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February 29, 2020
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

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February 28, 2020
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.

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February 23, 2020
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

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February 22, 2020
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

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February 22, 2020
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

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February 21, 2020
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.

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February 19, 2020
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.

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February 17, 2020
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 infinity. For instance, the Gromov boundary of the real line is two points, corresponding to positive and negative infinity. Suppose X is any set. It is, Suppose, we have […]

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February 16, 2020
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.

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February 14, 2020
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.

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July 17, 2020
Numbers of positive integers | AIME I, 2012 | Question 1

Try this beautiful problem number 1 from the American Invitational Mathematics Examination, AIME, 2012 based on Numbers of positive integers.

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July 16, 2020
Number of points and planes | AIME I, 1999 | Question 10

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on the number of points and planes.

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July 15, 2020
Arithmetic Sequence Problem | AIME I, 2012 | Question 2

Try this beautiful problem number 2 from the American Invitational Mathematics Examination I, AIME I, 2012 based on Arithmetic Sequence Problem.

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July 14, 2020
Graph Coordinates | AMC 10A, 2015 | Question 12

Try this beautiful Problem on Graph Coordinates from co-ordinate geometry from AMC 10A, 2015. You may use sequential hints to solve the problem.

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July 13, 2020
Digits of number | PRMO 2018 | Question 3

Try this beautiful problem from the Pre-RMO, 2018 based on Digits of number. You may use sequential hints to solve the problem.

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July 13, 2020
Smallest value | PRMO 2018 | Question 15

Try this beautiful problem from the Pre-RMO, 2018 based on the Smallest value. You may use sequential hints to solve the problem.

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July 12, 2020
Length and Triangle | AIME I, 1987 | Question 9

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1987 based on Length and Triangle.

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July 11, 2020
Positive Integer | PRMO-2017 | Question 1

Try this Integer Problem from Algebra from PRMO 2017, Question 1 You may use sequential hints to solve the problem.

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July 11, 2020
Algebra and Positive Integer | AIME I, 1987 | Question 8

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1987 based on Algebra and Positive Integer.

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July 10, 2020
Distance and Spheres | AIME I, 1987 | Question 2

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1987 based on Distance and Spheres.

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