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Question : The value of $\frac{0.325 \times 0.325+0.175 \times 0.175+25 \times 0.00455}{5 \times 0.0065 \times 3.25-7 \times 0.175 \times 0.025}-\frac{0.5}{1.5}$ is:

Option 1: –3

Option 2: 3

Option 3: –1

Option 4: 0


Team Careers360 8th Jan, 2024
Answer (1)
Team Careers360 21st Jan, 2024

Correct Answer: 3


Solution : $\frac{0.325 \times 0.325+0.175 \times 0.175+25 \times 0.00455}{5 \times 0.0065 \times 3.25-7 \times 0.175 \times 0.025}-\frac{0.5}{1.5}$
$=\frac{0.325^2+0.175^2+2 \times 0.325 \times0.175}{0.325^2-0.175^2}-\frac{0.5}{1.5}$
$=\frac{(0.325+0.175)^2}{(0.325+0.175)(0.325-0.175)}-\frac{0.5}{1.5}$
$=\frac{(0.325+0.175)}{(0.325-0.175)}-\frac{0.5}{1.5}$
$=\frac{(0.5)}{(0.15)}-\frac{0.5}{1.5}$
$=\frac{10}{3}-\frac{1}{3}$
$=3$
Hence, the correct answer is 3.

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