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12th Grade Generalized Form Quizzes , Questions & Answers

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12th Grade

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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: 19   |  Last updated: Jan 20, 2026
  • Sample Question 1
    What is the minimum number of people required to ensure at least 10 share a birthday day of the week?
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  • Sample Question 2
    If 121 items are placed in 12 boxes, at least how many must be in one box?
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  • Sample Question 3
    How many marbles must be placed into 15 jars to guarantee one jar contains at least 12 marbles?
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