The rank of the matrix given below is:
$$\begin{bmatrix} 1 &4 &8 &7\\ 0 &0& 3 &0\\ 4 &2& 3 &1\\ 3 &12 &24 &2 \end{bmatrix}$$
It's an non-singular 4x4 matrix, hence its rank is 4. A non-singular matrix has non-zero determinant.
(D) is correct option!
see this..
Gatecse