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There's a list of "25 best exam blunders" floating around. Apparently it's from "F in exams: the best test paper blunders".
Here're my favourites:

Q: Where was Hadrian's Wall built?
A: Around Hadrian's garden

Q: What is a vibration?
A: There are good vibrations and bad vibrations. Good vibrations were discovered in the 1960s

Q: Steve is driving his car. He is travelling at 60 feet/second and the speed limit is 40 mph. Is Steve speeding?
A: He could find out by checking his speedometer.

Q: Why would living close to a mobile phone mast cause ill health?
A: You might walk into it.

Q: What is the highest frequency noise that a human can register?
A: Mariah Carey. ♥♥♥

Q: State three drawbacks of hedgerow removal.
A: 1. All the cows will escape.
2. The cars drive into the fields.
3. There is nowhere to hide.

Q: How does Romeo's character develop throughout the play?
A: It doesn't, it's just self, self, self all the way through.

Q: Is Birmingham the right location for this type of business?
A: No. People from Birmingham aren't very fashionable.

Q: Name six animals which live specifically in the Artic.
A: Two polar bears.

Q: Name one of the early Romans' greatest achievements.
A: Learning to speak Latin

Q: What did Mahatma Gandhi and Genghis Khan have in common?
A: Unusual names