Logic Puzzles · Billy-B
Logic Puzzle #20
From Billy-B's legendary 1001 Puzzle Collection — preserved on Puzz.com since 1998.
Puzzle #20
If none of the following statements are true, who can we conclude broke the vase? Mike: Sally broke the vase. Tom: Mike will tell you who broke the vase. April: Tom, Mike & I could not have broken the vase. Chris: I did not break the vase. Erik: Mike broke the vase, so Tom & April couldn't have. Jim: I broke the vase, so Tom is innocent.
Reveal Answer
Chris — If the statement "I did not break the vase" is definitely false, we can be certain that Chris broke the vase. Statements that some individuals "couldn't have" broken the vase only mean that these individuals could have broken the vase, but do not guarantee that they did. Jim's statement that "Tom is innocent" is too vague. We know that Tom is not innocent, but this does not assure us that he broke the vase.
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