Playing With Numbers

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?
NumberDivisible by $$2$$Divisible by $$5$$Divisible by $$10$$
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 $$11$$?