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RMO 2016 Karnataka Region(16th Oct)


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Note by Svatejas Shivakumar
9 months, 1 week ago

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solutions are now uploaded on resonance. Svatejas Shivakumar · 9 months, 1 week ago

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@Svatejas Shivakumar Have you come to know your result? Sayantan Saha · 8 months, 3 weeks ago

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@Svatejas Shivakumar What is your rmo score? Sayantan Saha · 8 months, 3 weeks ago

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@Sayantan Saha I registered through FIITJEE so I will receive my marks when I have my next class(tomorrow). Svatejas Shivakumar · 8 months, 3 weeks ago

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@Sayantan Saha What is yours? Mine is very bad. Kushagra Sahni · 8 months, 3 weeks ago

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@Kushagra Sahni Whats ur score pLS tell! Kaustubh Miglani · 8 months, 3 weeks ago

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@Kaustubh Miglani It's below 10. Almost everyone from Fiitjee south Delhi including sankalp got below 10. What's your score? Kushagra Sahni · 8 months, 3 weeks ago

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@Kushagra Sahni Was Delhi RMO paper different from that of Chhattisgarh Region?? Was it more difficult?? Saurabh Mallik · 8 months, 3 weeks ago

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@Saurabh Mallik It was of INMO level this time. Almost everyone was shocked this time. Kushagra Sahni · 8 months, 3 weeks ago

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@Kushagra Sahni Same here as well. Saurabh Mallik · 8 months, 2 weeks ago

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@Saurabh Mallik It was different plus exam pressure also makes a huge difference. Harsh Shrivastava · 8 months, 3 weeks ago

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@Harsh Shrivastava Yes and if the paper is like that we get more scared and I realised I could have got 5-6 marks more had I been not depressed after looking at the paper. I lost all my confidence after looking at the paper. Kushagra Sahni · 8 months, 3 weeks ago

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@Kushagra Sahni How many questions did you solve Harsh?? Saurabh Mallik · 8 months, 2 weeks ago

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@Kaustubh Miglani Our(West Bengal's) result has not come out. Sayantan Saha · 8 months, 3 weeks ago

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@Kushagra Sahni I am from WB region. Result of our region has not come out. Sayantan Saha · 8 months, 3 weeks ago

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@Svatejas Shivakumar It was just 5 minutes after the exam was over LOL Vicky Vignesh · 9 months, 1 week ago

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I Did the first one now in 10 min Meera Somani · 4 months, 3 weeks ago

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@Meera Somani It's easy.Which class for you? And did you write RMO? Anik Mandal · 4 months, 3 weeks ago

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@Rohit Camfar I am studying for boards now,So probably later.. Anik Mandal · 4 months, 3 weeks ago

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Solution 1.link text Rohit Camfar · 7 months, 1 week ago

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How many of you all are selected. Mayank Jha · 7 months, 2 weeks ago

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@Mayank Jha I am selected from Chattisgarh region. Harsh Shrivastava · 7 months, 2 weeks ago

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How much scores pals. Mayank Jha · 8 months, 1 week ago

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@Mayank Jha 51 Wasif Jawad Hussain · 8 months, 1 week ago

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@Wasif Jawad Hussain Yours ??? Wasif Jawad Hussain · 8 months, 1 week ago

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@Wasif Jawad Hussain Wasif how much you scored in Inmo? Mayank Jha · 5 months ago

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@Wasif Jawad Hussain Wasif what is the highest score in jharkhand Mayank Jha · 7 months, 2 weeks ago

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@Wasif Jawad Hussain Yours? Wasif Jawad Hussain · 8 months, 1 week ago

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@Wasif Jawad Hussain How much is the highest score in your city? Mayank Jha · 8 months, 1 week ago

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@Mayank Jha What is the highest score you have heard till now Mayank Jha · 8 months, 1 week ago

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@Mayank Jha Some other scores are 48,32... Wasif Jawad Hussain · 8 months, 1 week ago

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@Wasif Jawad Hussain What is your kvpy expected score Mayank Jha · 8 months, 1 week ago

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@Mayank Jha 50-55 as per old answer key Wasif Jawad Hussain · 8 months, 1 week ago

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@Wasif Jawad Hussain 46.Can you tell how much chances I have to qualify Mayank Jha · 8 months, 1 week ago

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@Mayank Jha By now i have heard 51(mine),34,41,...and waiting for others . do you know anyone with 60+ score ? Wasif Jawad Hussain · 8 months, 1 week ago

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@Wasif Jawad Hussain You have not heard above 60 score till now Mayank Jha · 8 months, 1 week ago

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@Wasif Jawad Hussain What are the scores from jamshedpur ? Wasif Jawad Hussain · 8 months, 1 week ago

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@Wasif Jawad Hussain Sorry I have no idea till now.Can you give me your mail address Mayank Jha · 8 months, 1 week ago

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@Mayank Jha What are the scores from jamshedpur ????? Wasif Jawad Hussain · 8 months ago

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@Wasif Jawad Hussain When will the result of Rmo be declared? Mayank Jha · 8 months ago

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@Wasif Jawad Hussain Some scores are 15,25 many not received any emails. Mayank Jha · 8 months ago

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@Wasif Jawad Hussain Sorry wasif no information till now.my friends do not check their mail. Mayank Jha · 8 months ago

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@Svatejas Shivakumar @Sharky Kesa Can either of you help me verify the phrasing of Q4? Is it "exactly one common language" or "at least one common language"?

It makes a huge difference in appoaching the problem. Calvin Lin Staff · 9 months ago

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@Calvin Lin It is atleast one common language. Anik Mandal · 9 months ago

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@Anik Mandal Thanks. I've edited the question accordingly. Calvin Lin Staff · 9 months ago

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Anyone with 6 th done Aakash Khandelwal · 9 months ago

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@Aakash Khandelwal Both of \(6\)'s subdivions are available in Brilliant.

Grasp here and here Vicky Vignesh · 9 months ago

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20 is the answer for the 4th one Mayank Jha · 9 months, 1 week ago

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Is the following solution correct for P2?

WLOG \(a>b>c\) Multiplying both sides by \((a-b)(b-c)(c-a)\), it suffices to prove \(\sum a^3(b-c) \ge 3(a-b)(b-c)(c-a)\).

Expanding both sides and simplifying , this reduces to prove \(\sum (a^3b+3a^2b) \ge \sum( ab^3+3ab^2)\). Using \(abc=1\) this simplifies to show \[\sum \frac{a^2+3a}{c} \ge \sum \frac{a^2+3a}{b}\]

But this is just rearrangement on \[a^3+3a>b^3+3b>c^3+3c\] and \[1/a < 1/b < 1/c\] AceKnight Trogh · 9 months, 1 week ago

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what is the answer of the 4 th one Abhishek Alva · 9 months, 1 week ago

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The same question paper was asked in jharkand . Being in eleventh is solving three correctly , enough to qualify ? Wasif Jawad Hussain · 9 months, 1 week ago

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Has anyone perfectly solved Q.4?? Saurabh Mallik · 9 months, 1 week ago

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Comment deleted 9 months ago

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@Sharky Kesa The Farey sequence relates to question 3. Calvin Lin Staff · 9 months ago

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@Calvin Lin Yeah, sorry, looked at the wrong question. Question 4 looks like Pigeonhole Principle. Sharky Kesa · 9 months ago

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For q2 since a,b,c are distinct WLOG a>b>c.Take a=c+y,b=c+x,and replace a,b with the above values in lhs and on solving you get finally lhs as 3c+x+y which is nothing but a+b+c,now apply am-gm,to prove it. Mayank Jha · 9 months, 1 week ago

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Terms are [a^3/{3(a-b)(a-c)}]+a-b/(3^{5/2})+a-c/(3^{5/2})>=a/3 Manas Verma · 9 months, 1 week ago

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@Manas Verma Better use the formatting guide to write the expression.

\(\frac{a^{3}}{3(a-b)(a-c)}+\frac{a-b}{3^{5/2}}+\frac{a-c}{3^{5/2}} \geq \frac{a}{3}\)

That looks better and much understandable too! Saurabh Mallik · 9 months, 1 week ago

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@Manas Verma *a-b is also in bracket.sane with a-c Manas Verma · 9 months, 1 week ago

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Terms can be negative but they are eventually cancelled so we can apply am-gm Manas Verma · 9 months, 1 week ago

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@Svatejas Shivakumar Could you post the solution to problem 6? Milind Prabhu · 9 months, 1 week ago

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I am from jharkhand.I have solved q1,2,5,6.solution for q4 please Mayank Jha · 9 months, 1 week ago

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@Mayank Jha You are in which class and did you got dps ranchi as exam centre ? Wasif Jawad Hussain · 9 months, 1 week ago

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@Wasif Jawad Hussain I am from Jamshedpur,in class 11 Mayank Jha · 9 months, 1 week ago

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Same paper was for chhattisgarh also! Manas Verma · 9 months, 1 week ago

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Apply am -gm for these a^3/3(a-b)(a-c)+(a-b)/3^(5/2)+(a-c)/3^(5/2) Which is>=a/3 Now write same expressions for b and c and add all three We get in rhs- a+b+c/3>=1(am-gm) Hence proved :) Manas Verma · 9 months, 1 week ago

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@Manas Verma You cannot apply AM GM Its not given that a-b,b-c,c-a are +ve Kaustubh Miglani · 9 months, 1 week ago

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@Naitik Sanghavi Yeah you are right Kaustubh Miglani · 9 months, 1 week ago

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@Kaustubh Miglani But still denominator of second term is -ve

BTW,Rank In Technothlon? Kaustubh Miglani · 9 months, 1 week ago

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@Manas Verma can u put brackets please Abhishek Alva · 9 months, 1 week ago

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you can solve the second one by using am gm inequality Abhishek Alva · 9 months, 1 week ago

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@Abhishek Alva Can you post the solution? Also when does equality occur? Svatejas Shivakumar · 9 months, 1 week ago

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@Svatejas Shivakumar Which questions did u do? Kaustubh Miglani · 9 months, 1 week ago

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@Kaustubh Miglani Attempted all. Got 1,5,6 completely. Don't know the answer of 4. Did some progress in 1 and 2. Svatejas Shivakumar · 9 months, 1 week ago

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@Svatejas Shivakumar I got 3 questions fully correct and 1 question 25% corrrect Kaustubh Miglani · 9 months, 1 week ago

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@Svatejas Shivakumar Dont u think q-1 is halwa? NCERT Question!!! Kaustubh Miglani · 9 months, 1 week ago

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@Kaustubh Miglani Really!! Though it was very easy but don't think it could be an NCERT question. Saurabh Mallik · 9 months, 1 week ago

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@Kaustubh Miglani Yes even 5 was very easy. Svatejas Shivakumar · 9 months, 1 week ago

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@Svatejas Shivakumar Can you please post the complete solution of Q.5?? Saurabh Mallik · 9 months, 1 week ago

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@Kaustubh Miglani Yes very easy everyone was able to solve it. Did you do Q.3? Kushagra Sahni · 9 months, 1 week ago

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@Kushagra Sahni Yeah did it Though I spent 55 mins on this one Kaustubh Miglani · 9 months, 1 week ago

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@Kaustubh Miglani Ok it took me also around 30-40 mins. How was RMO? Kushagra Sahni · 9 months, 1 week ago

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@Kushagra Sahni I gave both RMO and GMO

Both went good Kaustubh Miglani · 9 months, 1 week ago

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@Svatejas Shivakumar It is better to evaluate it to be a+b+c Kaustubh Miglani · 9 months, 1 week ago

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@Svatejas Shivakumar It is better if u factorise given expression It is a+b+c Cdsc Dsc · 9 months, 1 week ago

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All these problems except 3rd one is posted in this brilliant with solutions. Please refer the medium rated problems. Vicky Vignesh · 9 months, 1 week ago

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