Here I am going to start a marathon for the olympians(specially for the Mymensing participants). A question will be attached here and then the participants have to send the solutions within $1$ day, of-course using LaTeX. The solutions are to be posted through private messages. Send them to me.
The problem set will be posted soon.
Edit: Currently going on Round 1
Preparation Marathon
One one thing is neutral in the universe, that is $0$.
Re: Preparation Marathon
Here is the problem set for the first round. Your scores will be shown here(though that is not important at all 
). This is first time If you find any error or need any clarification, say it here.
Edited typo. Download it again if you have done it already.
Best of luck.
). This is first time If you find any error or need any clarification, say it here.Edited typo. Download it again if you have done it already.
Best of luck.
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One one thing is neutral in the universe, that is $0$.
Re: Preparation Marathon
$3.$ Find all $n ∈ N$ such that $n$ divides both $x^2 − x + 1$ and $x^2 + x + 1$ for some
$x ∈ Z.$
বাংলা অনুবাদ চাচ্ছি...
এখানে, for some $x ∈ Z$ এর মানেটা বুঝতে পারছি না...
$x ∈ Z.$
বাংলা অনুবাদ চাচ্ছি...
এখানে, for some $x ∈ Z$ এর মানেটা বুঝতে পারছি না...
Last edited by Labib on Mon Dec 26, 2011 12:05 am, edited 1 time in total.
Please Install $L^AT_EX$ fonts in your PC for better looking equations,
Learn how to write equations, and don't forget to read Forum Guide and Rules.
"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes
Learn how to write equations, and don't forget to read Forum Guide and Rules.
"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes
Re: Preparation Marathon
There are some $x$ such that...
If you still don't understand then you can ignore this words and do as you think $x$ to be just find such $n$
If you still don't understand then you can ignore this words and do as you think $x$ to be
just find such $n$One one thing is neutral in the universe, that is $0$.
Re: Preparation Marathon
ভাইয়া...
$4.$ $PQ$ is a Perpendicular through $A$.
But what is it perpendicular to?
$4.$ $PQ$ is a Perpendicular through $A$.
But what is it perpendicular to?
Please Install $L^AT_EX$ fonts in your PC for better looking equations,
Learn how to write equations, and don't forget to read Forum Guide and Rules.
"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes
Learn how to write equations, and don't forget to read Forum Guide and Rules.
"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes
Re: Preparation Marathon
I meant tangentially to $\Gamma_1$ but didn't mention that.
One one thing is neutral in the universe, that is $0$.
Re: Preparation Marathon
Should I look for a way to get a numerical value in number 4?
Please Install $L^AT_EX$ fonts in your PC for better looking equations,
Learn how to write equations, and don't forget to read Forum Guide and Rules.
"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes
Learn how to write equations, and don't forget to read Forum Guide and Rules.
"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes
Re: Preparation Marathon
Yes it needs a numerical value
One one thing is neutral in the universe, that is $0$.
Re: Preparation Marathon
It is better if you send the solutions all at a time, and try to take no second chance. Because in the real olympiad you never get a second chance.
One one thing is neutral in the universe, that is $0$.
Re: Preparation Marathon
Labib it will better if you use English according to the forum rules. But you can also PM to Masum vai.Labib wrote:ভাইয়া...
$4.$ $PQ$ is a Perpendicular through $A$.
But what is it perpendicular to?
[N.B: I'm very poor in english.
I don't know what can I do ? ]হার জিত চিরদিন থাকবেই
তবুও এগিয়ে যেতে হবে.........
বাধা-বিঘ্ন না পেরিয়ে
বড় হয়েছে কে কবে.........
তবুও এগিয়ে যেতে হবে.........
বাধা-বিঘ্ন না পেরিয়ে
বড় হয়েছে কে কবে.........