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.
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.
To determine Gowtham's acquaintances, analyze the given data:
No. of Friends | No. of Acquaintances | No. of Strangers | |
---|---|---|---|
Gowtham | 3 | 2 |
Using the rules:
Additional inference:
Finally:
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.
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.
(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.
The pairs (Bharatan, Ezhil) and (Fani, Gowtham) share the same type of relationship: Friend-Acquaintance.
The correct answer is (A): Dhinesh
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 Friends | No. of Acquaintances | No. of Strangers | |
---|---|---|---|
Chandran | 1 |
Chandran has 1 acquaintance. Additionally:
Let's determine the logical relationships:
Thus, Fani is the acquaintance of Chandran.
Correct Answer: Fani
Person | No. of Friends |
---|---|
Amudha | 1 (Fani) |
Dhinesh | 3 (Amudha, Ezhil, and Fani) |
Ezhil | 3 (Amudha, Dhinesh, and Fani) |
From the table and given facts:
After analyzing all relationships, Ezhil has 3 friends: Amudha, Dhinesh, and Fani. This matches the expected range of 3,3.
No. of Friends | No. of Acquaintances | No. of Strangers | |
---|---|---|---|
Amudha | - | 1 | 4 |
Bharatan | - | - | - |
Chandran | - | 1 | - |
Dhinesh | - | - | 2 |
Ezhil | - | - | 1 |
Fani | 1 | - | - |
Gowtham | - | 3 | 2 |
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:
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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