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.
Question: 1
Who among the following four is not a member of Team 2?
Based on clues (1) and (5), Team 1 members are proficient in English, Chinese, Arabic, and French, with Robert being fluent in both Arabic and French. Team 3 members, as inferred from the same clues, speak English, Chinese, and Dutch, with Quentin being conversant in Dutch and English. As each individual is bilingual and every team collectively covers four languages, there is a need to identify a Team 3 member who speaks one language from English, Chinese, and Dutch, and a different language outside these three.
Due to Paula and Sally jointly mastering Basque, Chinese, and English, and being part of exactly two teams, they cannot be in Team 1. Consequently, they must be allocated to Teams 2 and 3. Therefore, based on clue (5) and the aforementioned deduction, Paula, Quentin, and Sally, who collectively encompass Basque, Chinese, Dutch, and English, form Team 3. Given that Team 3 comprises three individuals, Teams 1 and 2 should also consist of three members each.
Team 1 is identified as speakers of English, Chinese, Arabic, and French, and includes Robert, who is proficient in Arabic and French. To fulfill the team's composition, two more individuals who are well-versed in the above-mentioned languages need to be selected. Paula and Terence meet this criterion.
According to clue (2), both Basque and French are spoken by two teams. Consequently, Team 2 is designated as the team proficient in these two languages. Paula and Sally, fluent in Basque, Chinese, and English, are confirmed members of Team 2. To complete the team, a third member is needed, someone who is adept in one of these three languages and French. This requirement is met by Terence. Here's a summary:
Team 1:
Members: Robert, Paula, Terence
Languages: English, Chinese, Arabic, French
Team 2:
Members: Paula, Sally, Terence
Languages: Basque, Chinese, English, French
Team 3:
Members: Paula, Quentin, Sally
Languages: English, Chinese, Dutch, Basque
This distribution ensures that each team has three members and that each person speaks two languages.
Quentin is indeed not a member of Team 2.
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Question: 2
Who among the following four people is a part of exactly two teams?
Based on clues (1) and (5), Team 1 members are proficient in English, Chinese, Arabic, and French, with Robert being fluent in both Arabic and French. Team 3 members, as inferred from the same clues, speak English, Chinese, and Dutch, with Quentin being conversant in Dutch and English. As each individual is bilingual and every team collectively covers four languages, there is a need to identify a Team 3 member who speaks one language from English, Chinese, and Dutch, and a different language outside these three.
Due to Paula and Sally jointly mastering Basque, Chinese, and English, and being part of exactly two teams, they cannot be in Team 1. Consequently, they must be allocated to Teams 2 and 3. Therefore, based on clue (5) and the aforementioned deduction, Paula, Quentin, and Sally, who collectively encompass Basque, Chinese, Dutch, and English, form Team 3. Given that Team 3 comprises three individuals, Teams 1 and 2 should also consist of three members each.
Team 1 is identified as speakers of English, Chinese, Arabic, and French, and includes Robert, who is proficient in Arabic and French. To fulfill the team's composition, two more individuals who are well-versed in the above-mentioned languages need to be selected. Paula and Terence meet this criterion.
According to clue (2), both Basque and French are spoken by two teams. Consequently, Team 2 is designated as the team proficient in these two languages. Paula and Sally, fluent in Basque, Chinese, and English, are confirmed members of Team 2. To complete the team, a third member is needed, someone who is adept in one of these three languages and French. This requirement is met by Terence. Here's a summary:
Team 1:
Members: Robert, Paula, Terence
Languages: English, Chinese, Arabic, French
Team 2:
Members: Paula, Sally, Terence
Languages: Basque, Chinese, English, French
Team 3:
Members: Paula, Quentin, Sally
Languages: English, Chinese, Dutch, Basque
This distribution ensures that each team has three members, and that each person speaks two languages.
Yes, Sally is part of exactly two teams.
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Question: 3
Who among the five people is a member of all teams?
Based on clues (1) and (5), Team 1 members are proficient in English, Chinese, Arabic, and French, with Robert being fluent in both Arabic and French. Team 3 members, as inferred from the same clues, speak English, Chinese, and Dutch, with Quentin being conversant in Dutch and English. As each individual is bilingual and every team collectively covers four languages, there is a need to identify a Team 3 member who speaks one language from English, Chinese, and Dutch, and a different language outside these three.
Due to Paula and Sally jointly mastering Basque, Chinese, and English, and being part of exactly two teams, they cannot be in Team 1. Consequently, they must be allocated to Teams 2 and 3. Therefore, based on clue (5) and the aforementioned deduction, Paula, Quentin, and Sally, who collectively encompass Basque, Chinese, Dutch, and English, form Team 3. Given that Team 3 comprises three individuals, Teams 1 and 2 should also consist of three members each.
Team 1 is identified as speakers of English, Chinese, Arabic, and French, and includes Robert, who is proficient in Arabic and French. To fulfill the team's composition, two more individuals who are well-versed in the above-mentioned languages need to be selected. Paula and Terence meet this criterion.
According to clue (2), both Basque and French are spoken by two teams. Consequently, Team 2 is designated as the team proficient in these two languages. Paula and Sally, fluent in Basque, Chinese, and English, are confirmed members of Team 2. To complete the team, a third member is needed, someone who is adept in one of these three languages and French. This requirement is met by Terence. Here's a summary:
Team 1:
Members: Robert, Paula, Terence
Languages: English, Chinese, Arabic, French
Team 2:
Members: Paula, Sally, Terence
Languages: Basque, Chinese, English, French
Team 3:
Members: Paula, Quentin, Sally
Languages: English, Chinese, Dutch, Basque
This distribution ensures that each team has three members, and that each person speaks two languages.
Paula is part of every team.
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Question: 4
Apart from Chinese and English, which languages are spoken by Team 1?
Based on clues (1) and (5), Team 1 members are proficient in English, Chinese, Arabic, and French, with Robert being fluent in both Arabic and French. Team 3 members, as inferred from the same clues, speak English, Chinese, and Dutch, with Quentin being conversant in Dutch and English. As each individual is bilingual and every team collectively covers four languages, there is a need to identify a Team 3 member who speaks one language from English, Chinese, and Dutch, and a different language outside these three.
Due to Paula and Sally jointly mastering Basque, Chinese, and English, and being part of exactly two teams, they cannot be in Team 1. Consequently, they must be allocated to Teams 2 and 3. Therefore, based on clue (5) and the aforementioned deduction, Paula, Quentin, and Sally, who collectively encompass Basque, Chinese, Dutch, and English, form Team 3. Given that Team 3 comprises three individuals, Teams 1 and 2 should also consist of three members each.
Team 1 is identified as speakers of English, Chinese, Arabic, and French, and includes Robert, who is proficient in Arabic and French. To fulfill the team's composition, two more individuals who are well-versed in the above-mentioned languages need to be selected. Paula and Terence meet this criterion.
According to clue (2), both Basque and French are spoken by two teams. Consequently, Team 2 is designated as the team proficient in these two languages. Paula and Sally, fluent in Basque, Chinese, and English, are confirmed members of Team 2. To complete the team, a third member is needed, someone who is adept in one of these three languages and French. This requirement is met by Terence. Here's a summary:
Team 1:
Members: Robert, Paula, Terence
Languages: English, Chinese, Arabic, French
Team 2:
Members: Paula, Sally, Terence
Languages: Basque, Chinese, English, French
Team 3:
Members: Paula, Quentin, Sally
Languages: English, Chinese, Dutch, Basque
This distribution ensures that each team has three members, and that each person speaks two languages.
Apart from Chinese and English, Team 1 communicates in Arabic and French.
