Question : If $\sqrt{0.04\times 0.4\times a}=0.004\times 0.4\times \sqrt{b},$ then the value of $\frac{a}{b}$ is:

Option 1: $16\times 10^{-3}$

Option 2: $16\times 10^{-4}$

Option 3: $16\times 10^{-5}$

Option 4: $16 \times 10^{-6}$

Question : The simplified value of $\frac{(0.0539 -0.002)×0.4+ 0.56 × 0.07}{0.04×0.25}=?$

Option 1: 59.96

Option 2: 0.5996

Option 3: 5.996

Option 4: 599.6

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 simplified value of (0.2)³ × 400 ÷ 2000 of (0.2)² is:

Option 1: $\frac{1}{25}$

Option 2: $\frac{3}{25}$

Option 3: $\frac{2}{25}$

Option 4: $\frac{1}{50}$

Question : The value of $\sqrt {10 ^{-6} \times 0.25 }$.

Option 1: 0.0025

Option 2: 0.0005

Option 3: 0.25

Option 4: 0.50