56. Tax Evasion Testimonies
Brown, Jones & Smith are suspected of income tax evasion. They testify, under oath as follows:
Brown: Jones is guilty & Smith is innocent.
Jones: If Brown is guilty, then so is Smith.
Smith: I am innocent but at least one of the others is guilty.
a) Assuming everybody told the truth, who is or are innocent or guilty?
b) Assuming the innocent told the truth & guilty lied, who is or are innocent or guilty?
Submitted by tartle · Added 27 March 2011
Hint: Consider the implications of each statement and how they relate to each other.
Solution:
a) If everybody told the truth, then Brown is guilty, Jones is guilty, and Smith is innocent.
b) If the innocent told the truth and the guilty lied, then Brown and Jones are guilty, and Smith is innocent.
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