Multiple choice general knowledge math & puzzles

Fourteen fruits and twenty two flowers are to be distributed among 10 people in such a way that each person gets something. Anyone who gets more than two flowers cannot get more than one fruit and anyone who gets more than one fruit cannot get more than three flowers. What is the maximum number of flowers that one can get?

  1. 3

  2. 5

  3. 19

  4. 22

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

We have 14 fruits and 22 flowers to distribute among 10 people, each getting something. Constraints: >2 flowers → ≤1 fruit, and >1 fruit → ≤3 flowers. To maximize flowers for one person, give them as many flowers as possible while minimizing their fruits (0 or 1). If one person gets all 22 flowers and 0 fruits, others get 14 fruits among 9 people. This works as long as no one else violates constraints. We can give the remaining 9 people their share while keeping the 22-flower person within rules. Maximum = 22.