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

$N$ 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 $5$?

Simplify $\frac{(0.9743)^{3}-(0.0257)^{3}}{(0.9743)^{2}+(0.9743)(0.0257)+(0.0257)^{2}}$

If the two digits of the age of Mr. Manoj are reversed,then the new age so obtained is the age of his wife. $\frac{1}{11}$ of the sum of their ages is equal to the difference between their ages. If Mr. Manoj is older than his wife,then find the difference between their ages.

What least number must be subtracted from $5500$ to make it a perfect square?

In a Mathematics examination,the marks scored by $5$ candidates are $5$ successive odd integers. If their total marks are $185,$ the highest score is