Question : If $\small x+y+z=6$ and $xy+yz+zx=10$, then the value of $x^{3}+y^{3}+z^{3}-3xyz$ is:

Option 1: 36

Option 2: 48

Option 3: 42

Option 4: 40

Question : If $x+y=4, x^{2}+y^{2}=14$ and $x>y$, then the correct value of $x$ and $y$ is:

Option 1: $2+\sqrt{3} \text{ and } 2-\sqrt{3}$

Option 2: $2-\sqrt{2} \text{ and } \sqrt{3}$

Option 3: $3 \text{ and } 1$

Option 4: $2+\sqrt{3} \text{ and } 2\sqrt{2}$

Question : If $x^2+\frac{1}{x^2}=4$, then what is the value of $x^4+\frac{1}{x^4}$?

Option 1: 16

Option 2: 14

Option 3: 12

Option 4: 20

Question : If 8% of $x$ = 4% of $y$, then 20% of $x$ is:

Option 1: 10% of $y$

Option 2: 16% of $y$

Option 3: 40% of $y$

Option 4: 80% of $y$

Question : If $x+y+z=13$ and $x^2+y^2+z^2=69$, then $xy+z(x+y)$ is equal to:

Option 1: 70

Option 2: 40

Option 3: 50

Option 4: 60