List questions from problem-solving

Published on 14 Apr 2026 - 10:42

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Is this puzzle an abstraction of already existing problem?

Published on 12 Apr 2026 - 9:15

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Reshaped second order differential equation

Published on 12 Apr 2026 - 18:08

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Arrange 6 fruits from three identical watermelons, three identical bananas and three identical strawberries.

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$3^{123} \mod 100$

Published on 16 Apr 2026 - 21:46

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Basis for lie algebra sl(n,F) : $\mathfrak{sl}(2,F)$

Published on 28 Mar 2026 - 16:45

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Rolling two dice to find the probability of the sum of the answers being less than one

Published on 14 Apr 2026 - 21:15

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How to become more creative in problem solving?

Published on 10 Apr 2026 - 0:12

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Converse of "$3|a \ and \ 3|b \implies 3|(a+b)$"

Published on 16 Apr 2026 - 12:30

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If $a, b, c$ are positive numbers with $abc=1$, then $(a+\frac{1}{b})^2+(b+\frac{1}{c})^2+(c+\frac{1}{a})^2\ge 3(a+b+c+1)$.

Published on 16 Apr 2026 - 12:57

353

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Prove that $1<\frac{1}{1001}+\frac{1}{1002}+\cdots+\frac{1}{3001}<\frac{4}{3}$

Published on 25 Mar 2026 - 22:05

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finding the final position given pattern of movement.

Published on 14 Apr 2026 - 2:36

124

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Solve $x_1+x_2+x_3+...+x_6<10$ if $x_i $ are non -negative integers

Published on 17 Apr 2026 - 14:51

118

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Show that an inequality holds for all positive real numbers $a, b$ such that $ab \geq 1$

Published on 13 Apr 2026 - 14:10

99

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Prove $\sqrt{a} \cos^2(\theta) + \sqrt{b} \sin^2(\theta) < \sqrt{c}$ if $a\cos^2(\theta) + b \sin^2(\theta) < c$

Published on 16 Apr 2026 - 13:10

List Question

Probability of random number being within 20 of another

Is this puzzle an abstraction of already existing problem?

Reshaped second order differential equation

Arrange 6 fruits from three identical watermelons, three identical bananas and three identical strawberries.

$3^{123} \mod 100$

Basis for lie algebra sl(n,F) : $\mathfrak{sl}(2,F)$

Rolling two dice to find the probability of the sum of the answers being less than one

How to become more creative in problem solving?

Converse of "$3|a \ and \ 3|b \implies 3|(a+b)$"

If $a, b, c$ are positive numbers with $abc=1$, then $(a+\frac{1}{b})^2+(b+\frac{1}{c})^2+(c+\frac{1}{a})^2\ge 3(a+b+c+1)$.

Prove that $1<\frac{1}{1001}+\frac{1}{1002}+\cdots+\frac{1}{3001}<\frac{4}{3}$

finding the final position given pattern of movement.

Solve $x_1+x_2+x_3+...+x_6<10$ if $x_i $ are non -negative integers

Show that an inequality holds for all positive real numbers $a, b$ such that $ab \geq 1$

Prove $\sqrt{a} \cos^2(\theta) + \sqrt{b} \sin^2(\theta) < \sqrt{c}$ if $a\cos^2(\theta) + b \sin^2(\theta) < c$

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