The following facts have been established at a crime scene. (i) If Professor Plu

Question

The following facts have been established at a crime scene.

(i) If Professor Plum is guilty, then the crime took place in the kitchen.

(ii) If the crime took place at midnight, Professor Plum is guilty.

(iii) Miss Scarlet is not guilty if and only if the weapon was not the candlestick.

(iv) Either Miss Scarlet or Professor Plum is guilty.

(v) The crime occurred at midnight or at sunset.

(vi) The crime lab determines that the crime did not take place in the library.

(vii) Testimony from witnesses confirms that if the crime did not occur in the billiard room, then either the crime occurred at sunrise or the crime took place in the library.

Using logical reasoning, solve the crime by determining who is guilty, the weapon used, the location of the crime, and the time of the crime. Give an argument (i.e., a proof) explaining why your conclusions are true.

Explanation / Answer

Since the crime cannot occur at library and so the only possibility left is it occured at sunrise. Now if it occurs at midnight then Professor Plum is guilty.

Hence Miss scarlet did the crime. Now if she is not guilty iff weapon is not cndlestick . As she is guilty then weapon used is candlestick at sunrise

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