In the table below the check marks indicate all languages spoken by five people: Paula, Quentin, Robert, Sally and Terence. For example, Paula speaks only Chinese and English.
These five people form three teams, Team 1, Team 2 and Team 3. Each team has either 2 or 3 members. A team is said to speak a particular language if at least one of its members speak that language.
The following facts are known:
1. Each team speaks exactly four languages and has the same number of members.
2. English and Chinese are spoken by all three teams, Basque and French by exactly two teams and the other languages by exactly one team.
3. None of the teams include both Quentin and Robert.
4. Paula and Sally are together in exactly two teams.
5. Robert is in Team 1 and Quentin is in Team 3.
Who among the following four people is a part of exactly two teams?
Correct Answer :
Sally
Solution :
Based on the conditions of the puzzle:
1. There are three teams, each with either 2 or 3 members.
2. Each team speaks exactly 4 languages. English and Chinese are spoken by all three teams.
3. Robert is in Team 1 and Quentin is in Team 3. They can never be on the same team.
4. Paula and Sally are together in exactly two teams.
By analyzing the language and team constraints, we find:
- Team 1 consists of Robert, Paula, and Sally.
- Team 2 consists of Terence and Paula.
- Team 3 consists of Quentin, Paula, and Sally.
From this membership list:
- Paula is in all 3 teams.
- Sally is in Team 1 and Team 3 (exactly 2 teams).
- Robert is in Team 1 (exactly 1 team).
- Quentin is in Team 3 (exactly 1 team).
- Terence is in Team 2 (exactly 1 team).
Thus, Sally is a part of exactly two teams.
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