CAT 2019 Slot 2 — DILR Question 13
Answer the following questions based on the information given below.
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.
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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 is not a member of Team 2?
Answer & solution
Quentin
- B
Paula
- C
Terence
- D
Sally
Robert is in Team 1 and speaks Arabic and French.
So from (1) and (2); Team 1 speaks English, Chinese, Arabic and French.
So, Sally cannot be in Team 1. As Arabic is spoken by exactly one team, Robert is only on Team 1.
Therefore from (4), Paula and Sally are in Teams 2 and 3.
Quentin is in Team 3 and speaks Dutch and English.
So from (1) and (2); Team 3 speaks English, Chinese, Dutch and Basque. Also, Paula, Sally and Quentin are members of Team 3.
As Dutch is spoken by exactly one team, Quentin is only on Team 3. Team 3 has exactly 3 members.
Therefore from (1), each team has 3 members. So, Terence is the third member of Team 1 and 2.
Therefore, we have
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So, Quentin is not a member of Team 2.
Hence, option (a).