If E has written 300 books These books are distributed equally among his respective friends by him E...........

Data Interpretation ( SBI PO) Case Studies

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.

This questions was previously asked in

SBI PO Mains (29 Jan, 2021)

View All SBIPO Previous Year Papers

None of these

Explanation:

Let’s break this down, step by step:

- E has 3 friends, divides 300 books equally, so each friend gets 100 books.

- Each friend of E further splits their 100 books equally among their 5 own friends (per the info: each friend of E has 5 friends).

- So, every friend of E gives 100 ÷ 5 = 20 books to each of their 5 friends.

- Now, about the male friend: He gets 100 books from E. He needs to give these books equally to his female friends, and can at most give 60 books to all his female friends.

- Since each female friend may get at most 20 books (as per the prior calculation), and total distributed to female friends can't exceed 60,

- So, max number of female friends = 60 books ÷ 20 books per female friend = 3 female friends.

Let’s check the options:

1 = 1

2 = 3

3 = 2

4 = 5

5 = None of these

So the maximum possible number of female friends is 3.

Option: 2 – 3 is correct.

Quick recap of the logic:

- Each female friend can only get 20 books.