Question : Find the value of $\frac{(243)^{\frac{n}{5}}\times 3^{2n+1}}{9^{n}\times 3^{n-1}}$.

Option 1: 3

Option 2: 9

Option 3: 27

Option 4: 4

Question : The value of $\frac{(243)^\frac{n}{5}\times 3^{2n+1}}{9^{n}\times 3^{n-1}}$ is:

Option 1: 3

Option 2: 9

Option 3: 6

Option 4: 12

Question : If $1 \frac{1}{3} \div \frac{2}{5} \times \frac{x}{5}=1 \frac{1}{4} \times \frac{2}{3} \div \frac{1}{6}$, then the value of $x$ is:

Option 1: 5.5

Option 2: 7.5

Option 3: 7.0

Option 4: 15

Question : If $\cot \theta=\frac{4}{3}, 0<\theta<\frac{\pi}{2}$, and $5 p \cos ^2 \theta \sin \theta=\cot ^2 \theta$, then the value of $p$ is:

Option 1: $\frac{7}{27}$

Option 2: $\frac{125}{27}$

Option 3: $\frac{5}{27}$

Option 4: $\frac{25}{27}$

Question : The value of $\frac{0.325 \times 0.325+0.175 \times 0.175+25 \times 0.00455}{5 \times 0.0065 \times 3.25-7 \times 0.175 \times 0.025}+\frac{0.5}{1.5}$ is:

Option 1: $3$

Option 2: 0

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

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