This problem is about projectile motion. In a nutshell, a hunter shoots his rifle directly at a monkey hanging from a tree. Just as he fires his rifle, the monkey lets go of the branch, and starts falling. The question is to find the conditions under which the monkey will be hit by the bullet.
Solution by Yaşar Safkan
The surprising result is that, the bullet will hit the monkey independent of the speed of the bullet. In fact, it turns out letting go of the branch is the worst thing the monkey can do!
You will also find a video showing this exact experiment performed at MIT towards the end of the video. (Source: Monkey and a gun )