Let \(P(x),Q(x)\) be monic polynomials with integer coeeficients. Let \(a_n=n!+n\) for all natural numbers \(n\). Show that if \(\frac{P(a_n)}{Q(a_n)}\) is an integer for all positive integer \(n\) then \(\frac{P(n)}{Q(n)}\) is an integer for every integer \(n\neq0\).

RMO 2016 WEST BENGAL AND TRIPURA REGION SOLUTION

RMO 2016

Educator

https://cms.math.ca/MediaReleases/2016/ap-award?utm_source=feedburner&utm_medium=feed&utm_campaign=Feed%3A+MathNewsCMS+%28Math+News+from+the+CMS%29&utm_content=Google+International

The Spirit of Ramanujan

19th Junior Mathematical Olympiad (conducted KVS, New Delhi)

RMO INMO 2016-2017

GLOBAL MATH CHALLENGE

https://www.global-math.com/

Posted by mathematicalcircles on Thursday, February 25, 2016

27 Lines on a Cubic Surface

27 Lines on a Cubic Surface

http://blogs.ams.org/visualinsight/2016/02/15/27-lines-on-a-cubic-surface/

Posted by Mathematicalcircles for Advance Learning on Sunday, February 21, 2016

The Largest Known PRIMES

https://primes.utm.edu/largest.html

Posted by mathematicalcircles on Saturday, February 20, 2016

MATH PRIZE OLYMPIAD 2014 SOLUTIONS

https://drive.google.com/open?id=0B-uS-8_PlTEyOTBnZ1BlM01QZTQ

MATH PRIZE OLYMPIAD 2015

https://drive.google.com/open?id=0B-uS-8_PlTEyTjVDeEVwc2NtNm8

INMO 2016 OFFICIAL SOLUTIONS

INMO 2016

INMO 2016 PRATICE PROBLEM V

INMO 2016 PRATICE PROBLEM IV

INMO 2016 PRATICE PROBLEM III

INMO 2016 PRATICE PROBLEM II