÷ 2 − 4 × 2 = 9
D. 20 − 4 × 2 + 3 ÷ 5 = 7
Best answer
Answer: D. 20 − 4 × 2 + 3 ÷ 5 = 7
Answer: (D) 20 − 4 × 2 + 3 ÷ 5 = 7
Apply the interchange to each option and evaluate by BODMAS.
\(20 + 4 \div 2 - 3 \times 5\) = 7 ✓ (matches the right side)
\(24 \div 6 + 3 \times 2 - 1\) = 9, not 11
\(18 \div 6 - 2 \times 3 + 9\) = 6, not 4
\(15 - 5 \times 2 + 4 \div 2\) = 7, not 9
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