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: 0
Option 3: $\frac{7}{3}$
Option 4: $\frac{11}{3}$
Correct Answer: $\frac{11}{3}$
Solution : Given: $\frac{0.325 \times 0.325+0.175 \times 0.175+25 \times 0.00455}{5 \times 0.0065 \times 3.25-7 \times 0.175 \times 0.025}+\frac{0.5}{1.5}$ $=\frac{(0.325)^2 \times(0.175)^2+2 \times 0.0325\times0.175}{0.0325\times3.25- 0.225 \times 1.025}+\frac{0.5}{1.5}$ $=\frac{(0.325+0.175)^2}{0.325\times0.325- 0.175 \times0.175}+\frac{0.5}{1.5}$ $=\frac{(0.325+0.175)^2}{(0.325)^2(0.175)^2}+\frac{0.5}{1.5}$ $=\frac{(0.325+0.175)^2}{(0.325+0.175)(0.325-0.175)}+\frac{0.5}{1.5}$ $=\frac{(0.325+0.175)}{(0.325-0.175)}+\frac{0.5}{1.5}$ $=\frac{0.5}{0.15}+\frac{0.5}{1.5}$ $=\frac{5+0.5}{1.5}$ $=\frac{5.5}{1.5}$ $=\frac{11}{3}$ Hence, the correct answer is $\frac{11}{3}$.
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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:
Question : The value of $\frac{0.325 \times 0.325+0.175 \times 0.175-25 \times 0.00455}{5 \times 0.0065 \times 3.25-7 \times 0.175 \times 0.025}$ lies between:
Question : The value of $\frac{\frac{5}{2}-\frac{3}{7} \times 1 \frac{4}{5} \div 3 \frac{6}{7}}{\frac{3}{2}+1 \frac{2}{5} \div 3 \frac{1}{2} \times 1 \frac{1}{4}}$ is:
Question : $\frac{3.25\times 3.25+1.75\times 1.75-2\times 3.25\times 1.75}{3.25\times 3.25-1.75\times 1.75}$ is simplified to:
Question : The value of $\left(5 \frac{1}{4} \div \frac{3}{7}\right.$ of $\left.\frac{1}{2}\right) \div\left(5 \frac{1}{9}-7 \frac{7}{8} \div 9 \frac{9}{20}\right) \times \frac{11}{21}-\left(5 \div 2\right.$ of $\left.\frac{1}{2}\right)$ is:
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