PRMO 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!

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!

Note by Vinayak Srivastava
6 days, 10 hours ago

No vote yet
1 vote

  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.

When posting on Brilliant:

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  • Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

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\boxed{123} 123 \boxed{123}

Comments

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Percy Jackson - 4 days, 15 hours ago

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

Kriti Kamal - 4 days, 13 hours ago

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

Vinayak Srivastava - 4 days, 13 hours ago

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@Vinayak Srivastava Ok,you are not.

Kriti Kamal - 4 days, 13 hours ago

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Google says: National Telecommunication Monitoring Centre

Vinayak Srivastava - 4 days, 13 hours ago

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

Kriti Kamal - 4 days, 13 hours ago

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

Vinayak Srivastava - 4 days, 13 hours ago

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@Kriti Kamal The paper looks hard to me, though.

Vinayak Srivastava - 4 days, 13 hours ago

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@Vinayak Srivastava Do you know co-ordinate geometry and locus???

Kriti Kamal - 4 days, 12 hours ago

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@Kriti Kamal No, it is xxth chapter and I have reached x3x-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.

Vinayak Srivastava - 4 days, 12 hours ago

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@Vinayak Srivastava That's why you find it difficult.

Kriti Kamal - 4 days, 12 hours ago

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@Kriti Kamal 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 :)

Percy Jackson - 2 days, 21 hours ago

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@Percy Jackson Yes,you are right.

Kriti Kamal - 2 days, 19 hours ago

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

Aryan Sanghi - 6 days, 10 hours ago

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

Vinayak Srivastava - 6 days, 9 hours ago

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I am unable to understand its proof.:-(

Kriti Kamal - 2 days, 17 hours ago

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I'm preparing for PRMO too!

Atij Jain - 5 days, 22 hours ago

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Nice! Do share any good problems you find!

Vinayak Srivastava - 5 days, 16 hours ago

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

Yajat Shamji - 5 days, 16 hours ago

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A pre rmo problem

Kriti Kamal - 5 days, 8 hours ago

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

Vinayak Srivastava - 4 days, 21 hours ago

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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.

Kriti Kamal - 4 days, 19 hours ago

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

Kriti Kamal - 3 days, 11 hours ago

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Everybody please check this Discussion and mention others as I cannot mention anybody in the discussion, IDK why?

Siddharth Chakravarty - 5 days, 8 hours ago

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Check this problem, I have deleted the other one

link

Vinayak Srivastava - 5 days, 8 hours ago

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@Vinayak Srivastava,i will post mainly geometry problems.

Kriti Kamal - 2 days, 18 hours ago

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No problem!

Vinayak Srivastava - 2 days, 18 hours ago

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Do you know ceva's theorem?

Kriti Kamal - 2 days, 17 hours ago

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@Kriti Kamal No, I'll Google it now.

Vinayak Srivastava - 2 days, 17 hours ago

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new problem

Kriti Kamal - 1 day, 23 hours ago

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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.

Siddharth Chakravarty - 1 day, 22 hours ago

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@Siddharth Chakravarty 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

Percy Jackson - 1 day, 22 hours ago

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@Percy Jackson No, but I hate this new UI.

Siddharth Chakravarty - 1 day, 21 hours ago

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@Percy Jackson 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?

Mahdi Raza - 1 day, 21 hours ago

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

Vinayak Srivastava - 1 day, 21 hours ago

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@Percy Jackson 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?

Vinayak Srivastava - 1 day, 21 hours ago

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

Percy Jackson - 1 day, 21 hours ago

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

Percy Jackson - 1 day, 21 hours ago

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

Mahdi Raza - 1 day, 21 hours ago

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@Mahdi Raza Ok nevermind, I got it. Thanks!!!

Mahdi Raza - 1 day, 21 hours ago

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

Vinayak Srivastava - 1 day, 21 hours ago

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

Vinayak Srivastava - 1 day, 20 hours ago

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Close, but not quite - 41.739323805 :)

Percy Jackson - 1 day, 20 hours ago

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I have already put the Ceiling function :)

Vinayak Srivastava - 1 day, 20 hours ago

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@Vinayak Srivastava Oh! Didn't notice that :)

Percy Jackson - 1 day, 20 hours ago

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He has included ceiling function, it will be 42

Mahdi Raza - 1 day, 20 hours ago

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@Mahdi Raza Oh! Didn't notice that :)

Percy Jackson - 1 day, 20 hours ago

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The actual answer is 101010    42101010 \implies 42 in binary

Percy Jackson - 1 day, 20 hours ago

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eiπ+1=0\Large e^{i \pi} + 1 = 0

This is still better than that in my opinion :)

Percy Jackson - 1 day, 20 hours ago

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We can make notes on these famous and beautiful equations LOL

Percy Jackson - 1 day, 20 hours ago

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in which grade are you

SRIJAN Singh - 1 day, 18 hours ago

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9th grade.

Vinayak Srivastava - 1 day, 17 hours ago

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Try this problem Future of 2020?

Aryan Sanghi - 1 day, 12 hours ago

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okay

SRIJAN Singh - 1 day, 12 hours ago

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

SRIJAN Singh - 1 day, 11 hours ago

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The problem is wrong again @SRIJAN Singh

Percy Jackson - 1 day, 11 hours ago

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no

SRIJAN Singh - 1 day, 11 hours ago

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@Srijan Singh @Percy Jackson no, its right

SRIJAN Singh - 1 day, 11 hours ago

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

Percy Jackson - 1 day, 11 hours ago

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

SRIJAN Singh - 1 day, 11 hours ago

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

Siddharth Chakravarty - 1 day, 10 hours ago

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@Siddharth Chakravarty 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 :)

Percy Jackson - 1 day, 9 hours ago

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@Percy Jackson 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.

Siddharth Chakravarty - 1 day, 9 hours ago

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

Percy Jackson - 1 day, 9 hours ago

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@Percy Jackson Your welcome (Some text)

Siddharth Chakravarty - 1 day, 9 hours ago

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

Percy Jackson - 1 day, 9 hours ago

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

Siddharth Chakravarty - 1 day, 10 hours ago

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

Siddharth Chakravarty - 13 hours ago

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

Mahdi Raza - 13 hours ago

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@Mahdi Raza Yes, I also.

Vinayak Srivastava - 13 hours ago

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

Siddharth Chakravarty - 13 hours ago

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