Question : If the 9-digit number 97x4562y8 is divisible by 88, what is the value of $\left(x^2+y^2\right)$ for the smallest value of y, given that x and y are natural numbers?

Option 1: 64

Option 2: 68

Option 3: 76

Option 4: 80

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 $\frac{x}{4 y}=\frac{3}{4}$ then, the value of $\frac{2 x+3 y}{x–2 y}$ is:

Option 1: 7

Option 2: 9

Option 3: 6

Option 4: 8

Question : If $\frac{x^{3}+3y^{2}x}{y^{3}+3x^{2}y}=\frac{35}{19}$, what is $\frac{x}{y} =?$

Option 1: $\frac{7}{6}$

Option 2: $\frac{5}{6}$

Option 3: $\frac{5}{1}$

Option 4: $\frac{7}{1}$

Question : If the six-digit number 479xyz is exactly divisible by 7, 11, and 13, then {(y + z) ÷ x} is equal to:

Option 1: $4$

Option 2: $\frac{11}{9}$

Option 3: $\frac{7}{13}$

Option 4: $\frac{13}{7}$