Friends and Strangers

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 (CAT 2021)


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.
     No. of FriendsNo. of AcquaintancesNo. of Strangers
    Amudha 14
    Bharatan   
    Chandran 1 
    Dhinesh  2
    Ezhil  1
    Fani1  
    Gowtham 32


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.


1) Who are Gowtham's acquaintances?
  1. Amudha, Bharatan and Fani
  2. Dhinesh, Ezhil and Fani
  3. Amudha, Dhinesh and Fani
  4. Bharatan, Dhinesh and Ezhil
2) Which of these pairs share the same type of relationship?
  1. (Bharatan, Chandran) and (Dhinesh, Ezhil)
  2. (Chandran, Ezhil) and (Dhinesh, Gowtham)
  3. (Amudha, Gowtham) and (Ezhil, Fani)
  4. (Bharatan, Ezhil) and (Fani, Gowtham)
3) Who is an acquaintance of Amudha?
  1. Dhinesh
  2. Fani
  3. Ezhil
  4. Gowtham
4) Who is an acquaintance of Chandran?
  1. Ezhil
  2. Bharatan
  3. Fani
  4. Dhinesh

5) How many friends does Ezhil have?

6) How many people are either a friend or a friend-of-a-friend of Ezhil?



For answers CLICK HERE.

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