12th Grade Generalized Form Quizzes, Questions & Answers

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Generalized Pigeonhole Principle — Harder Reasoning

Take pigeonhole reasoning to the next level! This quiz presents more complex problems where careful logic is required. Try this quiz to sharpen your skills in tackling non-obvious applications of the principle.

Questions: 10 | Attempts: 11 | Last updated: Nov 12, 2025

Sample Question 1
What is the minimum number of people required to ensure at least 10 share a birthday day of the week?

64

63

62

70

Sample Question 2
If 121 items are placed in 12 boxes, at least how many must be in one box?

9

10

11

12

Sample Question 3
How many marbles must be placed into 15 jars to guarantee one jar contains at least 12 marbles?

166

165

167

170