MBApyq

Friends & Strangers

CAT 2021 Slot 1 · Data Interpretation & Logical Reasoning · Hard · Logical Reasoning

This is a hard Data Interpretation & Logical Reasoning question set from the CAT 2021 Slot 1 paper. It tests Logical Reasoning. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.

All CAT 2021 Slot 1 questionsMore Logical Reasoning questionsAll CAT DILR

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.

PersonNo. of FriendsNo. of AcquaintancesNo. of Strangers
Amudha14
Bharatan
Chandran1
Dhinesh2
Ezhil1
Fani1
Gowtham32

The following additional facts are also known.

  1. Amudha, Bharatan, and Chandran are mutual strangers.
  2. Amudha, Dhinesh, and Fani are Ezhil'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.

Question 1 of 6

Who are Gowtham's acquaintances?

  1. A.

    Amudha, Bharatan and Fani

  2. B.

    Dhinesh, Ezhil and Fani

  3. C.

    Amudha, Dhinesh and Fani

  4. D.

    Bharatan, Dhinesh and Ezhil

Answer

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?

  1. A.

    (Bharatan, Chandran) and (Dhinesh, Ezhil)

  2. B.

    (Chandran, Ezhil) and (Dhinesh, Gowtham)

  3. C.

    (Amudha, Gowtham) and (Ezhil, Fani)

  4. D.

    (Bharatan, Ezhil) and (Fani, Gowtham)

Answer

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?

  1. A.

    Dhinesh

  2. B.

    Fani

  3. C.

    Ezhil

  4. D.

    Gowtham

Answer

A

Explanation

Amudha's only acquaintance among the seven people is Dhinesh.

Question 4 of 6

Who is an acquaintance of Chandran?

  1. A.

    Ezhil

  2. B.

    Bharatan

  3. C.

    Fani

  4. D.

    Dhinesh

Answer

C

Explanation

Chandran's acquaintance is Fani.

Why the other options are wrong

  • A.Ezhil — does not satisfy the condition asked in this question, so it is not the correct answer.
  • B.Bharatan — does not satisfy the condition asked in this question, so it is not the correct answer.
  • C.Fani — does not satisfy the condition asked in this question, so it is not the correct answer.
  • D.Dhinesh — does not satisfy the condition asked in this question, so it is not the correct answer.

Question 5 of 6

How many friends does Ezhil have?

Answer

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?

Answer

4

Explanation

Counting Ezhil's direct friends and their direct friends gives a total of 4 people.

Related Logical Reasoning questions

Practise this under exam conditions

Sign in to solve it with a live timer, the on-screen CAT calculator, and streak and accuracy tracking across every question you attempt.

Solve in the workspace