Difference between revisions of "2021 JMPSC Sprint Problems/Problem 14"
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Ari, Bryant, Chandler, and David each tell one truth and one lie. | Ari, Bryant, Chandler, and David each tell one truth and one lie. | ||
| − | + | #Ari: Bryant is the tallest among the four of us. Chandler is the shortest among the four of us. | |
| − | Ari: Bryant is the tallest among the four of us. Chandler is the shortest among the four of us. | + | #Bryant: Ari is the oldest in the room. Ari is the shortest in the room. |
| − | + | #Chandler: David is taller than me. David is older than me. | |
| − | + | #David: Chandler told two truths. I am the oldest person in the room. | |
| − | Bryant: Ari is the oldest in the room. Ari is the shortest in the room. | ||
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| − | Chandler: David is taller than me. David is older than me. | ||
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| − | David: Chandler told two truths. I am the oldest person in the room. | ||
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If the first name of the shortest person is <math>a</math> letters long and the first name of the second-tallest person is <math>b</math> letters long, find <math>a \times b.</math> (Assume that no two people share the same height and are born on the same day.) | If the first name of the shortest person is <math>a</math> letters long and the first name of the second-tallest person is <math>b</math> letters long, find <math>a \times b.</math> (Assume that no two people share the same height and are born on the same day.) | ||
Revision as of 22:37, 10 July 2021
Problem
Ari, Bryant, Chandler, and David each tell one truth and one lie.
- Ari: Bryant is the tallest among the four of us. Chandler is the shortest among the four of us.
- Bryant: Ari is the oldest in the room. Ari is the shortest in the room.
- Chandler: David is taller than me. David is older than me.
- 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
asdf
