Amy, Brenda, Christa, and Dana live in different houses on Mulberry street. Amy says that Christa’s house number is even. This is important because the residents of Mulberry street with even house numbers are habitual liars. Nothing they say is true. On the other hand, those with even house numbers always tell the truth.
Christa responds to Amy by claiming that her house number is greater than Dana’s and also that her (Christa’s) age is a perfect cube. (All these women, incidentally, are between the ages of 16 and 89.)
Brenda’s contribution is to assert that her house number is 3 greater than Amy’s and that Dana’s age is an exact multiple of Amy’s age.
Finally, Dana, who likes to complicate things, says that Christa’s age is either 27 or an even number (but not 64). “Furthermore,” Dana says, “Brenda does not live at #19.”
What are the ages and house numbers of the four women?
Solution
Amy (age 23 and a liar) lives at #16.
Brenda (age 26 and truthful) lives at #19.
Christa, bless her heart, lives at #71, is 64 years old, and truthful.
Dana (age 69 and a liar) lives at #62.
But are there more solutions?