For some integer $m$,every even integer is of the form

Using Euclid's division algorithm,find the largest number that divides $1251, 9377$ and $15628$ leaving remainders $1, 2$ and $3$,respectively.

Prove that the product of any two consecutive positive integers is divisible by $2$.

The last digit of $10^{n}$ for any integer $n \geq 1$ is ............

State whether the following rational number has a terminating decimal expansion or not. If it does,find it: $\frac{19}{8}$

State whether the following rational number has a terminating decimal expansion or not. If it has,then find it: $\frac{9}{30}$