Good Riddles

Question: There is a party of 100 high-powered politicians. All of them are either honest or liars. You walk in knowing two things:

- At least one of them is honest.
- If you take any two politicians, at least one of them is a liar.

From this information, can you know how many are liars and how many are honest?

Question: There is a prison with 100 prisoners, each in separate cells with no form of contact. There is an area in the prison with a single light bulb in it. Each day, the warden picks one of the prisoners at random, even if they have been picked before, and takes them out to the lobby. The prisoner will have the choice to flip the switch if they want. The light bulb starts off.

When a prisoner is taken into the area with the light bulb, he can also say "Every prisoner has been brought to the light bulb." If this is true all prisoners will go free. However, if a prisoner chooses to say this and it's wrong, all the prisoners will be executed. So a prisoner should only say this if he knows it is true for sure.

Before the first day of this process begins, all the prisoners are allowed to get together to discuss a strategy to eventually save themselves.

What strategy could they use to ensure they will go free?

Question: I'm teary-eyed but never cry.
Silver-tongued, but never lie.
Double-winged, but never fly.
Air-cooled, but never dry.

What am I?

Question: Smell me, buy me, and deliver me.
I won't change.

What am I?

Question: Without fingers, I point,
without arms, I strike,
without feet, I run.

What am I?