I.S.I. & C.M.I. Entrance 2019 – Mock Tests and Review Classes
From advanced Number Theory to beautiful geometry and combinatorics. Prepare for some seriously interesting mathematics!
Our Classes for I.S.I. & C.M.I. Entrance 2019
Beautiful Mathematics for brilliant minds.
I.S.I. and C.M.I. Entrance program review classes
Take five full-length I.S.I. Entrance Model Test (B.Stat – B.Math)
- Attend the model tests online or at Calcutta Offline Center (near Tollygunge)
- Attend review sessions on Number Theory, Geometry, Algebra and Combinatorics.
- Mock Interview access (if the student qualifies the actual I.S.I. Entrance written test in May)
Access Fee: ₹ 5750
Alternatively you may join Online Classroom Program for I.S.I. Entrance 2020, and 2021.
Understand the problemGiven a circle $latex \Gamma$, let $latex P$ be a point in its interior, and let $latex l$ be a line passing through $latex P$. Construct with proof using a ruler and compass, all circles which pass through $latex P$, are tangent to $latex...
Mathematics is all about visualisation and how to imply them in you day to day life. Maths is something that we all will need at every step of your life
This problem in number theory is an elegant applications of the ideas of quadratic and cubic residues of a number. Try with our sequential hints.
This problem is an advanced number theory problem using the ideas of lifting the exponents. Try with our sequential hints.
This algebra problem is an elegant application of culminating the ideas of polynomials to give a simple proof of an inequality. Try with our sequential hints.
This problem is a beautiful and simple application of the ideas of inequality and bounds in number theory. Try with our sequential hints.
This problem in number theory is an elegant applciations of the modulo technique used in the diophantine equations. Try with our sequential hints
Well comparision between mathematicians was and is and will never be possible. I personally think that Gauss is the best mathematician of the initial era.
This problem in number theory is an elegant application of the ideas of the proof of infinitude of primes from Korea. Try with our sequential hints.
This problem is a basic application of triangle inequality along with getting to manipulate the modulus function efficently. Try with our sequential hints.
This problem is a beautiful application of prime factorization theorem, and reveal how important it is. Try with our sequential hints.
The number 0, looks very ordinary but has a huge role in every field of mathematics. Here is the reason why it has a huge role in mathematics.
We all know about the famous number 0. Our Indian mathematician Aryabhatta has a mind cracking contribution in the inversion of 0.
This problem is a beautiful application of algebraic manipulations, ideas of symmetry, and vieta’s formula in polynomials. Try with our sequential hints.
This problem is cute and intermediate application of the basic geometry principles. Try out this problem with our sequential hints.
What are some facts about Leonardo Fibonacci and the Fibonacci sequence that everyone wants to know?
So we all know about the famous Fibanacci Sequence but , I found some really interesting facts about this sequence about it’s application.
This is a bashing problem of combinatorics that will require the idea of patiently solving out the cases with intricate details and patience. Try with our sequential hints.
This problem is a very basic, tricky and intuitive application resulting in the solutions of a diophantine equation and unique representation of a number. Try with our sequential hints.
This problem is an intermediate application of the polynomials and invoking a cute number theoritic argument to make it a good problem to try with our sequential hints.
So we all know about Hardy-Ramanujan Number 1729. I found some extensions of these type of number we are really mind cracking and amazing.
This problem is an intermediate application of basic number theoritical principles. from Italy MO Solve this problem with the help of Sequential Hints.
This problem is a very simple application of the principle of parity and divisibilty in elementary number theory. Try out with our sequential hints.
Shuakuntala Devi the first Indian woman mathematician who was also known as human calculator has given us mind cracking quick multiplication.
I found this question in Quora , so I started research on Srinivasa Ramanujan. Came across his mind cracking results and his other works.
We all know about this sequence , but is this really possible to find the 30th term with just adding the previous trems in order to get such large terms?
I have posted the answer on quora of this question. The number 5040 has many special number theoretic aspects and I have listed all of this one by one.
Inequality module for I.S.I. Entrance and Math Olympiad Program begins on 13th October, 2019. Taught by Srijit Mukherjee (I.S.I. Kolkata)
Every week we dedicate an hour to Beautiful Mathematics - the Mathematics that shows us how Beautiful is our Intellect. This week, I decided to do three beautiful proofs in this one-hour session... Proof of Fermat's Little Theorem ( via Combinatorics )It uses...
This beautiful application of Functional Equation is related to the concepts of Polynomials. Sequential hints are given to work out the problem and to revisit the concepts accordingly.
This beautiful application from Croatia MO 2005, Problem 11.1 is based on the concepts of Number Theory. Sequential hints are given to work the problem accordingly.
This article aims to give you a brief overview of Inequality, which can be served as an introduction to this beautiful sub-topic of Algebra. This article doesn't aim to give a list of formulas and methodologies stuffed in single baggage, rather it is specifically...
This is an interesting and cute sum based on the concept of Arithematic and Geometric series .The problem is to find a solution of a probability sum.
This is a cute and interesting problem based on System of the linear equation in linear algebra. Here we are finding the determinant value .
Arithmetic Mean and Geometric Mean inequality form a foundational principle. This problem from I.S.I. Entrance is an application of that.
Suppose you are given a Number Theory Olympiad Problem. You have no idea how to proceed. Totally stuck! What to do? This post will help you to atleast start with something. You have something to proceed. But as we share in our classes, how to proceed towards any...
The inverse of a number (modulo some specific integer) is inherently related to GCD (Greatest Common Divisor). Euclidean Algorithm and Bezout’s Theorem forms the bridge between these ideas. We explore these beautiful ideas.
Invariance is a fundamental phenomenon in mathematics. In this combinatorics problem from ISI Entrance, we discuss how to use invariance.
Understand the problemLet be positive real numbers such that .Find with proof that is the minimal value for which the following inequality holds:Albania IMO TST 2013 Inequalities Medium Inequalities by BJ Venkatachala Start with hintsDo you really need a hint? Try...
Understand the problemFind all functions such thatholds for all . Benelux MO 2013 Functional Equations Easy Functional Equations by BJ Venkatachala Start with hintsDo you really need a hint? Try it first!Note that the RHS does not contain $latex y$. Thus it should be...
A beautiful inequality problem from Mathematical Circles Russian Experience . we provide sequential hints . key idea is to use arithmetic mean , geometric mean inequality.