Question : If $b=5$, determine the value of an expression $\left(\frac{5}{b}+5b\right)\left(\frac{25}{b^{2}}-25+25 b^2\right)$ using an identity.

Option 1: 25,726

Option 2: 15,626

Option 3: 15,438

Option 4: 25,636

Question : The value of
$51 \div\left\{25+(25\right.$ of $12 \div 30)-\left(5^4 \div 5\right.$ of 125$\left.)\right\}$ is:

Option 1: $\frac{2}{3}$

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

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

Option 4: $-\frac{3}{2}$

Question : The value of $\left(2 \frac{6}{7}\right.$ of $\left.4 \frac{1}{5} \div \frac{2}{3}\right) \times 5 \frac{1}{9} \div\left(\frac{3}{4} \times 2 \frac{2}{3}\right.$ of $\left.\frac{1}{2} \div \frac{1}{4}\right)$ is:

Option 1: 25

Option 2: 19

Option 3: 23

Option 4: 21

Question : If $M =\left ( \frac{3}{7} \right ) ÷ \left ( \frac{6}{5} \right ) ×\left ( \frac{2}{3} \right ) + \left ( \frac{1}{5} \right ) ×\left ( \frac{3}{2} \right )$ and $N = \left ( \frac{2}{5} \right ) × \left ( \frac{5}{6} \right ) ÷ \left ( \frac{1}{3} \right ) + \left ( \frac{3}{5} \right ) × \left ( \frac{2}{3} \right ) ÷ \left ( \frac{3}{5} \right )$,
then what is the value of $\frac{M}{N}$?

Option 1: $\frac{207}{560}$

Option 2: $\frac{339}{1120}$

Option 3: $\frac{113}{350}$

Option 4: $\frac{69}{175}$

Question : The value of $\left(1 \frac{1}{3} \div 2 \frac{6}{7}\right.$ of $\left.5 \frac{3}{5}\right) \times\left(6 \frac{2}{5} \div 4 \frac{1}{2}\right.$ of $\left.5 \frac{1}{3}\right) \div\left(\frac{3}{4} \times 2 \frac{2}{3} \div \frac{5}{9}\right.$ of $\left.1 \frac{1}{5}\right)=k$, where $\mathrm{k}$ lies between:

Option 1: 0.07 and 0.08

Option 2: 0.007 and 0.008

Option 3: 0.0007 and 0.0008

Option 4: 0.7 and 0.8

Question : If $\sec \theta+\tan \theta=5, (\theta \neq 0)$, then $\sec \theta$ is equal to:

Option 1: $\left(5+\frac{1}{5}\right)$

Option 2: $\frac{1}{2}\left(3+\frac{1}{3}\right)$

Option 3: $\frac{1}{2}\left(5+\frac{1}{5}\right)$

Option 4: $\left(3+\frac{1}{3}\right)$