This discussion is mainly for the Pre-Regional Mathematics Olympiad held in India. However, anyone who wants to practice good Math questions, you are welcome! Also, I'll be mentioning some great teachers, who are known for their excellent problems!
Edit : IOQM instead of PRMO
The rules are:
Post problems related to PRMO.
Don't post repeated problems(I mean if someone has posted it already, don't post again).
You may check out the level of problems from Zakir Husain Sir's A Pre-RMO question (whole series!).
Some sample questions can also be found here.
Past year problems are also welcome.
Don't post comments not related to any problem.
Don't write the answers in the comments.
If you are not posting a problem yourself, and find a good problem in the Community(old or new), please post it here.
If you learnt any new concept, do share it with us!
Let's together do Math!
Easy Math Editor
This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.
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to ensure proper formatting.2 \times 3
2^{34}
a_{i-1}
\frac{2}{3}
\sqrt{2}
\sum_{i=1}^3
\sin \theta
\boxed{123}
Comments
@Zakir Husain , @Mahdi Raza , @Aryan Sanghi, @Siddharth Chakravarty , @David Vreken , @Pi Han Goh , @Kumudesh Ghosh, @Kriti Kamal
Here, I learnt a great concept. Do check it out, Holder's Inequality. It is used to solve many PRMO and RMO problems.
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Nice! But it involves integrals, I have not studied them. I only know differentiation.
I am unable to understand its proof.:-(
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These question are not of prmo level. They might be of nmtc level.
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I am not a liar :( BTW, what is ntmc?
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Google says: National Telecommunication Monitoring Centre
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xth chapter and I have reached x−3th chapter in my book. Also, I haven't studied Math from many days, I was doing my school work, which is still less than half done.
No, it isLog in to reply
@Kriti Kamal - Even though this is something Indian, and you will know better, I know I'm right because Google says so :)
National Mathematical Talent Contest, not National mathematical contest testLog in to reply
Result of IOQM
I'm preparing for PRMO too!
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Nice! Do share any good problems you find!
Well, my mother is Indian, so I can wish you all good luck!
A pre rmo problem
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I couldn't solve it, please post a solution.
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I am a bit busy now.but, i will post it before 9pm.@Siddharth Chakravarty,please if you are free then post the answer.
I have posted a solution. :-) @Vinayak Srivastava.
Check this problem, I have deleted the other one
link
Check this problem out!
@Vinayak Srivastava,i will post mainly geometry problems.
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No problem!
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Do you know ceva's theorem?
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new problem
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@Vinayak Srivastava,@Siddharth Chakravarty,@Percy Jackson,@Atij Jain.
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I answered it, good that I told you the previous question was wrong otherwise a lot of people who have got it wrong.
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@Siddharth Chakravarty, @Vinayak Srivastava, @Kriti Kamal
Is anyone else getting a Brilliant glitch like thing? My notifications have disappeared and I'm only checking gmail for notifications.Log in to reply
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@Siddharth Chakravarty, @Mahdi Raza
Guys do what Vinayak said, and click View Full Site, it worked for me.Log in to reply
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Answer to life, universe and everything: ⌈ππ×ln(π)⌉
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Close, but not quite - 41.739323805 :)
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I have already put the Ceiling function :)
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He has included ceiling function, it will be 42
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The actual answer is 101010⟹42 in binary
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You mean 42 in decimal, because binary is only using 1's and 0's
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eiπ+1=0
This is still better than that in my opinion :)
We can make notes on these famous and beautiful equations LOL
in which grade are you
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9th grade.
is it 42?
Try this problem Future of 2020?
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okay
@Vinayak Srivastava,@Aryan Sanghi. do this question https://brilliant.org/problems/problem-is-for-testing-skills/?ref_id=1599194
All Indians, check out the NAEST test. Registrations last date is tomorrow 7th August.
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@Vinayak Srivastava @Aryan Sanghi @Kriti Kamal @Mahdi Raza क्या सभी ने इसे देखा और रजिस्टर किया?
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Yes, but didn't get some confirmation email except for an OTP email
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@Aryan Sanghi,@Mahdi Raza,@Vinayak Srivastava,@Siddharth Chakravarty hey everyone do you know about some international olympiad a 8th grader especially for math or science
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Try out NSEJS and PRMO. They are meant for 8th and 9th graders. :)
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@Aryan Sanghi,Yeah in FIITJEE there are exams conducted, that you are telling..thanks
You can try nmtc too.
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@Kriti Kamal.thanks for your suggestion
Try out this question by me. Infinite Geometric Geometry series!!
This problem is not mine, but I found it good. Click Here!
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Is it 16?
@Aryan Sanghi,@Vinayak Srivastava,@Mahdi Raza lookProblem 3
@Percy Jackson hey do My first physics probb yeah
@Vinayak Srivastava,@Mahdi Raza,@Aryan Sanghi,@Siddharth Chakravarty. Hey watch this prob
@SRIJAN Singh, it is good that you are posting nice problems of Physics, but please give the links, as it is difficult for some people who are unfamiliar with the interface to get to it.
The procedure of giving link is quite simple:
Just use [ and ] brackets and in between write the link text, then open the ( bracket, paste the link, and then )
I am giving the links for your first 2 problems, please remember this for later problems.
Problem 1
Problem 2
Keep posting good problems, keep learning!
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Thanks for your suggestion me in class 7 try my problem I posted it now
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I haven't studied circular motion. I'll try it, but I don't know the concepts.
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@Aryan Sanghi , @Mahdi Raza,@Percy Jackson . Bore na try this
Try more practice makes man perfect try this
@Vinayak Srivastava try this
@Pranshu Garba, try this
I was going through my old notes, and found this very easy problem which 100% will get right, LOL :D
If, 1=5
2=10
3=15
4=20
5=?
Now don't comment like 2 is not equal to 10, this is a logic problem but the meaning of the 'equal to' = symbol remains the same. :D
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25
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Wrong 🙃
5 = 1, because in the first line 1 = 5, so 5 = 1 @Siddharth Chakravarty :)
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ah! so silly
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@Percy Jackson do my problem
heyLog in to reply
@SRIJAN Singh
Got all of them correct :)Log in to reply
@Percy Jackson.show the solution:)
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@SRIJAN Singh :)
I didn't post it, because someone already posted solution before me, so no use of repeating the solutionLog in to reply
@Percy Jackson
please give me problem for doingLog in to reply
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@Percy Jackson i have done your first ten problems and got one incorrect
Good ☺️
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⋅⋅⌣
Mine is better:Log in to reply
@Vinayak Srivastava what was your answer
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@Vinayak Srivastava. pls give reply
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@SRIJAN Singh - Click Community and search for problems there, there are many interesting problems. Not everyone is online always so please be patient or search in the community. Thanks!
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@Vinayak Srivastava,@Aryan Sanghi,@Percy Jackson,@Siddharth Chakravarty
hey i solved many problems from community section please give me more problemsLog in to reply
@SRIJAN Singh
Dude, please stop it. It is irritating because when you mention us, 2 notifications come.Log in to reply
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This will keep you occupied :)
1
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What one?
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@Vinayak Srivastava,@Mahdi Raza,@Aryan Sanghi,@Foolish Learner do very interesting
@Vinayak Srivastava,@Mahdi Raza,@Aryan Sanghi,@Foolish Learner do very interesting
first of all @Vinayak Srivastava,@Aryan Sanghi,@Siddharth Chakravarty,@Mahdi Raza,@Percy Jackson are my best friend because they give me support THANK YOU all for supporting me .
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i don't think they are your best friends... maybe friends maybe?
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I am not asking you ? Idiot
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If anyone's an idiot here, its you
What he has said, is also true. At least, I am not your best friend, I don't know about the others, but best friend is kinda too far, because we hardly know each other. You might be a friend to the others, to me you're just an annoying brat.
Don't reply to this. Get this in your head that unless you post one useful comment, you are doing the same thing Lam did in Nathan's Latex note. Your reply's are irritating enough already, Kat was right to call you a prick.
@SRIJAN Singh
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@Mahdi Raza,@Percy Jackson,@Vinayak Srivastava,@Aryan Sanghi,@Siddharth Chakravarty.I posted a new discussion right here
@Vinayak Srivastava if you are online see this
New problem @Vinayak Srivastava,@Percy Jackson.
Try this problem by me A Unique function
Try out my new problem: Are all numbers good?
@Vinayak Srivastava.do my new problem
Try this problem Co-Normal Parabolic Centroid
New problem, easy level though
Try this problem Triangle of Reflection
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done
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I am shown no solvers?
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Try this problem Areal Parabolic Centroid
I found this easy logic problem.However,you need to know the rules of cricket.
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Wow! I calculated wrong! I knew the answer though.
@Vinayak Srivastava,I have seen in your profile that cricket is one of your interests.
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Yes, but I added wrong, I knew that rule.
Extension: Answer should be 33n+3 runs for n overs
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Oh yes, I forgot, but I once saw a debate, where it was asking if 5 runs is possible or not.
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If that is allowed through (shouldn't be, but anyway), then the total would be
35(n−1)+36=35n+1
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Do you mean 33(n-1)+36 :-)
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(n−1) overs, the batsman will take 33 runs. But in the last over he need not change the strike so he can hit all sixes which is 36 runs
Yes, exactly. for each of the firstTotal =33(n−1)+36=33n−33+36=33n+3
Which is what I wrote above
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The problem becomes easy once you know the rules of Cricket, I had to google the rules of cricket for this.
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so you cheated, or referred after getting it wrong? @Siddharth Chakravarty
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@Mahdi Raza,@Kriti Kamal,@Siddharth Chakravarty,@Percy Jackson,@Aryan Sanghi.do mynew problem
Try this problem Highly Elliptical Area!!
Hi, I think I am new to the group, I found this geometry Problem which uses the properties of circles, rectangles and even triangles(based on your method)
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Thanks! Beautiful geometry problems or even problems that have an elegant solution are always a pleasure to solve. Very few problems are being shared in this discussion/page. I expected a lot, but nevermind :(
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@Mahdi Raza It was the least I could do! I hope that more people find and join this discussion and share some incredible problems.
Try this problem Ellipse's Circumscribed perimeter!. @Mahdi Raza
Try this problem Ellipse's Circumscribed perimeter!
Check out this easy limit problem: Limiting till the degree 5, @Aryan Sanghi I was talking about this.
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It's easy I solved first! Check this! out
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Please post a solution if you want, and I am still learning coding so I cannot help much maybe :)
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Solved it. :) @Siddharth Chakravarty
Simple problem
simplest problem
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Done!
Seriously serrated series
@Vinayak Srivastava,@Percy Jackson,@Mahdi Raza,@Kriti Kamal,@Siddharth Chakravarty,@Aryan Sanghi,I wish you will like this problem
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Solved it, thanks for sharing @SRIJAN Singh
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Nice,Your welcome
Its not my problem, but its pretty good
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Nice one But I have not studied calculus yet
@Percy Jackson .I am first to solve your problem...wait I'm posting the solution
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ok, I am also posting solution
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Yes post it Btw how did you use limit function,I don't know how to use latex.Is there any wiki that can teach me how to use latex
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N's the Limit
Don't use calculator
@Vinayak Srivastava,It is similar to your question
Try this problem Ellipse's circular tangents!!
I think its a prmo problem(that's what the title says), but its too easy, anyways, here's the link lol
Try this problem A Real Equation!!
Try this problem Functional Complex Trignometry!!
Try this problem Cardinality of Inequations!!
Try this problem Highly Upvoted!!
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It is deleted (-_-)
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Yes, that's why in next comment I said-try this one instead. :)
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Try this problem by me instead High Summation!!
All the best to everyone giving IOQM and/or IOQJS tomorrow!
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Thanks
Can someone please tell me the working in this problem:
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Nice! Thanks! What was the motivation to write it as a+b+c+c?
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c2 so the only ways to make it in the AM was to either use 2c or use c twice but since we don’t know what a+b+2c I had to use the other one
If u see the harmonic seq u see aLog in to reply
here. I forget things quite fast! Anyway, thanks for your insight! But I don't think I have practised more than 1 or 2 this kind of problem.
Yeah, I just recalled that I have used this myself oncea1,b1,c1,c1), this can be useful for easier direct questions ( like this one ) but not for the ones which involve sums or products of inequalities
There is one last way to find out which I don’t use at all, when minimised all the terms in the expression separately will be equal ( hereLog in to reply
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b+ca+c+ab+a+bc is greater than 23 using AM-HM ( there are other ways too, I never found it when I had first tried using AM-HM, I had to resort to rearrangement :) )
U could try proving the nesbitt inequalityVery silly of me, but I have missed a four in the first step so the answer is actually 41
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It should be 4 not 1/4. Also in your solution you wrote it as 1/2c rather 2/c.
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I think this is a nice problem in community: Generate this!
Can someone please explain this?
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The answer is wrong because if all the coefficients leaving the first one are 0, and the first coefficient is any 3 digit perfect square then the answer is yes. First coefficient is the one with x0.
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Yes, I also thought the same. Maybe we should report it.
can u provide a proof that polynomial will have to be constant polynomial? I mean if yes,then we are done here. P(x)= a three digit number
And for any value of x,p(x) won't be zero.
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I'm not sure about this problem.If you find any ambiguity,then please report it or can comment here.
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Could u send a screenshot of the problem here,the link you have sent just won’t load
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Thank you! but I got it. The problem got deleted
Do you think score of 30 qualify for INMO this year?
here in the RadMaths note there are tons of problems at PRMO and RMO levels. Try to solve them all! Some of the discussions are helpful too :)
Try this problem by me Two Points And A Circle Of Life
List of Students eligible for IOQM Certificate of Merit
Anyone calculated their marks? I am getting 23, did a lot of silly mistakes :(
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You will get a certificate for sure.
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Yes, I think, and that is the only thing I can be happy of, I messed up IOQJS Part 1 very badly(Never prepared for Part 2).
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Thank you! All the best to you also!Log in to reply
I haven’t written it myself this time, but if it wasn’t too easy this should easily take you to RMO
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There is no RMO this time.
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Yeah, I saw it just now. I got 24 btw, calculation mistake while calculating marks also. LOL :) Did you qualify?
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