Answer:
I am alive without breath and cold as death. I am never thirsty but always drinking.
I let water fall on you while everyone else stays dry. What am I?
I look at you, you look at me. I raise my right, you raise your left. What am I?
Without me everyone would lose their head.
What runs but never walks has a mouth but never talks has a head but never weeps has a bed but never sleeps?
No matter how little or how much you use me, you change me every month.