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 question was previously asked in

SBI PO Mains Memory Based Paper 29 Jan 2021

Option 4 : 5

**Given:**

Total number of books written by E = 300

Number of friends of E = 3

Number of male friends of E = 1

Number of friends of each of the friends of E = 5

**Calculation:**

Number of book distributed to each friend of E = 300/3 = 100

Hence, Number of book received by the only male friend of E = 100

Also, it is given that,

Male friend of E can equally distribute a maximum of 60 books to his female friends.

So, the maximum possible number of female friends of E = total number of male friends of E

Hence, the maximum possible number of female friends of the male friend of E = 5

**∴ The maximum possible number of female friends of the male friend of E is 5**

** Mistake Points** Common Wrong Logic

1. Question asked a maximum female friend of the male friend of E.

Not the maximum female friend of E. Hence, the answer should be 3

2. 300/3 = 100 then 100/5 is equal to 20.

Now the maximum number of books that can be given to a female friend is 60,

So 60/20 which is equal to 3

Both the above logic are wrong.

it has been mentioned in the question that there are certain number of friends for a particular friend of A, B, C, D and E each. Hence in the solution; we divide the total number of friends of a person by the maximum of number of friends that person has to obtain the required answer.