Question : If $X$ is 20% less than $Y$, then find the values of$\frac{Y–X}{Y}$ and $\frac{X}{X–Y}$.

Option 1: $\frac{1}{5}$ and $-4$

Option 2: $5$ and $-\frac{1}{4}$

Option 3: $\frac{2}{5}$ and $-\frac{5}{2}$

Option 4: $\frac{3}{5}$ and $-\frac{5}{3}$

Question : Simplify the given expression $\frac{(x^3-y^3)(x+y)}{x^2+x y+y^2}$.

Option 1: $x - y$

Option 2: $x^2-y^2$

Option 3: $x + y$

Option 4: $x^2+y^2$

Question : If $x=\operatorname{cosec \theta}-\sin\theta$ and $y=\sec\theta-\cos\theta$, then the relation between $x$ and $y$ is:

Option 1: $x^{2}+y^{2}+3=1$

Option 2: $x^{2}y^{2}\left ( x^{2}+y^{2}+3 \right )=1$

Option 3: $x^{2}\left ( x^{2}+y^{2}-5 \right )=1$

Option 4: $y^{2}\left ( x^{2}+y^{2}-5 \right )=1$

Question : If $x$ = $y$ = $z$, then $\frac{\left (x+y+z \right )^{2}}{x^{2}+y^{2}+z^{2}}$ is equal to:

Option 1: 4

Option 2: 2

Option 3: 3

Option 4: 1

Question : If $2 x+5 y=15$ and $x y=6$, then the value of $4 x^2+25 y^2$ is:

Option 1: 105

Option 2: 95

Option 3: 100

Option 4: 90