2021 JMPSC Sprint Problems/Problem 14

Problem

Ari, Bryant, Chandler, and David each tell one truth and one lie.

1. Ari: Bryant is the tallest among the four of us. Chandler is the shortest among the four of us.
2. Bryant: Ari is the oldest in the room. Ari is the shortest in the room.
3. Chandler: David is taller than me. David is older than me.
4. David: Chandler told two truths. I am the oldest person in the room.

If the first name of the shortest person is letters long and the first name of the second-tallest person is letters long, find (Assume that no two people share the same height and are born on the same day.)

Solution

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