Dhaka Higher Secondary 2011/8

Problem for Higher Secondary Group from Divisional Mathematical Olympiad will be solved here.
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Please don't post problems (by starting a topic) in the "Higher Secondary: Solved" forum. This forum is only for showcasing the problems for the convenience of the users. You can post the problems in the main Divisional Math Olympiad forum. Later we shall move that topic with proper formatting, and post in the resource section.
bristy1588
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Re: Dhaka Higher Secondary 2011/8

Can Aanyone tell me why i m wrong and what is the correct answer?
Bristy Sikder

nafistiham
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Re: Dhaka Higher Secondary 2011/8

হায় হায়! ফাহিম ভাইয়ারও এই উত্তর আসছে । আমি কয়েকজনকে তো এভাবেই দেখালাম । কিন্তু কিভাবে হবে ? এই টপিকে তো কোথাও সমাধানটা নাই ।
$\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0$
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bristy1588
Posts: 92
Joined: Sun Jun 19, 2011 10:31 am

Re: Dhaka Higher Secondary 2011/8

nafistiham wrote:হায় হায়! ফাহিম ভাইয়ারও এই উত্তর আসছে । আমি কয়েকজনকে তো এভাবেই দেখালাম । কিন্তু কিভাবে হবে ? এই টপিকে তো কোথাও সমাধানটা নাই ।
Tiham, Fahim er Solution ta ki??
Bristy Sikder

Labib
Posts: 411
Joined: Thu Dec 09, 2010 10:58 pm

Re: Dhaka Higher Secondary 2011/8

I've got $6(115\cdot 146+11\cdot 147)$.
Really confused...
Please post your full solutions.... I'll post mine tomorrow.
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nafistiham
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Re: Dhaka Higher Secondary 2011/8

unfortunately, my solution is so long that i hardly can even write it in my exercise book.so, i am trying to shorten it.whenever i can, i'll post
$\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0$
Using $L^AT_EX$ and following the rules of the forum are very easy but really important, too.Please co-operate.

Labib
Posts: 411
Joined: Thu Dec 09, 2010 10:58 pm

Re: Dhaka Higher Secondary 2011/8

Here's my proof... (short version)
Last edited by Labib on Thu Dec 15, 2011 3:52 pm, 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

Labib
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Joined: Thu Dec 09, 2010 10:58 pm

Re: Dhaka Higher Secondary 2011/8

Alright! done editing and the solution's ready to go...
Waiting for others to post their solution.
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

mission264
Posts: 6
Joined: Sun Jan 05, 2014 5:27 pm

Re: Dhaka Higher Secondary 2011/8

i've got $N=2^6 \cdot 3^2 \cdot 37$

Labib
Posts: 411
Joined: Thu Dec 09, 2010 10:58 pm
I think the solution should be $2^6.3^2.37$. But it doesn't seem to fit with the problem statement.
Please Install $L^AT_EX$ fonts in your PC for better looking equations,