Question

What is the area of $PXQY$ in the rectangle $ABCD$ in the following diagram?

score 97 · Answer 1 · 2026-03-25 13:57:02

97

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What is the area of $PXQY$ in the rectangle $ABCD$ in the following diagram?

Published on 25 Mar 2026 - 13:57

score 78 · Answer 2 · 2026-03-28 10:56:17

78

Views

What is the area of $\triangle ABC$ if area of $ABEF$ and $BCFD$ is 15 and 23 in the following diagram?

Published on 28 Mar 2026 - 10:56

score 465 · Answer 3 · 2026-03-27 21:19:06

465

Views

A more natural solution to finding the general terms of a recurrence relation in $2$ variables

Published on 27 Mar 2026 - 21:19

score 86 · Answer 4 · 2026-03-25 17:26:53

86

Views

What is the LCM of a and b if $(a+2 \sqrt{2} )/b$ is the ration of the area of larger circle and smaller circles?

Published on 25 Mar 2026 - 17:26

score 41 · Answer 5 · 2019-02-20 15:02:04

41

Views

value of $f(2008)$ in $4$ th degree polynomial

Published on 20 Feb 2019 - 15:02

score 89 · Answer 6 · 2026-03-28 10:56:21

89

Views

What is the area of $OEAF$ in $ABC$ triangle in the following diagram?

Published on 28 Mar 2026 - 10:56

score 294 · Answer 7 · 2026-03-27 14:56:45

294

Views

Finding the ratio of a side of $\triangle ABC$ and its segment where one cevian line from the opposite vertex intersect the side in any point

Published on 27 Mar 2026 - 14:56

score 56 · Answer 8 · 2026-03-27 23:14:23

56

Views

Find all the solutions $(x,y,z)$ $\in \Bbb Z^+$ such that $(x+1)^y-x^z=1$

Published on 27 Mar 2026 - 23:14

score 124 · Answer 9 · 2019-02-21 00:05:29

124

Views

Proving concurrence in a convex quadrilateral and circumcircles

Published on 21 Feb 2019 - 0:05

score 105 · Answer 10 · 2019-02-21 01:12:15

105

Views

A question about INMO 2017, Question 3

Published on 21 Feb 2019 - 1:12

score 80 · Answer 11 · 2026-03-28 16:44:17

80

Views

If $a, b, c, d$ exists s.t. $p=a^2+kb^2$, $pn=c^2+kd^2$, proof that integer $x, y$ such that $n=x^2+ky^2$ exists.

Published on 28 Mar 2026 - 16:44

score 111 · Answer 12 · 2026-03-25 06:13:26

111

Views

Proving the divisibility of $4[(n-1)!+1]+n$ by $n(n+2)$ in the condition of $n,n+2 \in P$ where $P$ is the set of prime numbers

Published on 25 Mar 2026 - 6:13

score 106 · Answer 13 · 2019-02-21 12:30:05

106

Views

Prove $\frac{m(1-m)}{n}+1\leq\frac{n^m-m^m}{x^m}\leq m(1-m)+n$

Published on 21 Feb 2019 - 12:30

score 182 · Answer 14 · 2019-02-21 13:40:32

182

Views

Amidst $7$ prime numbers, difference of the largest and the smallest prime number is $d$. What is the highest possible value of $d$?

Published on 21 Feb 2019 - 13:40

score 108 · Answer 15 · 2019-02-22 04:48:04

108

Views

Showing that, if $n,10$ are coprime, then the last $3$ digits of $n^{101}$ will be the same as $n$'s.

Published on 22 Feb 2019 - 4:48

List Question

What is the area of $PXQY$ in the rectangle $ABCD$ in the following diagram?

What is the area of $\triangle ABC$ if area of $ABEF$ and $BCFD$ is 15 and 23 in the following diagram?

A more natural solution to finding the general terms of a recurrence relation in $2$ variables

What is the LCM of a and b if $(a+2 \sqrt{2} )/b$ is the ration of the area of larger circle and smaller circles?

value of $f(2008)$ in $4$ th degree polynomial

What is the area of $OEAF$ in $ABC$ triangle in the following diagram?

Finding the ratio of a side of $\triangle ABC$ and its segment where one cevian line from the opposite vertex intersect the side in any point

Find all the solutions $(x,y,z)$ $\in \Bbb Z^+$ such that $(x+1)^y-x^z=1$

Proving concurrence in a convex quadrilateral and circumcircles

A question about INMO 2017, Question 3

If $a, b, c, d$ exists s.t. $p=a^2+kb^2$, $pn=c^2+kd^2$, proof that integer $x, y$ such that $n=x^2+ky^2$ exists.

Proving the divisibility of $4[(n-1)!+1]+n$ by $n(n+2)$ in the condition of $n,n+2 \in P$ where $P$ is the set of prime numbers

Prove $\frac{m(1-m)}{n}+1\leq\frac{n^m-m^m}{x^m}\leq m(1-m)+n$

Amidst $7$ prime numbers, difference of the largest and the smallest prime number is $d$. What is the highest possible value of $d$?

Showing that, if $n,10$ are coprime, then the last $3$ digits of $n^{101}$ will be the same as $n$'s.

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