Question : What is the value of (A × B) if A = 7 × 21 ÷ 49 - 8 × 7 ÷ 16 and B = 12 ÷ 6 – 3 × 2 + 5 × 3.
Option 1: –7
Option 2: –4.5
Option 3: –6
Option 4: –5.5
Correct Answer: –5.5
Solution :
According to the question
A = 7 × 21 ÷ 49 - 8 × 7 ÷ 16
B = 12 ÷ 6 - 3 × 2 + 5 × 3
Now,
⇒ (A × B) = (7 × 21 ÷ 49 – 8 × 7 ÷ 16 ) × (12 ÷ 6 - 3 × 2 + 5 × 3)
= (3 – $\frac{7}{2}$) × (2 – 6 + 15)
= ($\frac{6 - 7}{2}$) × (– 4 + 15)
= ($\frac{ - 1}{2}$) × ( 11) = –5.5
Hence, the correct answer is –5.5.
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