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 ?