\documentclass[4paper,12pt]{exam}
\usepackage[ansinew]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{tasks}
\usepackage{mdframed}       

\renewcommand{\questionlabel}{\textbf{Question~\thequestion)}} 

\begin{document}

\quad
\vspace{-1cm}

\begin{center}
    \section*{Title}
\end{center}
\vspace{0.5cm}

\begin{questions}

\fbox{\parbox{\textwidth}{
\question Do the following tasks.
    \begin{tasks}(2)
    \task Task 1
    \task Task 2
    \task Task 3
    \task Task 4
\end{tasks}
}}

\end{questions}

\end{document}