The last digit of $2^5 \cdot 5^5$ is . . . . . . .

There is a circular path around a sports field. Sonia takes $18$ minutes to drive one round of the field,while Ravi takes $12$ minutes for the same. Suppose they both start at the same point and at the same time,and go in the same direction. After how many minutes will they meet again at the starting point?

The graph of the polynomial $p(x) = ax - b$,where $a \neq 0$ and $a, b \in R$,intersects the $X$-axis at which unique point?

The difference between the $HCF$ and $LCM$ of two prime numbers $7$ and $11$ is . . . . . . .

The largest $4$-digit integer divisible by $95$ is ........

Prove that the number $\sqrt{2}$ is irrational.