Ex.5-2 (Ex.3 in LN):
Solving a Murder Mystery Logically

The following facts were given to you.

If you think it is possible to deduce the identity of the murderer from the facts, give the murderer and show how to deduce it.

Otherwise, prove that it is impossible.

  1. Lord Hazelton, the murdered man, was killed by a blow on the head with a brass candlestick.
  2. Either Lady Hazelton or a maid, Sara, was in the dining room at the time of the murder.
  3. If the cook was in the kitchen at the time of the murder, then the butler killed Lord Hazelton with a fatal dose of strychnine.
  4. If Lady Hazelton was in the dining room at the time of the murder, then the chauffeur killed Lord Hazelton.
  5. If the cook was not in the kitchen at the time of the murder, then Sara was not in the dining room when the murder was committed.
  6. If Sara was in the dining room at the time the murder was committed, then the wine steward killed Lord Hazelton.

Previous Exercise In-Class Ex.2 of 6 Next Exercise