Divisibility by 9

Q.

Test the divisibility of the following numbers by $11$.

$2784$

Q. I am an even number. The sum of the digits is divisible by 9. I am also a multiple of 15, but I am less than 100. Who am I?

Q. Which of the following pair of numbers is not divisible by $9.$

1. $225,631$
2. $532,304$
3. $243,234$
4. $711,585$

Q. A pizza restaurant receives an order for 297 pizzas. How many cooks should be assigned to this task if each cook prepares an equal number of pizzas?

1. Only 3
2. Only 5
3. Only 9
4. 3 or 9

Q. If the number $5x924$ is divisible by 9 and 4, then it must be divisible by $3y$. The value of $x+y$ is

1. 13
2. 14
3. 15
4. None of the above.

Q. Choose the digit(s) that can fill in the blank of a four-digit number $\underset{–}{}531$ to make it divisible by $9.$

1. $0$
2. $1$
3. $6$
4. $9$