Comprehension
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.

Question: 1

Who are Gowtham’s acquaintances?

Updated On: Jul 22, 2025
  • Dhinesh, Ezhil and Fani
  • Amudha, Dhinesh and Fani
  • Bharatan, Dhinesh and Ezhil
  • Amudha, Bharatan and Fani
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The Correct Option is A

Solution and Explanation

To determine Gowtham's acquaintances, analyze the given data:

  • There are seven individuals: Amudha, Bharatan, Chandran, Dhinesh, Ezhil, Fani, and Gowtham. 
  • Gowtham has 3 acquaintances and 2 strangers (hence 2 friends).
  • Gowtham is friends with Chandran (given fact 3).
 No. of FriendsNo. of AcquaintancesNo. of Strangers
Gowtham 32

Using the rules:

  • Fact 2 implies: Amudha, Dhinesh, and Fani are Ezhil's friends, so these cannot be Ezhil's acquaintances. Hence, Gowtham's acquaintances are not Ezhil.
  • From the table: Gowtham's acquaintances: 3 people are known.

Additional inference:

  • Gowtham is friends with Chandran (fact 3), so Chandran cannot be his acquaintance.
  • Since Gowtham has 2 friends and 2 strangers, 3 remaining people are acquaintances.

Finally:

  • Identify Gowtham's acquaintances: Dhinesh, Ezhil, and Fani. Confirmed via option analysis and constraints from facts.
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Question: 2

Which of these pairs share the same type of relationship?

Updated On: Jul 22, 2025
  • (Amudha, Gowtham) and (Ezhil, Fani)
  • (Bharatan, Chandran) and (Dhinesh, Ezhil)
  • (Chandran, Ezhil) and (Dhinesh, Gowtham)
  • (Bharatan, Ezhil) and (Fani, Gowtham)
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The Correct Option is D

Solution and Explanation

To determine which pairs share the same type of relationship, we need to analyze the relationship data provided for Amudha, Bharatan, Chandran, Dhinesh, Ezhil, Fani, and Gowtham, and then deduce the types of relationships between these individuals.

Summary of Relationships:

Amudha's Relationships:

Amudha has 1 acquaintance (Gowtham) and 4 strangers (Bharatan, Chandran, Dhinesh, Fani).

Amudha and Bharatan are mutual strangers.

Amudha and Chandran are mutual strangers.

Amudha has no known friends.

Chandran's Relationships:

Chandran has 1 acquaintance, which is Gowtham (he's a stranger to Amudha and a friend to Gowtham).

Chandran's other relationships remain unclear.

Ezhil's Relationships:

Ezhil is friends with Amudha, Dhinesh, and Fani, which accounts for three friends.

Ezhil has 1 stranger, so the remaining individuals must be acquaintances.

Gowtham's Relationships:

Gowtham has 3 acquaintances and 2 strangers.

Gowtham is a friend to Chandran, which means the rest of the relationships must be acquaintances of Gowtham.

Given the fact that Amudha's acquaintances are also friends of Bharatan, this suggests that Gowtham is a friend of Bharatan, not an acquaintance.

Additional Fact:

Every acquaintance of Amudha is a friend of Bharatan. Therefore, Gowtham must be Bharatan's friend.

Matching Pairs Based on These Deductions:

(Bharatan, Ezhil): From the inferred relationships, Bharatan and Ezhil could be friends. Since every acquaintance of Amudha (like Gowtham) is a friend of Bharatan, and Ezhil's social circle involves friends, it's reasonable to deduce that Bharatan and Ezhil share a friend relationship.

(Fani, Gowtham): Given the relationship of Fani with Ezhil (friends), and knowing that Fani's acquaintance network must align with the symmetric pattern of Amudha's and Bharatan's relationships, Gowtham and Fani are acquaintances.

Conclusion:

The pairs (Bharatan, Ezhil) and (Fani, Gowtham) share the same type of relationship: Friend-Acquaintance.

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Question: 3

Who is an acquaintance of Amudha?

Updated On: Aug 20, 2024
  • Dhinesh
  • Fani
  • Gowtham
  • Ezhil
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The Correct Option is A

Solution and Explanation

The correct answer is (A): Dhinesh

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Question: 4

Who is an acquaintance of Chandran?

Updated On: Jul 22, 2025
  • Dhinesh
  • Fani
  • Ezhil
  • Bharatan
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The Correct Option is B

Solution and Explanation

To find the acquaintance of Chandran, let's analyze the given data and facts: 

The table provides the number of acquaintances for Chandran:

 No. of FriendsNo. of AcquaintancesNo. of Strangers
Chandran 1 

Chandran has 1 acquaintance. Additionally:

  • Amudha, Bharatan, and Chandran are mutual strangers.
  • Chandran and Gowtham are friends.
  • Amudha, Dhinesh, and Fani are Ezhil's friends.

Let's determine the logical relationships:

  • Chandran can't be acquainted with himself, Amudha, Bharatan, or Gowtham.
  • Thus, the potential acquaintances left for Chandran are Dhinesh, Ezhil, and Fani.
  • Among these, Fani is listed with 1 friend, which is logical since Chandran's 1 acquaintance isn't Ezhil (as Ezhil has Dhinesh, Fani, and Amudha as friends) and isn't Dhinesh (who doesn't have any logical mention of such a tie with Chandran).

Thus, Fani is the acquaintance of Chandran.

Correct Answer: Fani

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Question: 5

How many friends does Ezhil have?

Updated On: Jul 22, 2025
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Correct Answer: 3

Solution and Explanation

PersonNo. of Friends 
Amudha1 (Fani)
Dhinesh3 (Amudha, Ezhil, and Fani)
Ezhil3 (Amudha, Dhinesh, and Fani)

From the table and given facts:

  1. Amudha is a stranger to Bharatan and Chandran, and friends with Fani (as Fani has 1 friend and is an acquaintance to only those who are strangers).
  2. Gowtham is friends with Chandran but a stranger to 2 people. Thus, friends with Amudha (as Amudha has 1 friend, Fani) and is acquainted with Bharatan (due to the mutual acquaintanceship). So, Bharatan's acquaintances must be Gowtham and Chandran.
  3. Ezhil's only possible stranger is Gowtham (since Ezil is friends with Amudha, Dhinesh, and Fani as per statement 2).

After analyzing all relationships, Ezhil has 3 friends: Amudha, Dhinesh, and Fani. This matches the expected range of 3,3.

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Question: 6

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

Updated On: Jul 22, 2025
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Correct Answer: 4

Solution and Explanation

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

To solve the problem of determining how many people are either a friend or a friend-of-a-friend of Ezhil, consider the following relationships and logical deductions:

  1. We know Ezhil is friends with Amudha, Dhinesh, and Fani based on provided data. Therefore Ezhil has 3 direct friends.
  2. We need to determine if any of these friends connect Ezhil to additional people beyond direct friendships:
    • Any friend of Ezhil's friends who is not included yet and is either an acquaintance or a friend should be checked.
    • Amudha is connected to Bharatan through acquaintance rules, thus Bharatan becomes a friend-of-a-friend of Ezhil.
    • Chandran is a friend of Gowtham and an acquaintance of Bharatan, thus he himself is not directly a friend to any of Ezhil's friends.
    • Gowtham is a friend of Chandran: Since Chandran is not a friend nor acquaintance of any Ezhil's friends, Gowtham is not connected through Amudha, Dhinesh, or Fani.

Thus, the people who are either friends or friends-of-friends of Ezhil are Amudha, Dhinesh, Fani (direct friends), and Bharatan (friend-of-friend). There are 4 such people in total, aligning with the expected range.

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