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Read the following lines and answer the questions that follow: -
There are a total of 5 different writers – A, B, C, D and E. They write their books and distribute them among their friends. It is also known that none of these friends are mutual with respect to each other. Also the following information is available:
(i) A has a total of 7 friends. Each of his friends has 4 friends.
(ii) B has a total of 5 friends. Each of his friends has 3 friends.
(iii) C has total of 4 friends. Each of his friends has 5 friends.
(iv) D has total of 6 friends. Each of his friends has 2 friends.
(v) E has total of 3 friends. Each of his friends has 5 friends.
If E has written 300 books. These books are distributed equally among his respective friends by him. Each of his friend further distributes equal amount of books to his/her friend. Also it is known that among his friends, 1 is male and the remaining are females. Now, if the male friend of E can distribute a maximum of 60 books to his female friends, find the maximum possible number of female friends of the male friend of E.
1
3
2
5
None of these
- E has written 300 books, which are given equally to 3 friends (as E has 3 friends). Each friend gets 100 books.
- E's friends then pass these books equally to their 5 friends.
- For the male friend of E, if he can distribute a maximum of 60 books to his female friends, it implies:
- He has received 100 books.
- He gives these books to his 5 friends.
- That's 20 books per friend (100/5).
- To give a total of 60 books to female friends, male friend needs 3 female friends (since 3 × 20 = 60).
Correct Answer: Option:3, 2
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