IOQM Discussion

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.

• 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!

Note by Vinayak Srivastava
2 months, 3 weeks ago

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.

When posting on Brilliant:

• Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
• Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
• Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.

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MathAppears as
Remember to wrap math in $$ ... $$ or $ ... $ to ensure proper formatting.
2 \times 3 $2 \times 3$
2^{34} $2^{34}$
a_{i-1} $a_{i-1}$
\frac{2}{3} $\frac{2}{3}$
\sqrt{2} $\sqrt{2}$
\sum_{i=1}^3 $\sum_{i=1}^3$
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\boxed{123} $\boxed{123}$

Sort by:

- 2 months, 3 weeks ago

- 2 months, 3 weeks ago

These question are not of prmo level. They might be of nmtc level.

- 2 months, 3 weeks ago

I am not a liar :( BTW, what is ntmc?

- 2 months, 3 weeks ago

Ok,you are not.

- 2 months, 3 weeks ago

Google says: National Telecommunication Monitoring Centre

- 2 months, 3 weeks ago

National mathematical contest test. It is slightly less harder than prmo.

- 2 months, 3 weeks ago

Oh, I searched ntmc, you wrote nmtc. I will search it. Thanks for telling!

- 2 months, 3 weeks ago

The paper looks hard to me, though.

- 2 months, 3 weeks ago

Do you know co-ordinate geometry and locus???

- 2 months, 3 weeks ago

No, it is $x$th chapter and I have reached $x-3$th 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.

- 2 months, 3 weeks ago

That's why you find it difficult.

- 2 months, 3 weeks ago

National Mathematical Talent Contest, not National mathematical contest test @Kriti Kamal - Even though this is something Indian, and you will know better, I know I'm right because Google says so :)

- 2 months, 3 weeks ago

Yes,you are right.

- 2 months, 3 weeks ago

Here, I learnt a great concept. Do check it out, Holder's Inequality. It is used to solve many PRMO and RMO problems.

- 2 months, 3 weeks ago

Nice! But it involves integrals, I have not studied them. I only know differentiation.

- 2 months, 3 weeks ago

I am unable to understand its proof.:-(

- 2 months, 3 weeks ago

I'm preparing for PRMO too!

- 2 months, 3 weeks ago

Nice! Do share any good problems you find!

- 2 months, 3 weeks ago

Well, my mother is Indian, so I can wish you all good luck!

- 2 months, 3 weeks ago

- 2 months, 3 weeks ago

I couldn't solve it, please post a solution.

- 2 months, 3 weeks ago

I am a bit busy now.but, i will post it before 9pm.@Siddharth Chakravarty,please if you are free then post the answer.

- 2 months, 3 weeks ago

I have posted a solution. :-) @Vinayak Srivastava.

- 2 months, 3 weeks ago

Check this problem, I have deleted the other one

- 2 months, 3 weeks ago

- 2 months, 3 weeks ago

@Vinayak Srivastava,i will post mainly geometry problems.

- 2 months, 3 weeks ago

No problem!

- 2 months, 3 weeks ago

Do you know ceva's theorem?

- 2 months, 3 weeks ago

- 2 months, 3 weeks ago

- 2 months, 3 weeks ago

- 2 months, 3 weeks ago

I answered it, good that I told you the previous question was wrong otherwise a lot of people who have got it wrong.

- 2 months, 3 weeks ago

Is anyone else getting a Brilliant glitch like thing? My notifications have disappeared and I'm only checking gmail for notifications. @Siddharth Chakravarty, @Vinayak Srivastava, @Kriti Kamal

- 2 months, 3 weeks ago

No, but I hate this new UI.

- 2 months, 3 weeks ago

Yes, something similar is happening to my UI as well. It's full screen and I can't see any notifications as well. The solutions are also aligned to left and not in centre. Definitely something weird is happening, maybe an update?

- 2 months, 3 weeks ago

I just clicked on "View full site" in the top menu, it is as it was.

- 2 months, 3 weeks ago

I got no other change, just that it was changed to mobile site, I changed back to full site. Are you all seeing other changes I can't?

- 2 months, 3 weeks ago

You are awesome! It worked! Turns out I was somehow in mobile site mode. LOL Thanks!

- 2 months, 3 weeks ago

Guys do what Vinayak said, and click View Full Site, it worked for me. @Siddharth Chakravarty, @Mahdi Raza

- 2 months, 3 weeks ago

Please elaborate how i can do it. This view is Very frustrating

- 2 months, 3 weeks ago

Ok nevermind, I got it. Thanks!!!

- 2 months, 3 weeks ago

The menu where you open notifications, below them, there are many buttons, click on vie full site.

- 2 months, 3 weeks ago

Answer to life, universe and everything: $\Large{\left \lceil{{\pi}^{\pi} \times \ln(\pi)}\right \rceil}$

- 2 months, 3 weeks ago

Close, but not quite - 41.739323805 :)

- 2 months, 3 weeks ago

I have already put the Ceiling function :)

- 2 months, 3 weeks ago

Oh! Didn't notice that :)

- 2 months, 3 weeks ago

He has included ceiling function, it will be 42

- 2 months, 3 weeks ago

Oh! Didn't notice that :)

- 2 months, 3 weeks ago

The actual answer is $101010 \implies 42$ in binary

- 2 months, 3 weeks ago

$\Large e^{i \pi} + 1 = 0$

This is still better than that in my opinion :)

- 2 months, 3 weeks ago

We can make notes on these famous and beautiful equations LOL

- 2 months, 3 weeks ago

- 2 months, 3 weeks ago

- 2 months, 3 weeks ago

Try this problem Future of 2020?

- 2 months, 3 weeks ago

okay

- 2 months, 3 weeks ago

@Vinayak Srivastava,@Aryan Sanghi. do this question https://brilliant.org/problems/problem-is-for-testing-skills/?ref_id=1599194

- 2 months, 3 weeks ago

The problem is wrong again @SRIJAN Singh

- 2 months, 3 weeks ago

no

- 2 months, 3 weeks ago

@Percy Jackson no, its right

- 2 months, 3 weeks ago

An irregular hexagon, can't have all congruent angles bro! @SRIJAN Singh

- 2 months, 3 weeks ago

noooooooooo if you want the solution look i will post it @Percy Jackson

- 2 months, 3 weeks ago

Are you really sure @Percy Jackson? Because the problem is correct.

- 2 months, 3 weeks ago

Oh, now that I look at the solution, it does seem right. I have been taught that any hexagon with all angles equal is always regular, I guess that was only basic, and other factors come into play here. Sorry for the misconception @SRIJAN Singh, and Thanks @Siddharth Chakravarty for mentioning and telling me that it is correct :)

- 2 months, 3 weeks ago

You should change your school, you are taught the wrong things. Instead, it should have been regular hexagons always have all the interior angles equal. The easiest way to see this is that a regular quadrilateral is a square, while a rectangle is not a regular quadrilateral but still has all the angles equal. Regular polygon means having all angles and sides equal.

- 2 months, 3 weeks ago

Yes, maybe I haven't been paying attention in Geometry coz I hat it LOL, thank for clearing it up @Siddharth Chakravarty :)

- 2 months, 3 weeks ago

- 2 months, 3 weeks ago

Lol 'some text' is an addictive thing started by Márton (some text)

- 2 months, 3 weeks ago

All Indians, check out the NAEST test. Registrations last date is tomorrow 7th August.

- 2 months, 3 weeks ago

@Vinayak Srivastava @Aryan Sanghi @Kriti Kamal @Mahdi Raza क्या सभी ने इसे देखा और रजिस्टर किया?

- 2 months, 2 weeks ago

Yes, but didn't get some confirmation email except for an OTP email

- 2 months, 2 weeks ago

Yes, I also.

- 2 months, 2 weeks ago

The first test is on 9th August, maybe they will send prior to the test.

- 2 months, 2 weeks ago

@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

- 2 months, 2 weeks ago

Try out NSEJS and PRMO. They are meant for 8th and 9th graders. :)

- 2 months, 2 weeks ago

@Aryan Sanghi,Yeah in FIITJEE there are exams conducted, that you are telling..thanks

- 2 months, 2 weeks ago

You can try nmtc too.

- 2 months, 2 weeks ago

- 2 months, 2 weeks ago

Try out this question by me. Infinite Geometric Geometry series!!

- 2 months, 2 weeks ago

This problem is not mine, but I found it good. Click Here!

- 2 months, 2 weeks ago

@Aryan Sanghi,@Vinayak Srivastava,@Mahdi Raza lookProblem 3

- 2 months, 2 weeks ago

@Percy Jackson hey do My first physics probb yeah

- 2 months, 2 weeks ago

@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 $)$

Problem 1

Problem 2

Keep posting good problems, keep learning!

- 2 months, 2 weeks ago

Thanks for your suggestion me in class 7 try my problem I posted it now

- 2 months, 2 weeks ago

I haven't studied circular motion. I'll try it, but I don't know the concepts.

- 2 months, 2 weeks ago

How to paste the link can you explain again

- 2 months, 2 weeks ago

Just open the tab and copy the url, that's it.

- 2 months, 2 weeks ago

No that i know, but how that like you have written like Problem 1

- 2 months, 2 weeks ago

Open the [ bracket, then type inside, and then close it ]

 1 [Problem 1](https://brilliant.org/problems/my-first-physics-probb-yeah/?ref_id=1599518) 

- 2 months, 2 weeks ago

Hey there I learnt look down

- 2 months, 2 weeks ago

@Aryan Sanghi , @Mahdi Raza,@Percy Jackson . Bore na try this

- 2 months, 2 weeks ago

Try more practice makes man perfect try this

- 2 months, 2 weeks ago

@Vinayak Srivastava try this

- 2 months, 2 weeks ago

@Pranshu Garba, try this

- 2 months, 2 weeks ago

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

- 2 months, 2 weeks ago

25

- 2 months, 2 weeks ago

Wrong 🙃

- 2 months, 2 weeks ago

5 = 1, because in the first line 1 = 5, so 5 = 1 @Siddharth Chakravarty :)

- 2 months, 2 weeks ago

ah! so silly

- 2 months, 2 weeks ago

Ikr but I still like this problem, because it leaves everyone dumbfounded LOL

- 2 months, 2 weeks ago

ah! you are online

- 2 months, 2 weeks ago

hey @Percy Jackson do my problem

- 2 months, 2 weeks ago

Got all of them correct :) @SRIJAN Singh

- 2 months, 2 weeks ago

@Percy Jackson.show the solution:)

- 2 months, 2 weeks ago

I didn't post it, because someone already posted solution before me, so no use of repeating the solution @SRIJAN Singh :)

- 2 months, 2 weeks ago

please give me problem for doing @Percy Jackson

- 2 months, 2 weeks ago

Check my profile then :)

- 2 months, 2 weeks ago

@Percy Jackson i have done your first ten problems and got one incorrect

- 2 months, 2 weeks ago

Good ☺️

- 2 months, 2 weeks ago

Mine is better: \begin{aligned} &~~~\LARGE{\cdot \cdot} \\ &\Huge{\smile} \\ \end{aligned}

- 2 months, 2 weeks ago

- 2 months, 2 weeks ago

- 2 months, 2 weeks ago

ah! hey can you post a good problem for me or everyone .i want to do some math practice

- 2 months, 2 weeks ago

- 2 months, 2 weeks ago

@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!

- 2 months, 2 weeks ago

i had tried many problems from community but some are not of my level

- 2 months, 2 weeks ago

Well, we also post problems of that level.

- 2 months, 2 weeks ago

ookkaayy

- 2 months, 2 weeks ago

hey i solved many problems from community section please give me more problems @Vinayak Srivastava,@Aryan Sanghi,@Percy Jackson,@Siddharth Chakravarty

- 2 months, 2 weeks ago

Dude, please stop it. It is irritating because when you mention us, 2 notifications come. @SRIJAN Singh

- 2 months, 2 weeks ago

hey i'm not irritating you .i'm love with maths that's why i want to do further more problems

- 2 months, 2 weeks ago

First thing, whether you irritate me or not is my decision, and I think you are irritating. If you love math, just make problems by searching the internet and stop mentioning me. At least ask if it is ok to mention continuously. Also, Brilliant isn't the only place to do math.

- 2 months, 2 weeks ago

1

- 5 days, 1 hour ago

What one?

- 5 days ago

I think he is answering Siddharth's problem, as it is clearly a reply to that. Use your brain sometimes Sing...

- 4 days, 22 hours ago

... no point telling him he will probably ask what" or something like that

- 4 days, 22 hours ago

true lol...

- 4 days, 22 hours ago

He didn't replied to that to siddharth comment so how i can say?

- 4 days, 19 hours ago

Gods, don't you have a brain, coz he clearly replied that as an answer to siddharth's comment.

- 4 days, 3 hours ago

@Vinayak Srivastava,@Mahdi Raza,@Aryan Sanghi,@Foolish Learner do very interesting

- 2 months, 2 weeks ago

@Vinayak Srivastava,@Mahdi Raza,@Aryan Sanghi,@Foolish Learner do very interesting

- 2 months, 2 weeks ago

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 .

- 2 months, 2 weeks ago

i don't think they are your best friends... maybe friends maybe?

- 4 days, 21 hours ago

I am not asking you ? Idiot

- 4 days, 19 hours ago

1. He never replied to your comment as a an answer to a question, so he can comment that, and there is nothing wrong with it.

2. If anyone's an idiot here, its you

3. 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.

4. 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.

- 4 days, 3 hours ago

i regret telling kat off for calling him that

- 3 days, 22 hours ago

lol yeah

- 3 days, 22 hours ago

should i drop a nuke on him?

- 3 days, 22 hours ago

Sure, I wouldn't mind :)

- 3 days, 21 hours ago

well its not your average nuke but it is just as deadly and annoying can i test it on you to see if it works? it is still a prototype i will send u a small one

- 3 days, 21 hours ago

@Vinayak Srivastava if you are online see this

- 2 months, 2 weeks ago

New problem @Vinayak Srivastava,@Percy Jackson.

- 2 months, 1 week ago

Try this problem by me A Unique function

- 2 months, 1 week ago

Try out my new problem: Are all numbers good?

- 2 months, 1 week ago

@Vinayak Srivastava.do my new problem

- 2 months, 1 week ago

Try this problem Co-Normal Parabolic Centroid

- 2 months ago

- 1 month, 3 weeks ago

Try this problem Triangle of Reflection

- 1 month, 2 weeks ago

done

- 1 month, 2 weeks ago

I am shown no solvers?

- 1 month, 2 weeks ago

but got wrong

- 1 month, 2 weeks ago

Try this problem Areal Parabolic Centroid

- 1 month, 2 weeks ago

I found this easy logic problem.However,you need to know the rules of cricket.

- 1 month, 2 weeks ago

Wow! I calculated wrong! I knew the answer though.

- 1 month, 2 weeks ago

@Vinayak Srivastava,I have seen in your profile that cricket is one of your interests.

- 1 month, 2 weeks ago

Yes, but I added wrong, I knew that rule.

- 1 month, 2 weeks ago

Extension: Answer should be $33n + 3$ runs for $n$ overs

- 1 month, 2 weeks ago

Oh yes, I forgot, but I once saw a debate, where it was asking if 5 runs is possible or not.

- 1 month, 2 weeks ago

I don't think so. It shouldn't be allowed. "All exceptions to be avoided" should be written in the question, but I guess it is assumed in the rules of cricket

If that is allowed through (shouldn't be, but anyway), then the total would be

$35(n-1) + 36 = 35n + 1$

- 1 month, 2 weeks ago

And if 5 is allowed, then even 7 should be. That is possibly why 5 is not counted as well

- 1 month, 2 weeks ago

I do think it is allowed in cricket.However,it is only possible when fielders are like me or ball is lost .:-P

- 1 month, 2 weeks ago

Do you mean 33(n-1)+36 :-)

- 1 month, 2 weeks ago

Yes, exactly. for each of the first $(n-1)$ 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

\begin{aligned} \text{Total } &= 33(n-1) + 36 \\ &= 33n - 33 + 36 \\ &= \boxed{33n + 3} \end{aligned}

Which is what I wrote above

- 1 month, 2 weeks ago

Ok

- 1 month, 2 weeks ago

The problem becomes easy once you know the rules of Cricket, I had to google the rules of cricket for this.

- 1 month, 2 weeks ago

so you cheated, or referred after getting it wrong? @Siddharth Chakravarty

- 1 month, 2 weeks ago

Well I referred it before attempting, and then I read a whole wiki on a sport that doesn't interest me, and then got the question correct. I guess it is not cheating, as it is like knowing about a theorem to solve a problem :)

- 1 month, 2 weeks ago

I was only interested in the 'sport that doesn't interest me' part. LOL Finally someone who doesn't think cricket is a big deal. The way Mahdi and Kriti talk about cricket makes me think that you need a degree in cricket to get into MIT and both of them passed the cricket exam with full marks lol XD

- 1 month, 2 weeks ago

In India, Cricket has a huge fanbase, I mean really huge, so you could expect majority of people to love it :) I'm more into racket games like badminton and swimming.

- 1 month, 2 weeks ago

Swimming, I'ma son of Poseidon. More into that :)

- 1 month, 2 weeks ago

Actually,I am not interested in any sports.But,if you are Indian,then it is like common knowledge.You may not interested in cricket but,when your all friends are talking about cricket whole the day.Then, it's quite reasonable that you will know all about it without even playing it :)

- 1 month, 2 weeks ago

lol XD, if you see my bio it is written get into MIT that means I need a degree in cricket.

- 1 month, 2 weeks ago

- 1 month, 2 weeks ago

Try this problem Highly Elliptical Area!!

- 1 month, 2 weeks ago

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)

- 1 month, 1 week ago

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 :(

- 1 month, 1 week ago

@Mahdi Raza It was the least I could do! I hope that more people find and join this discussion and share some incredible problems.

- 1 month, 1 week ago

Try this problem Ellipse's Circumscribed perimeter!. @Mahdi Raza

- 1 month, 1 week ago

Try this problem Ellipse's Circumscribed perimeter!

- 1 month, 1 week ago

Check out this easy limit problem: Limiting till the degree 5, @Aryan Sanghi I was talking about this.

- 1 month, 1 week ago

It's easy I solved first! Check this! out

- 1 month, 1 week ago

Please post a solution if you want, and I am still learning coding so I cannot help much maybe :)

- 1 month, 1 week ago

Which type of language are you learning? ,I'll post the solution whenever I'll get time

- 1 month, 1 week ago

Python

- 1 month, 1 week ago

Nice,Me also Python btw what are you learning in that

- 1 month, 1 week ago

Solved it. :) @Siddharth Chakravarty

- 1 month, 1 week ago

- 1 month ago

- 1 month ago

Done!

- 1 month ago

- 1 month ago

@Vinayak Srivastava,@Percy Jackson,@Mahdi Raza,@Kriti Kamal,@Siddharth Chakravarty,@Aryan Sanghi,I wish you will like this problem

- 1 month ago

Solved it, thanks for sharing @SRIJAN Singh

- 1 month ago

- 1 month ago

- 1 month ago

Nice one But I have not studied calculus yet

- 1 month ago

@Percy Jackson .I am first to solve your problem...wait I'm posting the solution

- 1 month ago

ok, I am also posting solution

- 1 month ago

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

- 1 month ago

Pall Marton's Latex Guide

- 1 month ago

Okay

- 1 month ago

PLS comment on my chatbot one

- 1 month ago

- 1 month ago

- 1 month ago

- 1 month ago

Try this problem Ellipse's circular tangents!!

- 1 month ago

- 2 weeks, 5 days ago

Try this problem A Real Equation!!

- 2 weeks, 5 days ago

Try this problem Functional Complex Trignometry!!

- 1 week, 1 day ago

Try this problem Cardinality of Inequations!!

- 1 week ago

Hey guys, I am considering Unsubscribing, because a/an member/s (cough Srijian cough ) post unnecessary comments, which clutter my notifications. I will look here time to time for great problems posted by you guys, and will also share good problems that I think are interesting. This is a great note with lots of awesome problems, so thanks Vinayak for creating this in the first place. Hasta la Vista!

(Edit : I just realized that this is also a kinda unnecessary comment lol)

(No offense Srijian, but what I said about is you is kinda true. I get so many notifications from you, I sometimes wish there was a feature were we could unsubscribe from a member, so that any of his/her replies, mentions and comments won't appear in my notifications, and I'm serious 'bout that, I actually considered asking Brilliant Mathematics...Just saying...don't consider this as hate peeps!)

- 4 days, 22 hours ago

i could suggest that to brilliant through bugtest note for you

- 4 days, 21 hours ago