If $77 \equiv x(mod\ 4)$, then the least positive value of $x$ is :

Which of the following holds true?

(A) $26\equiv1(mod\ 5)$

(B) $17\equiv3(mod\ 8)$

(C) $-30\equiv-15(mod\ 3)$

(D) $39\equiv12(mod\ 7)$

Choose the correct answer from the options given below:

The digit in the unit's place of $6^{500}$ is:

If $525 \equiv (10 + K)( {mod } 7)$ where $K \in \mathbb{N}$, then the least value of $K$ is:

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

The least positive integer x satisfying $29 \equiv x \pmod{5}$ is

The value of $3^{18}(mod \space 4)$ is equal to