Friends & Strangers
CAT 2021 Slot 1 · DILR · Hard · Logical Reasoning
Passage / data set
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.
| Person | No. of Friends | No. of Acquaintances | No. of Strangers |
|---|---|---|---|
| Amudha | 1 | 4 | |
| Bharatan | |||
| Chandran | 1 | ||
| Dhinesh | 2 | ||
| Ezhil | 1 | ||
| Fani | 1 | ||
| Gowtham | 3 | 2 |
The following additional facts are also known.
- Amudha, Bharatan, and Chandran are mutual strangers.
- Amudha, Dhinesh, and Fani are Ezhil's friends.
- Chandran and Gowtham are friends.
- Every friend of Amudha is an acquaintance of Bharatan, and every acquaintance of Bharatan is a friend of Amudha.
- Every friend of Bharatan is an acquaintance of Amudha, and every acquaintance of Amudha is a friend of Bharatan.
Question 1 of 6
Who are Gowtham's acquaintances?
- A.
Amudha, Bharatan and Fani
- B.
Dhinesh, Ezhil and Fani
- C.
Amudha, Dhinesh and Fani
- D.
Bharatan, Dhinesh and Ezhil
B
Explanation
Deducing all relationships systematically shows that Gowtham's acquaintances are Dhinesh, Ezhil, and Fani.
Question 2 of 6
Which of these pairs share the same type of relationship?
- A.
(Bharatan, Chandran) and (Dhinesh, Ezhil)
- B.
(Chandran, Ezhil) and (Dhinesh, Gowtham)
- C.
(Amudha, Gowtham) and (Ezhil, Fani)
- D.
(Bharatan, Ezhil) and (Fani, Gowtham)
D
Explanation
Evaluating the relationships, both (Bharatan, Ezhil) and (Fani, Gowtham) share the same type of relationship.
Question 3 of 6
Who is an acquaintance of Amudha?
- A.
Dhinesh
- B.
Fani
- C.
Ezhil
- D.
Gowtham
A
Explanation
Amudha's only acquaintance among the seven people is Dhinesh.
Question 4 of 6
Who is an acquaintance of Chandran?
- A.
Ezhil
- B.
Bharatan
- C.
Fani
- D.
Dhinesh
C
Explanation
Chandran's acquaintance is Fani.
Question 5 of 6
How many friends does Ezhil have?
3
Explanation
Ezhil's friends are Amudha, Dhinesh, and Fani. Thus, Ezhil has 3 friends.
Question 6 of 6
How many people are either a friend or a friend-of-a-friend of Ezhil?
4
Explanation
Counting Ezhil's direct friends and their direct friends gives a total of 4 people.
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