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Which of the following statements must be incorrect ?

  • A.A has never touched a knife in his life.
  • B.A was not in town on the night of the murder.
  • C.B was playing cards with C the entire night of the murder.
  • D.C was sleeping on the night of the murder.

Answer: D

The statement that must be incorrect is C was sleeping on the night of the murder.

As worked out for this set, B is innocent, so C's second statement, 'B is innocent', is true. Since each suspect makes exactly one true statement, C's first statement, 'I was sleeping on the night of the murder', must be false. That also agrees with B's true statement that he played cards with C the entire night.

B's statement about playing cards with C is true, not incorrect. Of A's two statements one is true and one false, but the information does not show which, so neither of them must be incorrect.

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