## ONTC Final Exam

Discussion on Bangladesh National Math Camp
Masum
Posts: 592
Joined: Tue Dec 07, 2010 1:12 pm

### ONTC Final Exam

আজকে কয়েক মিনিট আগেই সমস্যা দিয়ে দেওয়া হলো।
কাল রাত ১০ টার মধ্যে সমাধান জমা দিবে।
Attachments
ont_exam3.pdf
One one thing is neutral in the universe, that is \$0\$.

rah4927
Posts: 108
Joined: Sat Feb 07, 2015 9:47 pm

### Re: ONTC Final Exam

Are you sure problem 5 doesn't have any typos? Seems likely because otherwise the problem seems rather unsymmetric wrt the variables.

rah4927
Posts: 108
Joined: Sat Feb 07, 2015 9:47 pm

### Re: ONTC Final Exam

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?
Last edited by rah4927 on Tue Sep 01, 2015 2:23 pm, edited 1 time in total.

Masum
Posts: 592
Joined: Tue Dec 07, 2010 1:12 pm

### Re: ONTC Final Exam

no problem even if there is typo in problem 5. all the same. As for problem 4, replace the word bindu with shirsho
One one thing is neutral in the universe, that is \$0\$.

maliha ferdous
Posts: 2
Joined: Thu Mar 26, 2015 11:05 am

### Re: ONTC Final Exam

the lattice points are the vertices of the polygons

Reem Jheem
Posts: 1
Joined: Wed Aug 19, 2015 12:40 am

### Re: ONTC Final Exam

Problem 5 e ki m+(1/mn) hobe?

Masum
Posts: 592
Joined: Tue Dec 07, 2010 1:12 pm

### Re: ONTC Final Exam

I will accept both of them, whichever you work with. The given one or the cyclic one.
One one thing is neutral in the universe, that is \$0\$.

Masum
Posts: 592
Joined: Tue Dec 07, 2010 1:12 pm

### Re: ONTC Final Exam

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
One one thing is neutral in the universe, that is \$0\$.

prantick
Posts: 12
Joined: Thu Jan 08, 2015 9:00 pm

### Re: ONTC Final Exam

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..

Masum
Posts: 592
Joined: Tue Dec 07, 2010 1:12 pm