Question : The greatest fraction among $\frac{2}{3}, \frac{5}{6}, \frac{11}{15} \text{ and } \frac{7}{8} \text{ is:}$

Option 1: $\frac{7}{8}$

Option 2: $\frac{11}{15}$

Option 3: $\frac{5}{6}$

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

Question : If $\sec A - \tan A = p$, then find the value of $\sec A$.

Option 1: $\frac{p^2-1}{p^2+1}$

Option 2: $\frac{\mathrm{p}^2+1}{\mathrm{p}^2-1}$

Option 3: $\frac{\mathrm{p}^2+1}{\mathrm{p}}$

Option 4: $\frac{\mathrm{p}^2+1}{2 \mathrm{p}}$

Question : The total surface area of a cone whose radius is 3 cm and height is 4 cm is:

Option 1: $\frac{425}{7} \mathrm{~cm}^2$

Option 2: $\frac{501}{9} \mathrm{~cm}^2$

Option 3: $\frac{475}{8} \mathrm{~cm}^2$

Option 4: $\frac{528}{7} \mathrm{~cm}^2$

Question : $\frac{1}{3-\sqrt{8}}-\frac{1}{\sqrt{8}-\sqrt{7}}+\frac{1}{\sqrt{7}-\sqrt{6}}-\frac{1}{\sqrt{6}-\sqrt{5}}+\frac{1}{\sqrt{5}-2}=?$

Option 1: 5

Option 2: 4

Option 3: 3

Option 4: 2

Question : The heights of two right circular cones are in the ratio 1 : 5 and the perimeter of their bases are in the ratio 5 : 3. Find the ratio of their volumes.

Option 1: 8 : 11

Option 2: 7 : 6

Option 3: 5 : 9

Option 4: 3 : 4