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

The least non-negative remainder when $2^{75}$ is divided by 5 will be:-

If it is 7:00 pm currently in the clock, what will the clock show (in am or pm) after 674 hours?

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:

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

The least non-negative remainder when $3^{128}$ is divided by 7 is: