What is the digit in the unit's place in the number $\frac{151}{100}$?

If $(x^{3}+\frac{1}{x^{3}})=52$,then the value of $x+\frac{1}{x}$ is

If $2 a p q = (p + q)^2 - (p - q)^2$,then the value of $a$ is

Divide the polynomial $4y^{3}-3y^{2}+2y-4$ by $y+2$ and find the quotient and remainder.

When $4x^3 - ax^2 + bx - 4$ is divided by $x - 2$ and $x + 1$,the respective remainders are $20$ and $-13$. Find the values of $a$ and $b$.

If $(x+\frac{1}{x})=5,$ what is the value of $(x^{5}+\frac{1}{x^{5}})?$