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All Questions Answers
Score Newest
question
12
Union of sets having $\binom{n - 1}{2}$ elements with each two of them having $n - 2$ common elements has cardinality of at least $\binom{n}{3}$.
Mar 8, 2022
question
9
$\{x^2\} = \{x\}^2$, how many solutions in interval $[1, 10]$
Nov 5, 2021
question
8
Number of points chosen form a polygon to have no isosceles and equilateral triangles.
Feb 4, 2021
question
4
The number of functions $f: \mathcal{P}(A) \to \mathcal{P}(B)$ for which $f(X) \cap f(Y) = f(X \cap Y)$
Nov 8, 2022
question
4
Prove that for every $k$ we can find a sequence of consecutive numbers, such all the products of their number of divisors are not perfect squares
Nov 3, 2021
question
3
Minimum sum of digits for a polynomial
Jan 18, 2021
question
3
Find functions $f\left(x_{1}x_{2}\right)+f\left(x_{2}x_{3}\right)+\ldots+f\left(x_{n}x_{1}\right) \ge n \cdot f\left(x_{1}+x_{2}+\ldots+x_{n}\right)$
Mar 8
question
3
Prove that the minimum value of all products of two values is less than $-\frac{1}{n}$.
Nov 19, 2022
question
3
Find all the real numbers an expression might take when $a, b, c$ are complex numbers of the same modulus.
Nov 7, 2022
question
3
Functional equation in $\displaystyle \mathbb{Z} \to \mathbb{Z}$: $2014f(f(x)) + 2013f(x) = x$
Mar 18, 2022
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