Question

My bag can carry no more than ten books. I must carry at least one book each of management, mathematics, physics and fiction. Also, for every management book I must carry two or more fiction books, and for every mathematics book, I must carry two or more physics books. I earn 4, 3, 2 and Ipoints for each management, mathematics, physics and fiction book, respectively, I carry in my bag. I want to maximize the points I can earn by carrying the most appropriate combination of books in my bag. The maximum points that I can earn are

• A. 20
• B. 21
• C. 22
• D. 23

Answer 1

Answer: (C)

22

Answer 2

| Management
(points)| Mathematics
(points)| Physics
(points)| Fiction
(points)
---|---|---|---|---
Possible Combinations
(No. of books
of each subject)| 1(4)| 1(3)| 1(2)| 1(1)
Compulsory
combination| 2 Fiction (2)| 2 Physics (4)| none| none

Thus 2 more books of Physics (4 points) can be carried along with the above said combination by which I can earn a total of 22 points.
The correct option is (C)