*Challenge question #46 (13/03/2017)*

**Junior Question**

A fast food outlet sells chicken nuggets in packs of $4$ and $9$.

What is the largest number of nuggets that *cannot* be bought with a combination of these packs?

**Senior Question**

O is a point inside the triangle ABC. Let K, L, and M be the mid-points of the sides [BC], [CA], [AB] respectively, and let X, Y, and Z be the midpoints of [OA], [OB], [OC] respectively.

Prove that the lines [KX], [LY], and [MZ] are concurrent.