Paul lives on the 13th avenue, which has houses numbered from 13 to 1300. Dennis wants to
know the number of Paul's house.
• Dennis asks: "is the number less than 500?"
Paul answers, but he lies
Dennis asks: “is that number a perfect square?"
Paul answers, but he lies
Dennis ask: “Is it a perfect cube?"
Paul answers and he tells the truth.
Dennis Said: "if I knew whether the second digit is a 1, I can tell you the number of the house"
Paul tells him whether or not the second digit is a 1 and Dennis answers what he thinks is the number of the house
© But Dennis is wrong
• What is the number of Paul's house ?​