Divisibility Tests

A five digit number $xy235$ is divisible by $3$ such that $x+y<5$ , where $x$ and $y$ are single digits, then possible values of $(x,y)$ are _____.

If $100c+10b+a$ is divisible by $2$, then $a$ can be

If $abc$ is a $3-$digit number, then find the largest one-digit number that divides $\left(abc-a-b-c\right)$ exactly.

Find the smallest number that is to be added to $289279$ so that it can be divisible by $4$.

$21x95y4$ is a $7$-digit number. For what least value of $x$ and $y$, the number is divisible by $3$ and $4$

The number $50$_____$19$ is exactly divisible by $9$.

Find the missing digit that would make each number divisible by the given number.

$5027$_____$5$ by $3$ and $5$

Find the missing digit that would make each number divisible by the given number.

$69839$_____ by $3$ and $9$

Find the missing digit that would make each number divisible by the given number.

$24305$_____ by $9$

Find whether the given number is divisible by $4$ and $8$.

$25608$

Find whether the given number is divisible by $4$ and $8$.

$52248$

Find whether the given number is divisible by $4$ and $8$.

$32256$

Find whether the given number is divisible by $4$ and $8$.

$1800$

Find whether the given number is divisible by $4$ and $8$.

$726352$

Find whether the given number is divisible by $4$ and $8$.

$2104$

Write the missing number in the blank to make the number exactly divisible by $4$.

$65$_____ _____

Write the missing number in the blank to make the number exactly divisible by $4$.

$53$_____ _____

Write the missing number in the blank to make the number exactly divisible by $4$.

$58$_____$6$

Write the missing number in the blank to make the number exactly divisible by $4$.

$304$_____

Write the missing number in the blank to make the number exactly divisible by $4$.

$323$_____