Search found 86 matches

by Kazi_Zareer
Tue Dec 20, 2016 11:03 am
Forum: Number Theory
Topic: All Russian Olympiad 2009
Replies: 0
Views: 565

All Russian Olympiad 2009

Let $ x$, $ y$ be two integers with $ 2\le x, y\le 100$. Prove that $ x^{2^n} + y^{2^n}$ is not a prime for some positive integer $ n$.
by Kazi_Zareer
Mon Dec 19, 2016 11:32 pm
Forum: Site Support
Topic: Problem! Help anybody!
Replies: 4
Views: 1247

Re: Problem! Help anybody!

This time I've got something like this :?
by Kazi_Zareer
Mon Dec 19, 2016 9:26 pm
Forum: Site Support
Topic: Problem! Help anybody!
Replies: 4
Views: 1247

Problem! Help anybody!

ল্যাপ্টপ বা কম্পিউটার দিয়ে aops community তে গেলে লোড হয়ে এরকম হয়ে যায় (নিচে ছবি)। অথচ মোবাইলে ঠিকই চলে। কি করব??
by Kazi_Zareer
Mon Dec 19, 2016 9:01 pm
Forum: National Math Olympiad (BdMO)
Topic: BdMO National 2008: Secondary
Replies: 5
Views: 1003

BdMO National 2008: Secondary

The function $f (x) $ is a complicated nonlinear function. It satisfies, $ f(x) + f(1-x) = 1 $ . Evaluate $ \int_{0}^{1} f(x)dx $.
by Kazi_Zareer
Sun Dec 18, 2016 1:15 pm
Forum: Junior Level
Topic: Find $$<x+<y$$
Replies: 4
Views: 1127

Re: Find $$<x+<y$$

Use this formula: $(n-2) \times 180^{\circ} $ for measuring the sum of the internal angles of a regular $n$-gon. Now try to think about it.
by Kazi_Zareer
Sun Dec 18, 2016 12:54 am
Forum: Junior Level
Topic: Find $$<x+<y$$
Replies: 4
Views: 1127

Re: Find $$<x+<y$$

( $360^{\circ}$ $-$ $x$ ) $+$ ( $360^{\circ}$ $ - $ $y$ ) = $720^{\circ}$ $ -$ ( $ 30^{\circ}$ $+$ $45^{\circ}$ $+$ $50^{\circ}$ $+$ $25^{\circ}$ )

$ \Rightarrow $ $x$ $+$ $y$ = $150$
by Kazi_Zareer
Sat Dec 17, 2016 11:45 pm
Forum: Geometry
Topic: Heros of 71 (Geometry)
Replies: 7
Views: 1504

Re: Heros of 71 (Geometry)

nahin munkar wrote:kazi zareer actually wants the total manipulation of this result. (He already makes me mad in the class..)
LOL Nahin Munkar! :lol: This post was just two years ago! But I got the solution myself that time (very long ago) :mrgreen:

I will post it later for you ! :P
by Kazi_Zareer
Sat Dec 17, 2016 9:46 pm
Forum: Junior Level
Topic: NUMBER THEORY PROBLEM....
Replies: 4
Views: 1007

Re: NUMBER THEORY PROBLEM....

jayon wrote:if $$x=1$$ , then $$।x−4।$$ will be a negative number ..?!


Do you read about absolute value?

https://en.wikipedia.org/wiki/Absolute_value
by Kazi_Zareer
Sat Dec 10, 2016 6:27 pm
Forum: Junior Level
Topic: BDMO 2013 QUE-9
Replies: 5
Views: 1346

Re: BDMO 2013 QUE-9

This problem was posted earlier. You can find it through this link here below:
http://www.matholympiad.org.bd/forum/vi ... =13&t=2919
by Kazi_Zareer
Sat Dec 10, 2016 6:22 pm
Forum: Junior Level
Topic: Guards in a museum
Replies: 2
Views: 676

Re: Guards in a museum

See the book named "The Art and Craft of Problem Solving " page number 61, Example 2.4.3 for solution