Question 6
A has thought of a number between 13 and 1300, and B is trying to guess it. (1) B asks whether the number is below 500; A says "yes". (2) B asks whether it is a perfect square; A says "yes". (3) B asks whether it is a perfect cube; A says "yes". Then A says: "Only two of my answers are correct." A also says: "The number starts with 5, 7 or 9." B now knows the number. What is it?
