@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

@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

@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.
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Kushagra Sahni
·
8 months, 3 weeks ago

@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

@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

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

@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.

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

@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

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

## Comments

Sort by:

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

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– Sayantan Saha · 8 months, 3 weeks ago

Have you come to know your result?Log in to reply

– Sayantan Saha · 8 months, 3 weeks ago

What is your rmo score?Log in to reply

– Svatejas Shivakumar · 8 months, 3 weeks ago

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

– Kushagra Sahni · 8 months, 3 weeks ago

What is yours? Mine is very bad.Log in to reply

– Kaustubh Miglani · 8 months, 3 weeks ago

Whats ur score pLS tell!Log in to reply

– Kushagra Sahni · 8 months, 3 weeks ago

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

– Saurabh Mallik · 8 months, 3 weeks ago

Was Delhi RMO paper different from that of Chhattisgarh Region?? Was it more difficult??Log in to reply

– Kushagra Sahni · 8 months, 3 weeks ago

It was of INMO level this time. Almost everyone was shocked this time.Log in to reply

– Saurabh Mallik · 8 months, 2 weeks ago

Same here as well.Log in to reply

– Harsh Shrivastava · 8 months, 3 weeks ago

It was different plus exam pressure also makes a huge difference.Log in to reply

– Kushagra Sahni · 8 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.Log in to reply

– Saurabh Mallik · 8 months, 2 weeks ago

How many questions did you solve Harsh??Log in to reply

– Sayantan Saha · 8 months, 3 weeks ago

Our(West Bengal's) result has not come out.Log in to reply

– Sayantan Saha · 8 months, 3 weeks ago

I am from WB region. Result of our region has not come out.Log in to reply

– Vicky Vignesh · 9 months, 1 week ago

It was just 5 minutes after the exam was over LOLLog in to reply

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

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– Anik Mandal · 4 months, 3 weeks ago

It's easy.Which class for you? And did you write RMO?Log in to reply

Yep, That was easy try this. – Rohit Camfar · 4 months, 3 weeks ago

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– Anik Mandal · 4 months, 3 weeks ago

I am studying for boards now,So probably later..Log in to reply

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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– Harsh Shrivastava · 7 months, 2 weeks ago

I am selected from Chattisgarh region.Log in to reply

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

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– Wasif Jawad Hussain · 8 months, 1 week ago

51Log in to reply

– Wasif Jawad Hussain · 8 months, 1 week ago

Yours ???Log in to reply

– Mayank Jha · 5 months ago

Wasif how much you scored in Inmo?Log in to reply

– Mayank Jha · 7 months, 2 weeks ago

Wasif what is the highest score in jharkhandLog in to reply

– Wasif Jawad Hussain · 8 months, 1 week ago

Yours?Log in to reply

– Mayank Jha · 8 months, 1 week ago

How much is the highest score in your city?Log in to reply

– Mayank Jha · 8 months, 1 week ago

What is the highest score you have heard till nowLog in to reply

– Wasif Jawad Hussain · 8 months, 1 week ago

Some other scores are 48,32...Log in to reply

– Mayank Jha · 8 months, 1 week ago

What is your kvpy expected scoreLog in to reply

– Wasif Jawad Hussain · 8 months, 1 week ago

50-55 as per old answer keyLog in to reply

– Mayank Jha · 8 months, 1 week ago

46.Can you tell how much chances I have to qualifyLog in to reply

– Wasif Jawad Hussain · 8 months, 1 week ago

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

– Mayank Jha · 8 months, 1 week ago

You have not heard above 60 score till nowLog in to reply

– Wasif Jawad Hussain · 8 months, 1 week ago

What are the scores from jamshedpur ?Log in to reply

– Mayank Jha · 8 months, 1 week ago

Sorry I have no idea till now.Can you give me your mail addressLog in to reply

– Wasif Jawad Hussain · 8 months ago

What are the scores from jamshedpur ?????Log in to reply

– Mayank Jha · 8 months ago

When will the result of Rmo be declared?Log in to reply

– Mayank Jha · 8 months ago

Some scores are 15,25 many not received any emails.Log in to reply

– Mayank Jha · 8 months ago

Sorry wasif no information till now.my friends do not check their mail.Log in to reply

@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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– Anik Mandal · 9 months ago

It is atleast one common language.Log in to reply

– Calvin Lin Staff · 9 months ago

Thanks. I've edited the question accordingly.Log in to reply

Anyone with 6 th done – Aakash Khandelwal · 9 months ago

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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 agoLog in to reply

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– Calvin Lin Staff · 9 months ago

The Farey sequence relates to question 3.Log in to reply

– Sharky Kesa · 9 months ago

Yeah, sorry, looked at the wrong question. Question 4 looks like Pigeonhole Principle.Log in to reply

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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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 agoLog in to reply

– Manas Verma · 9 months, 1 week ago

*a-b is also in bracket.sane with a-cLog in to reply

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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– Wasif Jawad Hussain · 9 months, 1 week ago

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

– Mayank Jha · 9 months, 1 week ago

I am from Jamshedpur,in class 11Log in to reply

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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– Kaustubh Miglani · 9 months, 1 week ago

You cannot apply AM GM Its not given that a-b,b-c,c-a are +veLog in to reply

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– Kaustubh Miglani · 9 months, 1 week ago

Yeah you are rightLog in to reply

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

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– Abhishek Alva · 9 months, 1 week ago

can u put brackets pleaseLog in to reply

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

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– Svatejas Shivakumar · 9 months, 1 week ago

Can you post the solution? Also when does equality occur?Log in to reply

– Kaustubh Miglani · 9 months, 1 week ago

Which questions did u do?Log in to reply

– Svatejas Shivakumar · 9 months, 1 week ago

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

– Kaustubh Miglani · 9 months, 1 week ago

I got 3 questions fully correct and 1 question 25% corrrectLog in to reply

– Kaustubh Miglani · 9 months, 1 week ago

Dont u think q-1 is halwa? NCERT Question!!!Log in to reply

Really!! Though it was very easy but don't think it could be an NCERT question.– Saurabh Mallik · 9 months, 1 week agoLog in to reply

– Svatejas Shivakumar · 9 months, 1 week ago

Yes even 5 was very easy.Log in to reply

– Saurabh Mallik · 9 months, 1 week ago

Can you please post the complete solution of Q.5??Log in to reply

– Kushagra Sahni · 9 months, 1 week ago

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

– Kaustubh Miglani · 9 months, 1 week ago

Yeah did it Though I spent 55 mins on this oneLog in to reply

– Kushagra Sahni · 9 months, 1 week ago

Ok it took me also around 30-40 mins. How was RMO?Log in to reply

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

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– Kaustubh Miglani · 9 months, 1 week ago

It is better to evaluate it to be a+b+cLog in to reply

– Cdsc Dsc · 9 months, 1 week ago

It is better if u factorise given expression It is a+b+cLog in to reply

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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