Question

How do I find a number which when divided by 4, 5, 6 and 7 gives 3, 4, 5 and 6 as remainders respectively?

score 138 · Answer 1 · 2026-03-28 11:35:25

138

Views

How do I find a number which when divided by 4, 5, 6 and 7 gives 3, 4, 5 and 6 as remainders respectively?

Published on 28 Mar 2026 - 11:35

score 123 · Answer 2 · 2019-01-31 09:10:16

123

Views

Prove that $\sqrt{\frac{a}{b+c}}+\sqrt{\frac{b}{a+c}}+\sqrt{\frac{c}{a+b}} \gt 2$

Published on 31 Jan 2019 - 9:10

score 375 · Answer 3 · 2019-01-31 09:56:20

375

Views

What is the relation in this sequence

Published on 31 Jan 2019 - 9:56

score 342 · Answer 4 · 2019-01-31 19:10:32

342

Views

General maximization/minimization technique without calculus?

Published on 31 Jan 2019 - 19:10

score 327 · Answer 5 · 2026-03-27 16:03:48

327

Views

In the triangle $\triangle ABC$, $|AB|^3 = |AC|^3 + |BC|^3$. Prove that $\angle ACB > 60^\circ$.

Published on 27 Mar 2026 - 16:03

score 142 · Answer 6 · 2026-03-25 12:27:07

142

Views

A Quadrilateral (The National Mathematical Olympiad in Bulgaria)

Published on 25 Mar 2026 - 12:27

score 368 · Answer 7 · 2019-02-03 00:03:21

368

Views

Q3 from British Mathematical Olympiad Paper 2 1996

Published on 03 Feb 2019 - 0:03

score 150 · Answer 8 · 2026-03-26 13:57:18

150

Views

A problem of factoring a polynomial with a hint

Published on 26 Mar 2026 - 13:57

score 1.1k · Answer 9 · 2026-03-26 22:18:11

1.1k

Views

Determine all functions $f(x)$ such that $f(f(x+y))=f(x)+f(y)$

Published on 26 Mar 2026 - 22:18

score 363 · Answer 10 · 2026-03-25 04:41:37

363

Views

$\sqrt{24ab+25}+\sqrt{24bc+25}+\sqrt{24ca+25}\geq 21$ if $a+b+c=ab+bc+ca$?

Published on 25 Mar 2026 - 4:41

score 517 · Answer 11 · 2019-02-03 08:27:50

517

Views

How many pairs of natural numbers can be formed whose LCM will be $49000$?

Published on 03 Feb 2019 - 8:27

score 357 · Answer 12 · 2019-02-03 14:47:07

357

Views

Understanding AOPS solution of 2018 AMC 12B Problem 16

Published on 03 Feb 2019 - 14:47

score 195 · Answer 13 · 2019-02-03 16:23:14

195

Views

Finding Value of Expression in a Triangle

Published on 03 Feb 2019 - 16:23

score 97 · Answer 14 · 2026-03-29 00:00:09

97

Views

Finding the length of $HD$ in a cyclic right angled $\triangle BCD$ where $CF = 5$ and $FH = 3$ and $FG \perp BD$.

Published on 29 Mar 2026 - 0:00

score 176 · Answer 15 · 2026-03-27 03:59:07

176

Views

Proof for a question regarding order of $n$-tuples of real numbers

Published on 27 Mar 2026 - 3:59

List Question

How do I find a number which when divided by 4, 5, 6 and 7 gives 3, 4, 5 and 6 as remainders respectively?

Prove that $\sqrt{\frac{a}{b+c}}+\sqrt{\frac{b}{a+c}}+\sqrt{\frac{c}{a+b}} \gt 2$

What is the relation in this sequence

General maximization/minimization technique without calculus?

In the triangle $\triangle ABC$, $|AB|^3 = |AC|^3 + |BC|^3$. Prove that $\angle ACB > 60^\circ$.

A Quadrilateral (The National Mathematical Olympiad in Bulgaria)

Q3 from British Mathematical Olympiad Paper 2 1996

A problem of factoring a polynomial with a hint

Determine all functions $f(x)$ such that $f(f(x+y))=f(x)+f(y)$

$\sqrt{24ab+25}+\sqrt{24bc+25}+\sqrt{24ca+25}\geq 21$ if $a+b+c=ab+bc+ca$?

How many pairs of natural numbers can be formed whose LCM will be $49000$?

Understanding AOPS solution of 2018 AMC 12B Problem 16

Finding Value of Expression in a Triangle

Finding the length of $HD$ in a cyclic right angled $\triangle BCD$ where $CF = 5$ and $FH = 3$ and $FG \perp BD$.

Proof for a question regarding order of $n$-tuples of real numbers

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