Question : If $\left(3 y+\frac{3}{y}\right)=8$, then find the value of $\left(y^2+\frac{1}{y^2}\right)$.

Option 1: $5\frac{1}{9}$

Option 2: $4\frac{5}{6}$

Option 3: $7\frac{1}{9}$

Option 4: $9\frac{1}{9}$

Question : The value of $2 \frac{3}{5} \div\left[2 \frac{1}{3} \div\left\{4 \frac{1}{3}-\left(2 \frac{1}{2}+\frac{2}{3}\right)\right\}\right]$ is equal to:

Option 1: $1 \frac{3}{10}$

Option 2: $2 \frac{7}{10}$

Option 3: $2 \frac{3}{7}$

Option 4: $1 \frac{3}{7}$

Question : If $\left(4y-\frac{4}{y}\right)=11$, find the value of $\left(y^2+\frac{1}{y^2}\right)$.

Option 1: $7 \frac{9}{16}$

Option 2: $5 \frac{9}{16}$

Option 3: $9 \frac{11}{16}$

Option 4: $9 \frac{9}{16}$

Question : Find the value of the given expression.
$\left(2 \frac{1}{2}÷ 1 \frac{7}{8}\right) ÷\left(9 \frac{3}{8}÷ 11 \frac{2}{3} \text { of } \frac{1}{8}\right)$

Option 1: $\frac{33}{135}$

Option 2: $\frac{11}{135}$

Option 3: $\frac{28}{135}$

Option 4: $\frac{57}{135}$

Question : The value of $\left(\frac{2+7 \times 7 \div 9 \text { of } 9+6 \div 6 \times 2}{4 \div 4 \text { of } 5+7 \times 7 \div 7-6+4}\right)$ is:

Option 1: $\frac{1734}{2407}$

Option 2: $\frac{1865}{2106}$

Option 3: $\frac{1857}{2507}$

Option 4: $\frac{1664}{2305}$