CAT 2021 Slot 1 — DILR Question 20
Answer the next 6 questions based on the information given
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.
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The following additional facts are also known.
- Amudha, Bharatan, and Chandran are mutual strangers.
- Amudha, Dhinesh, and Fani are Ezil'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.
How many people are either a friend or a friend-of-a-friend of Ezhil?
Answer & solution
Correct answer: 4
Answer: 4
Consider the solution to first question of this set.
Ezil’s direct friends are Amudha, Dhinesh and Fani while friends of friends is Bharatan (Dhinesh’s friend).
Hence, 4.
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