I was hoping for help with the following problem:

Let X be a discrete random variable and suppose Var(X)>1. How do Var(X) Var(X^2) compare?

One of the answers is "not enough information to solve" which is what I'm leaning towards...I can find plenty of examples where the Var(X^2) is bigger than the Var(X), but I feel like there is probably a counter example or an example where it depends on something. Can anyone help me? If you have a counter example could you explain how you thought of it? I can sometimes think of counter examples but I always feel as if Im just getting lucky. Thanks in advance.