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:
Option 1: 0.35 and 0.45
Option 2: 0.15 and 0.25
Option 3: 0.25 and 0.35
Option 4: 0.05 and 0.15
Correct Answer: 0.25 and 0.35
Solution : Given: $\frac{0.325 \times 0.325+0.175 \times 0.175-25 \times 0.00455}{5 \times 0.0065 \times 3.25-7 \times 0.175 \times 0.025}$ $=\frac{0.325 \times 0.325+0.175 \times 0.175-2 \times 0.325\times0.175}{(0.325)^2- (0.175)^2 }$ $=\frac{(0.325 -0.175)^2}{(0.325+0.175)(0.325-0.175) }$ $=\frac{(0.325 -0.175)}{(0.325+0.175) }$ $=0.3$ Hence, the correct answer is 0.25 and 0.35.
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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: 0
Option 3: $\frac{7}{3}$
Option 4: $\frac{11}{3}$
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
Question : The value of $\frac{\left(1 \frac{1}{9} × 1 \frac{1}{20} ÷ \frac{21}{38}-\frac{1}{3}\right) ÷\left(2 \frac{4}{9} ÷ 1 \frac{7}{15} \text { of } \frac{3}{5}\right)}{\frac{1}{5} \text { of } \frac{1}{5} ÷ \frac{1}{125}-\frac{1}{25} ÷ \frac{1}{5} \text { of } \frac{1}{5}}$ lies between ____.
Option 1: 0.1 and 0.15
Option 2: 0.2 and 0.25
Option 3: 0.15 and 0.2
Option 4: 0.25 and 0.3
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:
Option 1: $2 \frac{3}{20}$
Option 2: $1\frac{2}{20}$
Option 3: $1 \frac{3}{20}$
Option 4: $1 \frac{7}{20}$
Question : The value of $\frac{\frac{1}{3}+[4 \frac{3}{4}–(3 \frac{1}{6}–2 \frac{1}{3})]}{(\frac{1}{5} \text { of } \frac{1}{5} \div \frac{1}{5}) \div(\frac{1}{5} \div \frac{1}{5} \times \frac{1}{5})}$ lies between:
Option 1: 10.2 and 10.8
Option 2: 4.2 and 4.4
Option 3: 8.2 and 8.8
Option 4: 0.4 and 0.9
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