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On division by gcd

score 282 · Answer 1 · 2026-03-28 19:45:58

282

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On division by gcd

Published on 28 Mar 2026 - 19:45

score 91 · Answer 2 · 2019-11-18 13:04:14

91

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Let $S=\{1,2,3,\ldots, 2n\}.$ If $P\subseteq S$ such that $x,y\in P \rightarrow x\nmid y$ and $y \nmid x$ then what is the maximum cardinality of $P$

Published on 18 Nov 2019 - 13:04

score 559 · Answer 3 · 2019-11-18 19:54:02

559

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A question related with Erdos–Szekeres theorem

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score 143 · Answer 4 · 2019-11-19 21:10:44

143

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Prove or disprove whether there exists two subsets of $X$ such that sum of all the elements in each of these set is same

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score 637 · Answer 5 · 2019-11-24 08:47:23

637

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Proof of Erdos-Szekeres Theorem

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score 1.6k · Answer 6 · 2019-11-27 07:08:18

1.6k

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25 Boys and 25 Girls Sitting around Circular Table

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score 151 · Answer 7 · 2019-11-30 19:27:12

151

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Pick $n+2$ integers from a set of $2n-1$. Prove that the sum of $2$ of the selected integers will be equal to one of the selected numbers

Published on 30 Nov 2019 - 19:27

score 219 · Answer 8 · 2019-11-30 22:17:02

219

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How to apply pigeonhole principle to a binary string problem

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score 232 · Answer 9 · 2026-02-23 08:33:07

232

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Prove that there's a multiple of 1997 which has only ones in its decimal expansion

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score 1.2k · Answer 10 · 2019-12-03 22:48:05

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Moving counters on a chessboard

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score 205 · Answer 11 · 2019-12-03 23:40:43

205

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Prove that given 17 integers, the sum of 9 of them is divisible by 9.

Published on 03 Dec 2019 - 23:40

score 3.7k · Answer 12 · 2019-12-05 10:51:10

3.7k

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How many cards must be picked to guarantee you have 10 cards of the same suit?

Published on 05 Dec 2019 - 10:51

score 1.6k · Answer 13 · 2019-12-06 06:38:53

Prove or disprove that in an 8-element subsets of $\{1,2…,30\}$ there must exist two $4$-element subsets that sum to the same number.

score 441 · Answer 14 · 2019-12-07 01:16:54

441

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Pigeonhole Principle - Sum of Subsets

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score 50 · Answer 15 · 2019-12-07 11:50:04

50

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How many people needed for a party?

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List Question

On division by gcd

Let $S=\{1,2,3,\ldots, 2n\}.$ If $P\subseteq S$ such that $x,y\in P \rightarrow x\nmid y$ and $y \nmid x$ then what is the maximum cardinality of $P$

A question related with Erdos–Szekeres theorem

Prove or disprove whether there exists two subsets of $X$ such that sum of all the elements in each of these set is same

Proof of Erdos-Szekeres Theorem

25 Boys and 25 Girls Sitting around Circular Table

Pick $n+2$ integers from a set of $2n-1$. Prove that the sum of $2$ of the selected integers will be equal to one of the selected numbers

How to apply pigeonhole principle to a binary string problem

Prove that there's a multiple of 1997 which has only ones in its decimal expansion

Moving counters on a chessboard

Prove that given 17 integers, the sum of 9 of them is divisible by 9.

How many cards must be picked to guarantee you have 10 cards of the same suit?

Prove or disprove that in an 8-element subsets of $\{1,2…,30\}$ there must exist two $4$-element subsets that sum to the same number.

Pigeonhole Principle - Sum of Subsets

How many people needed for a party?

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