# 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.

## ISI MStat 2015 PSB Problem B5

This is a detailed solution of ISI MStat 2015 PSB Problem B5, with the prerequisites mentioned explicitly. Stay tuned for more.

## ISI M.Stat 2019 PSB Problem B6

This problem gives a detailed solution to ISI M.Stat 2019 PSB Problem 6, with a tinge of simulation and code. Stay tuned for more.

## Maximum Likelihood Estimation | ISI MStat 2017 PSB Problem 8

This problem based on Maximum Likelihood Estimation, gives a detailed solution to ISI M.Stat 2017 PSB Problem 8, with a tinge of simulation and code.

## The Mathematics of How Virus can Grow

The Mathematics of How Corona Virus Grow? The beautiful tale of undeterministic mathematics of chance and chaos of when they will become extinct or when they will thrive.

## The Exaggerated Triangle Inequality

Triangle Inequality is an exaggerated version of the Basic Idea of the Euclidean Plane. Let’s do some Triangle inequality Problems and Solutions.

## Geometric Median |Understand the concept

Geometric Median is an important concept in the intersection of Geometry, Data Analysis and Algorithms. This article explores the concept.

## Examples & Counterexamples – A Way to Build Your Own Mathematics

This is an interesting article on how to build your own Mathematics with the help of examples and counter examples. Stay tuned.

## Sets and Venn diagrams |B.Math Entrance

Try this beautiful problem from B.Math Entrance Exam based on sets and venn diagrams. You may use sequential hints to solve the problem.

## INMO 2007

Try to solve these interesting INMO 2007 Questions. Solve them and write the answers in the comment to check your answers.

## Order of General and Special Linear Group

Here is the post in which you would learn about the Order of General and Special Linear Group with the help of a problem. Try it and learn the solution.

## Maximizing Arrangements

Here is a post related to a problem based on maximizing arrangements in Mathematics. Try the problem and learn the solution.

## Gaps in Permutation | TOMATO Objective Problem

The simplest example of power mean inequality is the arithmetic mean – geometric mean inequality. Learn in this self-learning module for math olympiad

## Geometry of Tangents | ISI Entrance B.Stat 2009

Objective Problem Geometry (ISI Entrance) Find the radius of smaller circle. 01$\frac{3}{4}$2 Key Concepts 2D Geometry Similar Triangles Linear Equations Check the Answer Answer: $\frac{3}{4}$ ISI Entrance B.Stat Objective Problem, India Test of Mathematics at 10+2...

## Series and Trigonometry | ISI B.Stat Entrance 2009

## Well ordering principle and Bezout Theorem

Well ordering principle is a fundamental idea in Number Theory. It can be used to prove Bezout Identity. Learn it from this self learning module

## GCD and Bezout Theorem

Bezout Theorem connects GCD of two numbers with a linear equation. Learn more about this number theory tool useful for Math Olympiad and ISI Entrance.

## Division Algorithm

Division algorithm leads to form of a number. That in turn is useful in Number Theory. Learn it in this self-learning module for ISI Entrance and math olympiad

## Parallelogram – CMI Entrance, 2019 – Problem 4

The simplest example of power mean inequality is the arithmetic mean – geometric mean inequality. Learn in this self-learning module for math olympiad

## Gauss Trick in ISI Entrance

Gauss trick can be used to solve tricky algebra problems. Learn it in this self-learning module for ISI Entrance and math olympiad

## Bijection Principle from I.S.I. Entrance

Bijection principle is an important tool in combinatorics. This problem from I.S.I Entrance is useful for Math Olympiad. Try video, sequential hints and practice problems.

## Primes and Polynomials from I.S.I. Entrance

Prime numbers are related with polynomials. This problem from I.S.I Entrance is useful for Math Olympiad. Try video, sequential hints and practice problems.

## Gromov boundary

In mathematics, the Gromov boundary of a δ-hyperbolic space (especially a hyperbolic group) is an abstract concept generalizing the boundary sphere of hyperbolic space. Conceptually, the Gromov boundary is the set of all points at...

## Divisibility – B.Stat. (Hons.) Admission Test 2005 – Objective Problem 3

Try this beautiful problem of combinatorics particularly in divisibility of a number fromB.Stat. (Hons.) Admission Test 2005. You may use sequential hints to help you solve the problem.

## Complex number- ISI entrance B. Stat. (Hons.) 2003- problem 5

Try this beautiful problem of complex number in which we have to find range of the value of a variable so that the relation is valid. Let’s solve and use hints if required.

## Quadratic Equation ISI entrance B. Stat. (Hons.) 2003 problem 4

Try this beautiful problem of quadratic equation in which we have to find range of the roots. Let’s solve and use hints if required.

## Coordinate Geometry – B.Stat. (Hons.) Admission Test 2005 – Objective Problem 5

Try this beautiful problem of Coordinate Geometry particularly from Nature of curve fromB.Stat. (Hons.) Admission Test 2005. You may use sequential hints to help you solve the problem.

## Geometric Progression- ISI Entrance B. Stat (Hons) 2003- Problem 3

The simplest example of power mean inequality is the arithmetic mean – geometric mean inequality. Learn in this self-learning module for math olympiad

## Logarithm ISI entrance B. Stat. (Hons.) 2003 problem 2

## Multi Variable Equations – CMI UG Entrance 2019 – Problem 5

## Consecutive terms of a series, B. Stat Hons., 2003 Problem-1

The simplest example from sequence and series of comparing two consecutive terms of the sequnce. Learn in this self-learning module for math olympiad

## Problem based on divisibility – CMI 2015 -problem 3

The simplest example of Divisibility and factorisation. Learn in this self-learning module for math olympiad

## Root of Equation- B.Stat. (Hons.) Admission Test 2005 – Objective Problem 2

Try this beautiful problem of Algebra prticularly in cubic equation fromB.Stat. (Hons.) Admission Test 2005. You may use sequential hints to help you solve the problem.

## Complex Number- B.Stat. (Hons.) Admission Test 2005 – Objective Problem 4

Try this beautiful problem of Complex number particularly in De moivers theorem fromB.Stat. (Hons.) Admission Test 2005. You may use sequential hints to help you solve the problem.

## Combinatorics – B.Stat. (Hons.) Admission Test 2005 – Objective Problem 1

Try this beautiful problem of arranging things in particular integers fromB.Stat. (Hons.) Admission Test 2005. You may use sequential hints to help you solve the problem.

## Power Mean Inequality for Math Olympiad

## Euclidean Algorithm for Math Olympiad

Euclidean algorithm is used to find GCD (greatest common divisor). Use tutorial video and practise problems to master this tool.

## Discriminant of the quadratic equation and basic inequalities ISI 2016 Bstat /Bmath entrance problem 26

Try this beautiful problem from AMC 8. It involves basic inequalities and properties of discriminant of the quadratic equation. We provide sequential hints so that you can try the problem.

## Calculating the limit of the function I.S.I. (Indian Statistical Institute) B.Stat/B.Math Entrance Examination 2016, problem 21

Try this beautiful problem from I.S.I. (Indian Statistical Institute) B.Stat/B.Math Entrance Examination 2016 It is based on simple manipulations and limit of a function. We provide sequential hints so that you can try the problem.

## Limit and differentiability of a function-I.S.I B.Stat. Entrance 2017, UGA Problem 5

Try this beautiful problem from I.S.I B.Stat. Entrance 2017, UGA . It involves limit and differentiability of a function. We provide sequential hints so that you can try the problem.

## Maximum and Minimum of a function-I.S.I B.Stat. Entrance 2017, UGA Problem 20

Try this beautiful problem from ISI B.Stat. Entrance 2017, UGA It involves maximum and minimum property of a function. We provide sequential hints so that you can try the problem.