Question : If $4 x^2+y^2=40$ and $x y=6$, find the positive value of $2 x+y$.

Option 1: 8

Option 2: 6

Option 3: 5

Option 4: 4

Question : If $x$ and $y$ are positive numbers such that $x - y = 5$ and $xy = 150$, the value of $(x + y)$ is:

Option 1: 45

Option 2: 25

Option 3: 35

Option 4: 15

Question : If $(x-\frac{1}{3})^2+(y-4)^2=0$, then what is the value of $\frac{y+x}{y-x}$?

Option 1: $\frac{11}{13}$

Option 2: $\frac{13}{11}$

Option 3: $\frac{16}{9}$

Option 4: $\frac{9}{16}$

Question : If $x^{2}+y^{2}+z^{2}=14$ and $xy+yz+zx=11$, then the value of $(x+y+z)^{2}$ is:

Option 1: 16

Option 2: 25

Option 3: 36

Option 4: 49

Question : If $x-y=1$ and $x^2+y^2=41$ where $x, y \geq 0$, then the value of $x+y$ will be:

Option 1: 9

Option 2: 8

Option 3: 6

Option 4: 7