Number Play

If a number $M$ is a multiple of $3$, then the sum of its digits must be a multiple of which number?

Is $2024$ a multiple of $4$?

If $z5$ is a multiple of $5$, what are the possible values for the digit $z$?

Which of the following numbers is a multiple of $11$?

If the number $1A2B$ is a multiple of both $5$ and $10$, what is the value of digit $B$?

If $123x$ is a multiple of $4$, find the largest possible digit for $x$.

If the number $81y$ is a multiple of $9$ and $2$, find the digit $y$.

If the number $5x723y$ is divisible by 88, find the value of $x - y$.

The three-digit number $x72$ is a multiple of 8. Find the largest possible value of $x$.

If $2A3B$ is a four-digit number divisible by 11 and $A + B = 10$, find the value of $A$.

What is the smallest digit $x$ that makes the number $24x$ divisible by $9$?

Is $99$ divisible by $9$?

What is the sum of the digits of $99$?

To check if a number is divisible by $8$, we check how many of its last digits?

The number $a32$ is divisible by $11$. What is the value of $a$?

If $5y2$ is divisible by $4$, what is the digit sum of all possible values of $y$?

Find $x$ if $x72$ is divisible by $8$ and $x$ is a non-zero digit.

If the 5-digit number $2a34b$ is the smallest number divisible by 88, find $a^2 + b^2$.

If $N$ is a number such that $N \div 5$ leaves remainder 3 and $N \div 2$ leaves remainder 1, what is the last digit of $N$?

A 4-digit number $x67y$ is divisible by 9. If the number is also divisible by 5 but not by 10, find $x$.

If $N$ is a number such that $N = 100x + 10y + z$, what is the digit in the tens place?

What digit should replace the star in $4*2$ to make it divisible by $9$?

In the subtraction $BA - AB = 9$, find the value of $B - A$.

If $A = 5$ and $B = 2$, then $100A + 10B$ equals...

What is the generalized form of a 3-digit number with digits $x, y, z$ at hundreds, tens, and units places respectively?

A 2-digit number $10a + b$ is equal to its reverse $10b + a$ only if:

In a cryptarithmetic problem, if $A + A = A$, what must be the value of $A$?

The 3-digit number $abc$ is 25 times the sum of its digits. If $a=1$, what is the number?

If $8A5$ is divisible by 9, and $B2$ is divisible by 4, what is the maximum value of $A \times B$?

How many digits $n$ satisfy the condition that the 3-digit number $12n$ is divisible by both 2 and 3?