Question

Harry’s bag can carry at most 10 books. Harry must carry to his school at least one book of Medicine, Quant, Physics and French. For every Medicine book that Harry carries, he must carry more than two French books. For every Quant book that he carries, he must carry more than two books of physics. A Medicine, Quant, Physics and French book carries 4, 3, 2 and 1 points respectively. What are the maximum points that Harry can earn?

• A. 20
• B. 21
• C. 22
• D. 23

Hint:

When maximizing points in such problems, consider the constraints carefully and try to maximize the higher-point items while respecting the given conditions.

Answer 1

The Correct Option is C

To maximize the points, Harry should try to carry as many high-point books as possible, subject to the constraints:
- For every Medicine book (4 points), carry more than two French books (1 point each).
- For every Quant book (3 points), carry more than two Physics books (2 points each).
Harry can maximize his points by choosing the optimal mix of books. After calculating the best combination, the maximum points he can earn is 22.