His buddies, Art, Bill, Carl, and Don have a piece of information each about the house number, but none knows the actual number: Art knows whether the house number is a perfect square; Bill knows whether it is a multiple of 3; Carl knows whether it has one or two digits; and Don knows whether it is a multiple of 5. Ron knows the type of information each has.
After questioning and getting answers from Art, Bill, and Carl, Ron thinks that Don’s information might confirm what Pam’s number is. After getting an answer from Don, Ron says, “Now, if I knew whether her number is odd or even, I’d be sure.” After wheedling the parity of her number from Pam, Ron is sure he knows her number. He buys flowers and shows up at the address only to find an abandoned house.
Later he learns that Art and Bill had both lied. What is Pam’s house number?
