If x - 11, then the value of x5 - 12x4 + 12x3 - 12x2 + 12x - 1 is?

Answer: Option B

$$x^5-12x^4+12x^3-12x^2+12x-1$$
$$=x^5-11x^4-x^4+11x^3+x^3-11x^2-$$       $$x^2+$$ $$11x+$$ $$x-$$ $$1$$
$$\text{Put }x=11$$
$$=11^5-11.11^4-11^4+11.11^3+11^3-$$       $$11.11^2-$$ $$11^2+$$ $$11.11+$$ $$11-$$ $$1$$
$$\begin{array}{rl}& =11-1\\ & =10\end{array}$$