×

# RMO 2016 Karnataka Region(16th Oct)

This discussion has been deleted!

Note by Brilliant Member
1 year ago

Sort by:

solutions are now uploaded on resonance.

- 1 year ago

Have you come to know your result?

- 11 months, 3 weeks ago

- 11 months, 3 weeks ago

I registered through FIITJEE so I will receive my marks when I have my next class(tomorrow).

- 11 months, 3 weeks ago

What is yours? Mine is very bad.

- 11 months, 3 weeks ago

Whats ur score pLS tell!

- 11 months, 3 weeks ago

It's below 10. Almost everyone from Fiitjee south Delhi including sankalp got below 10. What's your score?

- 11 months, 3 weeks ago

Was Delhi RMO paper different from that of Chhattisgarh Region?? Was it more difficult??

- 11 months, 3 weeks ago

It was of INMO level this time. Almost everyone was shocked this time.

- 11 months, 3 weeks ago

The geometry questions were really simple actually. I still am unable to do the Fibonacci series one after one year.

- 4 weeks, 1 day ago

Same here as well.

- 11 months, 2 weeks ago

It was different plus exam pressure also makes a huge difference.

- 11 months, 3 weeks ago

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.

- 11 months, 3 weeks ago

How many questions did you solve Harsh??

- 11 months, 2 weeks ago

Our(West Bengal's) result has not come out.

- 11 months, 3 weeks ago

I am from WB region. Result of our region has not come out.

- 11 months, 3 weeks ago

It was just 5 minutes after the exam was over LOL

- 1 year ago

I Did the first one now in 10 min

- 7 months, 3 weeks ago

It's easy.Which class for you? And did you write RMO?

- 7 months, 3 weeks ago

- 7 months, 3 weeks ago

I am studying for boards now,So probably later..

- 7 months, 3 weeks ago

- 10 months, 1 week ago

How many of you all are selected.

- 10 months, 2 weeks ago

I am selected from Chattisgarh region.

- 10 months, 2 weeks ago

How much scores pals.

- 11 months, 1 week ago

51

- 11 months, 1 week ago

Yours ???

- 11 months, 1 week ago

Wasif how much you scored in Inmo?

- 8 months ago

Wasif what is the highest score in jharkhand

- 10 months, 2 weeks ago

Yours?

- 11 months, 1 week ago

How much is the highest score in your city?

- 11 months, 1 week ago

What is the highest score you have heard till now

- 11 months, 1 week ago

Some other scores are 48,32...

- 11 months, 1 week ago

What is your kvpy expected score

- 11 months, 1 week ago

50-55 as per old answer key

- 11 months ago

46.Can you tell how much chances I have to qualify

- 11 months, 1 week ago

By now i have heard 51(mine),34,41,...and waiting for others . do you know anyone with 60+ score ?

- 11 months, 1 week ago

You have not heard above 60 score till now

- 11 months, 1 week ago

What are the scores from jamshedpur ?

- 11 months, 1 week ago

Sorry I have no idea till now.Can you give me your mail address

- 11 months, 1 week ago

What are the scores from jamshedpur ?????

- 11 months ago

When will the result of Rmo be declared?

- 10 months, 4 weeks ago

Some scores are 15,25 many not received any emails.

- 11 months ago

Sorry wasif no information till now.my friends do not check their mail.

- 11 months ago

@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.

Staff - 1 year ago

It is atleast one common language.

- 1 year ago

Thanks. I've edited the question accordingly.

Staff - 1 year ago

Anyone with 6 th done

- 1 year ago

Both of $$6$$'s subdivions are available in Brilliant.

Grasp here and here

- 1 year ago

20 is the answer for the 4th one

- 1 year ago

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 $1/a < 1/b < 1/c$

- 1 year ago

$\sum_cyc (\frac{a^3}{(a-b)(a-c)} = \sum_cyc a = a + b + c \geq 3 \text{ (by AM-GM)}$

- 4 weeks, 1 day ago

what is the answer of the 4 th one

- 1 year ago

The same question paper was asked in jharkand . Being in eleventh is solving three correctly , enough to qualify ?

- 1 year ago

Has anyone perfectly solved Q.4??

- 1 year ago

Comment deleted 1 year ago

The Farey sequence relates to question 3.

Staff - 1 year ago

Yeah, sorry, looked at the wrong question. Question 4 looks like Pigeonhole Principle.

- 1 year ago

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.

- 1 year ago

Terms are [a^3/{3(a-b)(a-c)}]+a-b/(3^{5/2})+a-c/(3^{5/2})>=a/3

- 1 year ago

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!

- 1 year ago

*a-b is also in bracket.sane with a-c

- 1 year ago

Terms can be negative but they are eventually cancelled so we can apply am-gm

- 1 year ago

@Svatejas Shivakumar Could you post the solution to problem 6?

- 1 year ago

I am from jharkhand.I have solved q1,2,5,6.solution for q4 please

- 1 year ago

You are in which class and did you got dps ranchi as exam centre ?

- 1 year ago

I am from Jamshedpur,in class 11

- 1 year ago

Same paper was for chhattisgarh also!

- 1 year ago

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 :)

- 1 year ago

You cannot apply AM GM Its not given that a-b,b-c,c-a are +ve

- 1 year ago

Comment deleted Oct 16, 2016

Yeah you are right

- 1 year ago

But still denominator of second term is -ve

BTW,Rank In Technothlon?

- 1 year ago

- 1 year ago

you can solve the second one by using am gm inequality

- 1 year ago

Can you post the solution? Also when does equality occur?

- 1 year ago

Which questions did u do?

- 1 year ago

Attempted all. Got 1,5,6 completely. Don't know the answer of 4. Did some progress in 1 and 2.

- 1 year ago

I got 3 questions fully correct and 1 question 25% corrrect

- 1 year ago

Dont u think q-1 is halwa? NCERT Question!!!

- 1 year ago

Really!! Though it was very easy but don't think it could be an NCERT question.

- 1 year ago

Yes even 5 was very easy.

- 1 year ago

Can you please post the complete solution of Q.5??

- 1 year ago

Yes very easy everyone was able to solve it. Did you do Q.3?

- 1 year ago

Yeah did it Though I spent 55 mins on this one

- 1 year ago

Ok it took me also around 30-40 mins. How was RMO?

- 1 year ago

I gave both RMO and GMO

Both went good

- 1 year ago

It is better to evaluate it to be a+b+c

- 1 year ago

It is better if u factorise given expression It is a+b+c

- 1 year ago

All these problems except 3rd one is posted in this brilliant with solutions. Please refer the medium rated problems.

- 1 year ago