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CAT 2025 Lesson : DILR: Jan '25 to Feb '25 - Matching: 02 Feb 2025
Read the following and answer the questions that follow
Amudha, Bharatan, Chandran, Dhinesh, Ezhil, Fani and Gowtham are seven people in a town. Any pair of them could either be strangers, acquaintances, or friends. All relationships are mutual. For example, if Amudha is a friend of Bharatan, then Bharatan is also a friend of Amudha. Similarly, if Amudha is a stranger to Bharatan, then Bharatan is also a stranger to Amudha.
Partial information about the number of friends, acquaintances, and strangers of each of these people among them is given in the table below.
The following additional facts are also known.
1. Amudha, Bharatan, and Chandran are mutual strangers.
2. Amudha, Dhinesh, and Fani are Ezil's friends.
3. Chandran and Gowtham are friends.
4. Every friend of Amudha is an acquaintance of Bharatan, and every acquaintance of Bharatan is a friend of Amudha.
5. Every friend of Bharatan is an acquaintance of Amudha, and every acquaintance of Amudha is a friend of Bharatan.
[CAT 2021 Slot 1]
1) Who are Gowtham’s acquaintances?
(1) Amudha, Dhinesh and Fani
(2) Dhinesh, Ezhil and Fani
(3) Amudha, Bharatan and Fani
(4) Bharatan, Dhinesh and Ezhil
2) Which of these pairs share the same type of relationship?
(1) (Amudha, Gowtham) and (Ezhil, Fani)
(2) (Bharatan, Chandran) and (Dhinesh, Ezhil)
(3) (Chandran, Ezhil) and (Dhinesh, Gowtham)
(4) (Bharatan, Ezhil) and (Fani, Gowtham)
3) Who is an acquaintance of Amudha?
(1) Gowtham
(2) Fani
(3) Ezhil
(4) Dhinesh
4) Who is an acquaintance of Chandran?
(1) Dhinesh
(2) Fani
(3) Ezhil
(4) Bharatan
5) How many friends does Ezhil have?
Answer:
6) How many people are either a friend or a friend-of-a-friend of Ezhil?
Answer:
Read the following and answer the questions that follow
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.
7) Who among the following four is not a member of Team 2?
(1) Quentin
(2) Terence
(3) Paula
(4) Sally
8) Who among the following four people is a part of exactly two teams?
(1) Paula
(2) Sally
(3) Quentin
(4) Robert
9) Who among the five people is a member of all teams?
(1) Sally
(2) Paula
(3) Terence
(4) No one
10) Apart from Chinese and English, which languages are spoken by Team 1?
(1) Arabic and French
(2) Arabic and Basque
(3) Basque and French
(4) Basque and Dutch
Amudha, Bharatan, Chandran, Dhinesh, Ezhil, Fani and Gowtham are seven people in a town. Any pair of them could either be strangers, acquaintances, or friends. All relationships are mutual. For example, if Amudha is a friend of Bharatan, then Bharatan is also a friend of Amudha. Similarly, if Amudha is a stranger to Bharatan, then Bharatan is also a stranger to Amudha.
Partial information about the number of friends, acquaintances, and strangers of each of these people among them is given in the table below.
The following additional facts are also known.
1. Amudha, Bharatan, and Chandran are mutual strangers.
2. Amudha, Dhinesh, and Fani are Ezil's friends.
3. Chandran and Gowtham are friends.
4. Every friend of Amudha is an acquaintance of Bharatan, and every acquaintance of Bharatan is a friend of Amudha.
5. Every friend of Bharatan is an acquaintance of Amudha, and every acquaintance of Amudha is a friend of Bharatan.
[CAT 2021 Slot 1]
1) Who are Gowtham’s acquaintances?
(1) Amudha, Dhinesh and Fani
(2) Dhinesh, Ezhil and Fani
(3) Amudha, Bharatan and Fani
(4) Bharatan, Dhinesh and Ezhil
2) Which of these pairs share the same type of relationship?
(1) (Amudha, Gowtham) and (Ezhil, Fani)
(2) (Bharatan, Chandran) and (Dhinesh, Ezhil)
(3) (Chandran, Ezhil) and (Dhinesh, Gowtham)
(4) (Bharatan, Ezhil) and (Fani, Gowtham)
3) Who is an acquaintance of Amudha?
(1) Gowtham
(2) Fani
(3) Ezhil
(4) Dhinesh
4) Who is an acquaintance of Chandran?
(1) Dhinesh
(2) Fani
(3) Ezhil
(4) Bharatan
5) How many friends does Ezhil have?
Answer:
6) How many people are either a friend or a friend-of-a-friend of Ezhil?
Answer:
Read the following and answer the questions that follow
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.
7) Who among the following four is not a member of Team 2?
(1) Quentin
(2) Terence
(3) Paula
(4) Sally
8) Who among the following four people is a part of exactly two teams?
(1) Paula
(2) Sally
(3) Quentin
(4) Robert
9) Who among the five people is a member of all teams?
(1) Sally
(2) Paula
(3) Terence
(4) No one
10) Apart from Chinese and English, which languages are spoken by Team 1?
(1) Arabic and French
(2) Arabic and Basque
(3) Basque and French
(4) Basque and Dutch
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