For a real number $x,[x]$ denotes the integral part of x the value of $ \bigg[ \large\frac{1}{2}\bigg]+\bigg[\large\frac{1}{2}+\frac{2}{100}\bigg] +.....+ \bigg[ \large\frac{1}{2}+\frac{99}{100}\bigg]$ is

Question

$\begin{array}{1 1} 49 \\ 50 \\ 48 \\ 51 \end{array} $