Tuesday, February 1, 2011

How many are speaking the Truth?

There are 100 persons present in a room. Each of them are making one statement one-after-the-other. Here are their statements in sequence..

1. There is no one in this room who speaks the truth.
2. At most 1 person in the room speaks the truth.
3. At most 2 person in the room speaks the truth.
4. At most 3 person in the room speaks the truth.
..
..
100. At most 99 person in the room speaks the truth.

Based on their statements, can you find out the number of truth tellers present in the room?

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