Three Of The Best Puzzle - Solution

The Puzzle:

Professor Frantic set these three problems to her class of maniacs at Clueless University.

Three replies are given below:

If everybody got one question wrong, what are the correct answers to Professor Frantic's questions?

It may seem obvious, but if everybody got one question wrong, then everybody got two questions right! Have another look at the answers:

If the first person got Question 1 wrong, then so did the second person.

That gives two completely different sets of "correct" answers for Question 2 and Question 3!

So Person 1 Question 1 must be right: "TWO".
The same working gives the other answers.

So Q1 TWO, Q2 THREE, Q3 TWO are the correct answers.

Puzzle Author: Stephen Froggatt