Question : The arrangement of the fractions $\frac{4}{3}, -\frac{2}{9}, -\frac{7}{8}, \frac{5}{12}$ in ascending order is _____.

Option 1: $–\frac{7}{8}, –\frac{2}{9}, \frac{5}{12}, \frac{4}{3}$

Option 2: $–\frac{7}{8}, –\frac{2}{9}, \frac{4}{3}, \frac{5}{12}$

Option 3: $–\frac{2}{9}, –\frac{7}{8}, \frac{5}{12}, \frac{4}{3}$

Option 4: $–\frac{2}{9}, –\frac{7}{8}, \frac{4}{3}, \frac{5}{12}$

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 sum of the first five terms of the following series: $\frac{1}{1×4} + \frac{1}{4×7}+\frac{1}{7×10}+...$

Option 1: $\frac{9}{32}$

Option 2: $\frac{7}{16}$

Option 3: $\frac{5}{16}$

Option 4: $\frac{1}{210}$

Question : Find the value of the given expression:
$\frac{(4\frac{1}{3}+3\frac{1}{3}\times 1\frac{4}{5}\div 3\frac{3}{4}\times (1\frac{1}{2}+1\frac{1}{3}))}{(\frac{2}{3}\div \frac{5}{6}\times \frac{2}{3})}$

Option 1: $11 \frac{3}{8}$

Option 2: $10\frac{1}{8}$

Option 3: $14\frac{3}{8}$

Option 4: $16\frac{5}{8}$

Question : If $\sqrt{\frac{\mathrm{a}}{\mathrm{b}}}=\frac{8}{3}-\sqrt{\frac{\mathrm{b}}{\mathrm{a}}}$ and $a-b=10$, then the value of $ab$ is:

Option 1: $32 \frac{1}{7}$

Option 2: $32 \frac{3}{7}$

Option 3: $32 \frac{4}{7}$

Option 4: $32 \frac{2}{7}$