Ten Numbers: A Puzzle
Here are ten questions. The answer to each is a single integer from 1–9 inclusive.
- What is the number of the only question whose number is the answer to this question and this question alone and whose answer is less than double its number?
- What is one more than the answer to the only question whose answer equals its number and does not equal the answer of any other question?
- What is the number of the only question whose number is the number of this question?
- What is two more than the only answer shared by more than one question?
- What is the number of the only question whose answer is the number of this question?
- What is the answer to the only question whose number is the number of this question?
- What is the number of the only question whose answer is the number of this question?
- What is the number of the only other question whose answer is the answer to this question?
- What is the difference between the number of this question and the number of the only question whose answer is the number of this question?
- What is the sum of the answers to the only two questions which have answers equal to their question numbers?