## Search found 172 matches

Sun Dec 12, 2010 6:55 am
Forum: Asian Pacific Math Olympiad (APMO)
Topic: Easiest problem of Apmo
Replies: 18
Views: 7847

### Re: Easiest problem of Apmo

Hey, I got the $5^{th}$ solution also. But I couldn't post it as I didn't know that $a,b>0$ :( Here it is: Obviously $(36a+b)=2^m$ and $(36b+a)=2^n$ for some $m,n$. WLOG, let $m\ge n$ $\therefore 2^n|2^m$ $\Rightarrow 2^n|36a+b$ $\Rightarrow 2^n|(36a+b)+2^n$ $\Rightarrow 2^n|(36a+b)+(36b+a)$...
Sun Dec 12, 2010 6:39 am
Forum: Computer Science
Topic: IDE
Replies: 26
Views: 18451

### Re: IDE

হুম, চৌধুরী জাফরউল্লাহ শরাফত বর্তমানে dev c++ ব্যবহার করে...
Sat Dec 11, 2010 9:31 pm
Forum: Site Support
Topic: Some suggestions from me
Replies: 6
Views: 3538

### Re: Some suggestions from me

Nice ! I agree.
Sat Dec 11, 2010 7:27 pm
Forum: Social Lounge
Topic: Mila in BdMO National
Replies: 31
Views: 11694

### Re: Mila in BdMO National

শিরোনামহীন শিরোনামহীন শিরোনামহীন শিরোনামহীন শিরোনামহীন
খুব ভাল পাই
Sat Dec 11, 2010 7:22 pm
Topic: Problems
Replies: 18
Views: 6441

### Re: Problems

Probably Rakeen will give solution of problem 1. Here is solution to problem 2: If we choose any two points that are not on same side of the $n\ gon$ then we will find a straight line. Lets number the sides of $n\ gon$ with $1,2,3,...,n$. Start with side $1$. For each of the $m$ points of this side,...
Sat Dec 11, 2010 1:36 pm
Forum: Geometry
Topic: Geometry Marathon v1.0
Replies: 23
Views: 10904

### Re: Geometry Marathon v1.0

Cabri II says $P,Q$ and $R$ are collinear in problem 1 ! But I couldn't prove it..
Sat Dec 11, 2010 5:25 am
Topic: Problems
Replies: 18
Views: 6441

### Re: Problems

What means unit digit?
Sat Dec 11, 2010 5:21 am
Forum: Social Lounge
Topic: Mila in BdMO National
Replies: 31
Views: 11694

### Re: Mila in BdMO National

মিলা না আসাই মনে হয় ভাল। একবার সে আসছিল BdMO তে, সেই অভিজ্ঞতা থেকেই বলতেছি। যেমন মনে করেন, গতবার এসে সে গান গাইতে গাইতে একসময় "রূপবানে নাচে" বলে অতি উৎসাহের সাথে উপস্থিত দর্শকদের দিকে মাইক ধরল। সবাই চুপচাপ, অভিভাবকরা বিরক্ত। হাস্যকর পরিস্থিতি
Fri Dec 10, 2010 8:21 pm
Forum: Number Theory
Topic: Find the number of x
Replies: 8
Views: 3650

### Re: Find the number of x

O O... Probably I haven't understood the question.. Does $12$ belong to the solution set?
Fri Dec 10, 2010 7:24 pm
$a\equiv b(mod\ n)$ means if you divide $a$ and $b$ by $n$, you will get same residue. In other words, $a-b$ is divisible by $n$.