Question : What is the value of $ \frac{2.5 \times 2.5+0.3 \times 0.3+5 \times 0.3}{1.6 \times 1.6+0.6 \times 0.6-1.2 \times 1.6} $?
Option 1: 7.64
Option 2: 8.64
Option 3: 2.8
Option 4: 7.84
Correct Answer: 7.84
Solution :
$\frac{2.5 \times 2.5+0.3 \times 0.3+5 \times 0.3}{1.6 \times 1.6+0.6 \times 0.6-1.2 \times 1.6}$
= $ \frac{2.5 \times 2.5+0.3 \times 0.3+2 \times 2.5 \times 0.3}{1.6 \times 1.6+0.6 \times 0.6-2 \times 0.6 \times 1.6}$
= $\frac{(2.5 + 0.3)^2}{(1.6-0.6)^2}$
= $\frac{2.8^2}{1.0^2}$
= $7.84$
Hence, the correct answer is 7.84.
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