Question : Simplify the given expression and find the value for $x=-1$.
$\frac{10 x^2+5 x+2 x y+y}{5 x+y}$

Option 1: –1

Option 2: 0

Option 3: 1

Option 4: 2

Question : Find the length of the arc if the angle at the centre of the circle of radius 7 units is 60°.

Option 1: $4$ units

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

Option 3: $\frac{22}{3}$ units

Option 4: $21$ units

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 $2 x+5 y=15$ 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