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Pigeonhole Principle – MCQs for Practice

Welcome to your Pigeonhole Principle – MCQs for Practice

If 30 students choose 4 projects, one project has at least:

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If you distribute 100 candies to 8 kids, the minimum number a kid must receive is:

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In any group of 6 people, two must have:

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Among 367 people, at least two have the same:

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You want at least 2 candies of same color; if there are 6 colors, minimum picks:

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From 51 integers, at least two must have the same remainder when divided by:

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A drawer contains 6 red and 5 blue socks. How many picks guarantee a pair of same color?

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15 objects distributed into 4 boxes → minimum in one box:

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In a class of 30 students, the minimum number of students sharing a birth month is:

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If 8 pigeons are placed in 3 holes, at least one hole has:

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The generalized pigeonhole principle:

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Among 101 people, two must share the same:

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If 25 numbers are chosen from 1–48, at least two numbers must:

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The pigeonhole principle helps prove:

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Which problem type commonly uses pigeonhole principle?

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If 10 people shake hands, at least two have the same number of handshakes because:

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If you place 13 socks into 12 drawers, at least one drawer has:

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If 20 numbers are selected from 1–30, two must be:

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The Pigeonhole Principle states that if n items are put into m containers,

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If 5 digits are chosen from 0–9, at least two digits must:

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