Question : If $\cos\theta=\frac{3}{5}$, then the value of $\sin\theta.\sec\theta.\tan\theta$ is:

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

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

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

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

Question : Directions: The price of an article has been reduced by 25%. To restore the original price, the new price must be increased by?

Option 1: $11\frac{1}{9}\%$

Option 2: $66\frac{2}{3}\%$

Option 3: $9\frac{1}{11}\%$

Option 4: $33\frac{1}{3}\%$

Question : If $16 y^2-k=\left(4 y+\frac{3}{2}\right)\left(4 y-\frac{3}{2}\right)$, then the value of $k$ is:

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

Option 2: $\frac{11}{4}$

Option 3: $\frac{6}{4}$

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

Question : The price of almonds is increased by 10%. By what percentage should the consumption be decreased so that the expenditure remains the same?

Option 1: $9 \frac{1}{11} \%$

Option 2: $5 \frac{3}{11} \%$

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

Option 4: $10 \frac{3}{11} \%$

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: $\frac{2}{3}$