CAT 2000 — DILR Question 2
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 carry I must carry two or more fiction books, and for every mathematics book I carry I must carry two or more physics books. I earn 4, 3, 2 and 1 points for each management, mathematics, physics and fiction book, respectively, I carry in my bag. I want to maximise the points I can earn by carrying the most appropriate combination of books in my bag. The maximum points that I can earn are
Answer & solution
- A
20
- B
21
22
- D
23
Points earned by carrying 1 management and 2 fiction books = 4 + 1 + 1 = 6
Points earned by carrying 1 mathematics and 2 physics books = 3 + 2 + 2 = 7
Taking these two combinations together, I am earning a total of 13 points and carrying at least one book of each category making a total of 6 books.
To maximise points, I should carry four more books which will include 1mathematics and 3 physics book.
∴ Total points earned = 13 + 3 + (2 × 3) = 22
Hence, option (c).