Question 21Medians $AD$ and $CE$ of triangle $ABC$ intersect in $M.$ The midpoint of $AE$ is $N.$ Let the area of triangle $MNE$ be $k$ times the area of triangle $ABC.$ Then $k$ equals:$\dfrac16$$\dfrac18$$\dfrac19$$\dfrac1{12}$$\dfrac1{16}$