If $x$ is the least positive integer satisfying $100 \equiv x \pmod{6}$, then $(2x+1)$ is equal to :

A value of $x$ satisfying $6x \equiv 5 \pmod{7}$ is

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

The non-negative remainder when $7^{30}$ is divided by 5 is

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

At a game of billiards, A can give B 15 points in 60 and A can give C 20 points in 60. How many points can B give C in a game of 180?

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: