$\frac{1}{4}$ of $\frac{1}{2}$ of $\frac{3}{4}$ of $52000 = ?$

Which one of the following is the largest prime number of three digits?

When a number is divided by $56,$ the remainder is $29.$ If the same number is divided by $8,$ then the remainder will be:

$A$ fraction becomes $4$ when $1$ is added to both the numerator and denominator; and it becomes $7$ when $1$ is subtracted from both the numerator and denominator. The numerator of the given fraction is

$N$ is the largest two-digit number which,when divided by $3, 4,$ and $6,$ leaves the remainders $1, 2,$ and $4$ respectively. What is the remainder when $N$ is divided by $5$?

For what value of $K$,the number $7236K2$ is divisible by $8$?