Question

Nathan, Joshua, Michelle, and Denise were in a room where a porcelain vase was found broken. When an inquiry was conducted by the building caretaker, each made a statement.

Nathan: Denise broke the vase.
Joshua: Michelle did it.
Michelle: I did not do it.
Denise: Joshua lied when he said Michelle did it.

The caretaker knew that only two statements were true and concluded that Denise broke the vase.

Describe in complete sentences the method you use to show that the caretaker made an incorrect conclusion.

Answer 1

If Nathan did it:
N - False J - False M - True D - True

If Joshua did it:
N - False J - False M - True D - True

If Michelle did it:
N - False J - True M - False D - False

If Denise did it:
N - True J - False M - True D - True

unfortunately, it looks like the question was wrong. Either Nathan or Joshua did it. There isn't enough info to make a conclusion.

Answer 2

thanks!<3