### Playing With Numbers

goals
A number $34A$ is exactly divisible by $2$ and leaves a remainder $1$, when divided by $5$, find $A$
If $345\ A\ 7$ is divisible by $3$,supply the missing digit in place of $'A'$
Using divisibility rules , find which of the following numbers are divisible by $2, 5, 10$ ( say yes or no ) in the given table . What do you observe?
 Number Divisible by $2$ Divisible by $5$ Divisible by $10$ $524$ YES NO NO $1200$ $535$ $836$ $780$ $3500$ $4820$ $48630$
If another observation $61$ is also included to the above data what would be the median?
What is the total number of three digit numbers with unit digit $7$ and divisible by $11$?