Invariants

https://www.dropbox.com/sh/b11qtud64dkp86k/AAC7NQHaBjyJIEtBmWeiswmCa?dl=0

World Mathematical Crusade- DPS RKP
Overall Second

Quiz- 1st
Surprise event- 2nd

How was RMO, guys??

Best of luck for RMO guys!!
If you need any help please feel free to mention.

HAPPY PI DAY
Sorry about the lack of posts recently, but the exams are compulsory for some reason. Still we could not ignore maths enthusiasts on one of the most famous maths days of the year. And yes we know not everyone is in favour of pi and believes tau as fundamental, but we respect both, so we will celebrate tau day as well.
For those who do not know about tau, we suggest reading about it before forming opinions. Who knows, you may have been celebrating pi day only because you thought there was no choice :P
http://tauday.com/tau-manifesto

And whichever you prefer, the tau vs pi debates do make a good read.

For now,
May The Pi Be With You
Its Something You Can Have And Eat It Too

Find x

How was INMO

INMO
The Indian National Mathematics Olympiad is one of the greatest mathematical experiences. Four hours of deep thought and awesomeness.
When I gave the olympiad I didn't care of the outcome, in fact I was pretty sure I wouldn't be able to solve more than a single question, yet I was. Tomorrow will be a great day for anyone who has the opportunity to give that exam, and loves maths, to have enjoy. It is a blissful experience.
Don't worry about the result and do your best. And you'll know what I mean.
~H

Best of Luck for INMO

If p and q are any two positive integers, show that (pq)! is divisible by (q!)^p . p!

Easy one, just to keep things going-
Prove that if p and p^2 + 8 are prime, then p^3 + 8p + 2 is also prime.

100 is the smallest square which is also the sum of 4 consecutive cubes.
reached 100 likes!!!!!!