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ONTC Final Exam

Posted: Mon Aug 31, 2015 9:26 pm
by Masum
আজকে কয়েক মিনিট আগেই সমস্যা দিয়ে দেওয়া হলো।
কাল রাত ১০ টার মধ্যে সমাধান জমা দিবে।

Re: ONTC Final Exam

Posted: Mon Aug 31, 2015 11:09 pm
by rah4927
Are you sure problem 5 doesn't have any typos? Seems likely because otherwise the problem seems rather unsymmetric wrt the variables.

Re: ONTC Final Exam

Posted: Tue Sep 01, 2015 11:49 am
by rah4927
Can anyone provide a translated version of problem 4? More specifically, are the $1993$ points inside the polygon or are they the vertices of the polygon? Moreover, are the vertices of the polygon all lattice points?

Re: ONTC Final Exam

Posted: Tue Sep 01, 2015 12:23 pm
by Masum
no problem even if there is typo in problem 5. all the same. As for problem 4, replace the word bindu with shirsho

Re: ONTC Final Exam

Posted: Tue Sep 01, 2015 12:24 pm
by maliha ferdous
the lattice points are the vertices of the polygons

Re: ONTC Final Exam

Posted: Tue Sep 01, 2015 1:41 pm
by Reem Jheem
Problem 5 e ki m+(1/mn) hobe?

Re: ONTC Final Exam

Posted: Tue Sep 01, 2015 2:09 pm
by Masum
I will accept both of them, whichever you work with. The given one or the cyclic one.

Re: ONTC Final Exam

Posted: Tue Sep 01, 2015 7:05 pm
by Masum
It seems everyone didn't understand that in problem $8$, $a$ is an infinite series after decimal which has all the prime numbers consecutively. I thought you all would understand what it really meant. Anyway, there is still time left before submission. So correct your solutions accordingly

Re: ONTC Final Exam

Posted: Tue Sep 01, 2015 9:51 pm
by prantick
problem 3 solution: 2 ti bijor number er difference jodi 4 er gunitok hoy tahole sei 2 ta number er jogfol 4 dara nisheshe vag jay na.. kintu difference jodi only 2 er gunitok hoy tahole bivajjo hoy..... so je duita number er differ 4 er gunitok mane seitai hocce sei duita number er biyogfol.... so seita 4 dara nisheshe bivaggo..

Re: ONTC Final Exam

Posted: Tue Sep 01, 2015 10:49 pm
by Masum
You just made a takla post lol Use english or bengali in bangla fonts