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
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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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 –7 ÷ [5 + 1 ÷ 2 – {4 + (4 of 2 ÷ 4) + (4 ÷ 4 of 2)}] is:
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