Science Balance Brain Teaser

You have a broom which you balance on your finger keeping your finger exactly on the broom's center of gravity. You mark that point with the help of a marker. Now you cut the broom from there and are left with two different pieces one of which is longer than the other. The longer piece has the handle part whereas the shorter one comprises of bristles and some party of the handle.

Now, if you weigh the two pieces, which one of them will weigh more?