So, where do you live?

Logic Level 4

Abe, Buddy, Carmen, Dennis and Earl all live on Pine Street which has house numbers from 10 to 110, both inclusive. Two of them, live in the same house. The others all live in different houses. They all have made remarks about where they live, but not all remarks are true.

Abe said, "My house number is a factor of Buddy's house number.Earl house number is 10 more than Dennis's."

Buddy said, " My house number is greater than 70. Abe's house number 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, " My house number is a square. Buddy's house number is a cube."

Earl said, "My house number is twice that of Buddy's."

But who is telling the truth? It turns out that all statements made by people living in houses with numbers greater than 50 were false. All other statements were true.

Find the sum of B+C+D+E, where:

  • B is the house number in which Buddy lives.

  • C is the house number in which Carmen lives.

  • D is the house number in which Dennis lives.

  • E is the house number in which Earl lives.


Can you catch some liars for me. Here are some of them who make statements worth deceiving

Image credit: www.phrasemix.com

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