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21 votes

Some four clubs have exactly $1$ student in common

combinatorics asked Nov 14 '14 at 0:36
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16 votes

Ratio of product from one point and minimum distance

inequality contest-math combinatorial-geometry asked Oct 24 '14 at 19:35
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13 votes

Integer solutions of $x^3-x+9=5y^2$

elementary-number-theory contest-math asked Oct 18 '14 at 3:46
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12 votes

Inequality $(1+x_1)(1+x_2)\ldots(1+x_n)\left(\frac{1}{x_1}+\frac{1}{x_2}+\cdots+\frac{1}{x_n}\right)\geq 2n^2.$

algebra-precalculus inequality contest-math asked Oct 30 '14 at 15:43
math.stackexchange.com

11 votes

Time for all ants to traverse cube

combinatorics asked Oct 16 '14 at 23:58
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11 votes

Number of $K_{10}$ always increases

combinatorics graph-theory probabilistic-method asked Oct 20 '14 at 17:49
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11 votes

Minimum of $\sqrt{\frac{a}{b+c}}+\sqrt{\frac{b}{c+a}}+\sqrt{\frac{c}{a+b}}$

algebra-precalculus inequality contest-math a.m.-g.m.-inequality holder-inequality asked Nov 2 '14 at 20:30
math.stackexchange.com

10 votes

Every $3\times 3$ square has even number of painted cells

combinatorics contest-math extremal-combinatorics asked Oct 29 '14 at 15:43
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8 votes

Integers neither as sum nor difference of perfect powers

elementary-number-theory contest-math asked Oct 31 '14 at 14:51
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8 votes

Floor function inequality $\lfloor a\sqrt{2}\rfloor\lfloor b\sqrt{7}\rfloor <\lfloor ab\sqrt{14}\rfloor$

elementary-number-theory contest-math diophantine-approximation asked Oct 22 '14 at 19:15
math.stackexchange.com

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