Question

A goldsmith has five gold rings, each having a different weight. They are labelled as D, E, F, G and H. Their peculiarities are given in the following 5 statements:
Statement 1: Ring D weighs twice as much as ring E
Statement 2: Ring E weighs four and a half times as much as ring E
Statement 3: Ring F weighs half as much as ring G.
Statement 4: Ring G weighs half as much as ring H
Statement 5: Ring H weighs less than ring D but more than ring F