Spoiler 3

#3 He Went that Away!

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The answer is :

1 or room 38

Recap:

1. The suspect ran into Room 35 or 38.

2. The suspect ran into Room 37.

3. The suspect did not run into Room 38.

4. The suspect ran into Room 36 or 37.

FYI - Only one statement is true.

So if the suspect ran into Room 37, then statements #2 and #4 would be true, therefore they are both false. That rules out Rooms 37 and 36.

Statements #3 and #1 are contradictory, and we know that one is true. If the suspect ran into Room 35, then the statements would both be true.

Therefore, it is Room 38. Statement #1 is the only true statement.

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Thanks for reading and playing along. I do hope you enjoyed this little murder as much as I had writing it. Stay tuned for another round another time.