Question : Which of the following is correct?

Option 1: $\frac{2}{3}< \frac{3}{5}< \frac{11}{15}$

Option 2: $\frac{3}{5}< \frac{2}{3}< \frac{11}{15}$

Option 3: $\frac{11}{15}< \frac{3}{5}< \frac{2}{3}$

Option 4: $\frac{3}{5}< \frac{11}{15}< \frac{2}{3}$

Question : If $x+y=5$, $x^{3}+ y^{3}=35$, what is the positive difference between $x$ and $y$?

Option 1: 0

Option 2: 1

Option 3: 5

Option 4: 6

Question : If $5 \sin^2 A+3 \cos^2 A=4$, $0<A<90°$, then what is the value of $\tan A$?

Option 1: 0

Option 2: 3

Option 3: 1

Option 4: 2

Question : If $x+ \sqrt{5} = 5+\sqrt{y}$ are positive integers, then the value of $\frac{\sqrt{x}+y}{x+ \sqrt{y}}$ is:

Option 1: 1

Option 2: 2

Option 3: $\sqrt{5}$

Option 4: 5

Question : If the numbers $\sqrt[3]{9}, \sqrt[4]{20}$ and $\sqrt[6]{25}$ are arranged in ascending order, then the right arrangement is:

Option 1: $\sqrt[6]{25}<\sqrt[4]{20}< \sqrt[3]{9}$

Option 2: $\sqrt[3]{9}<\sqrt[4]{20}<\sqrt[6]{25}$

Option 3: $\sqrt[4]{20}<\sqrt[6]{25}<\sqrt[3]{9}$

Option 4: $\sqrt[6]{25}<\sqrt[3]{9}<\sqrt[4]{20}$