Question : If the difference between the average of $x, y$ and $y, z$ is 12, then the difference between $x$ and $z$ is:

Option 1: 24

Option 2: 48

Option 3: 12

Option 4: 6

Question : If the difference between the average of x, y and y, z is 12, then the difference between x and z is:

Option 1: 24

Option 2: 48

Option 3: 12

Option 4: 6

Question : If $x+y+z=13,x^2+y^2+z^2=133$ and $x^3+y^3+z^3=847$, then the value of $\sqrt[3]{x y z}$ is:

Option 1: $8$

Option 2: $7$

Option 3: $-9$

Option 4: $-6$

Question : If $x+y+z=17, x y z=171$ and $x y+y z+z x=111$, then the value of $\sqrt[3]{\left(x^3+y^3+z^3+x y z\right)}$ is:

Option 1: –64

Option 2: 4

Option 3: 0

Option 4: –4

Question : If $x+y+z=19, x y z=216$ and $x y+y z+z x=114$, then the value of $\sqrt{x^3+y^3+z^3+x y z}$ is:

Option 1: 32

Option 2: 30

Option 3: 28

Option 4: 35

Question : If $x+y+z=19, x y z=216$ and $x y+y z+z x=114$, then the value of $x^3+y^3+z^3+x y z$ is:

Option 1: 1225

Option 2: 1441

Option 3: 361

Option 4: 577