The least non-negative remainder when $2^{101}$ is divided by 5 is:

The possible value (s) of x such that $28 \equiv x(mod\ 6)$ are :-

(A) -2

(B) 4

(C) 6

(D) 10

Choose the correct answer from the options given below:

The last digit (unit digit) of $12^{25}$ is

The last digit of $12^{13}$ is :

If $X = 11$ and $Y = 3$, then $X \mod Y = (X + aY) \mod Y$ holds

A mixture contains apple juice and water in the ratio $10: \mathrm{x}$. When $36$ litres of the mixture and $9$ litres of water are mixed, the ratio of apple juice and water becomes $5: 4$. The value of $x$ is :

The least non-negative remainder when $5^{48}$ is divided by 7 is