Question : If a nine-digit number 785$x$3678$y$ is divisible by 72, then the value of ($x$ + $y$) is:

Option 1: 20

Option 2: 12

Option 3: 10

Option 4: 5

Question : If a 4-digit number x58y is exactly divisible by 9, then the least value of (x + y) is:

Option 1: 4

Option 2: 5

Option 3: 3

Option 4: 2

Question : If the six-digit number 5x2y6z is divisible by 7, 11 and 13, then the value of $(x-y+3 z)$ is:

Option 1: 7

Option 2: 4

Option 3: 0

Option 4: 9

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 $x^2+8 y^2+12 y-4 x y+9=0$, then the value of $(7 x+8 y)$ is:

Option 1: –33

Option 2: 9

Option 3: 33

Option 4: –9