Which of the following integers has the most number of divisors$?$

The difference between a two-digit number and the number obtained by interchanging the position of the digits of the number is $27$. What is the difference between the digits of that number$?$

Three-fifth of a number is $30$ more than $50\%$ of that number. What is $80\%$ of that number$?$

One-fifth of a number is equal to $\frac{5}{8}$ of another number. If $35$ is added to the first number, it becomes four times of the second number. Find the second number$?$

The value of $\sqrt{5 + 2\sqrt{6}} - \frac{1}{\sqrt{5 + 2\sqrt{6}}}$ is :

The value of $\sqrt{2^4} + \sqrt[3]{64} + \sqrt[4]{2^8}$ is :