RMO ( Regional Mathematical Olympiad) is the next level of examination after IOQM to inch towards IMO. This involves topics such as Algebra, Geometry, Number Theory, and Combinatorics. Here under this section we will covere all these topics and provide the notes a, videos and practice questions.
The following table gives you the detailed syllabus of RMO.
Type content
Here we will be presenting the articles, practice questions , notes on subject matter topics concepts. We also provide the videos on solutions to various typical problems explaining different concepts .
The videos will be from the you tube channel maths&science by iitian accessible at link :
Here the list of written and video material is also available at the end of this page . The various topic material and problem solutions along with concepts are available at the bottom of this page.
For example the problem to get the last 4 digits of very large exponential number is solved in the video listed at bottom of this page.
Concept involved in sample problem of RMO Syllabus
The concept involved in finding the last four digits of the given number is found out out by solving it for (mod 10000).
Let N be the given large exponential number such as For example the problem to get the last 4 digits of very large exponential number is solved by finding the number N(mod 10000).
Here 10000= 16×625.
Hence (mod 10000) will provide the answer for last 4 digits for the given number. It is a typical problem on the topics of RMO examination.
Topics covered in solving problem
The major topics and concepts involved in th solution of this problem are ,
Modular Arithmetic
Chinese Remainder Theorem
Congruence Modulo principles
Diophantine equations concepts
Exponential Diophantine equations
On the basis of the above principles the problem is solved and the answer is found to be 8293.
This type of problems will be presented here and the problems are solved by clearing all concepts involved.
