Abe, buddy, Carmen, Dennis and Earl all live on Pine Street which has house number from 10 to 111, both inclusive. Two of them live in the same house. The other all live in other houses. They all have made remarks about where they live, but not all the remarks are true.
Abe said, " My house number is a factor of Buddy's house number. Earl's house number is 10 greater than Dennis."
Buddy said, " My house is greater than 70. Abe's house number. Earl's house is greater than 30."
Carmen said, " My house number is both a cube and a square. Dennis's house number is greater than 50."
Dennis said,m" My house number is square. Buddy's house number is cube."
Earl said, " My house number is twice Buddy's.
But who's telling the truth? it turns out that all statement made by the people living in houses with number greater than 50 were false. All the other statement were true.
Can you tell house number of earl?
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