Question : A six-digit number is divisible by 33. If 54 is added to the number, then the new number formed will also be divisible by:

Option 1: 3

Option 2: 2

Option 3: 5

Option 4: 7

Question : A 9-digit number $846523X7Y$ is divisible by 9 and $Y - X = 6$. Find the value of $\sqrt{2X+4Y}$.

Option 1: 4

Option 2: 2

Option 3: 6

Option 4: 8

Question : In a 7-digit number 89476*2, what is the smallest possible value of * such that the number is divisible by 8?

Option 1: 2

Option 2: 1

Option 3: 4

Option 4: 3

Question : If a 7-digit number 54p3987 is divisible by 11, then p is equal to:

Option 1: 5

Option 2: 9

Option 3: 4

Option 4: 1

Question : If $x=\sqrt[3]{28}, y=\sqrt[3]{27}$, then the value of $x+y-\frac{1}{x^{2}+xy+y^{2}}$ is:

Option 1: 8

Option 2: 7

Option 3: 6

Option 4: 5