Guessing a Number
Logic · proposed by @lumiere
Max is thinking of a three-digit number. He tells Lewis the hundreds digit, Fernando the tens digit, and Lando the ones digit. He then challenges them to guess the number. Their conversation goes as follows:
• Lando: "I know that the number is a multiple of 5."
• Max: "That is right! In fact, the number is a perfect square. "
• Fernando: "I still don't know it. I am not sure if each of our digits are distinct."
• Lewis: "I now know the number. I believe that the digits given to us are unique."
Find Max's number.