a) If a group has order 12 , then G contains an element of order 6.

b) If a group has order 18, then G contains an element of order 3.

If it's true, prove it; if it's false find a counter example.

I know I should know this but for some reason can't get my head around it. Can someone give me a push in the right direction. Do I have to include the Sylow Theorems?

Thanx