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Olympiad Question on Algebra: Exponents & Indices

Olympiad Question on Mathematics: Algebra / Exponents & Indices

Binomial Theorem: Expansion & Divisibility (Question taken from Putnam)

Pure Geometry: Question on Triangles and Squares

Question on Indefinite Integration (Method of Substitution with Theory of Partial Fractions)

Theory of Equations: Roots of a Quadratic Equation (Question from Putnam)

Probability & Statistics: Markov Chains and Their Long Run Behaviour

Algebra: Inequalities (Question taken from Putnam)

Algebra: Question on Theory of Equations (Question asked in Stanford University)

Olympiad Question on Inequalities (Algebra)

Question on Number Theory

Pythagorean Theorem Day is a holiday that is celebrated when the sum of the squares of the first two parts of the date equals the square of the last part. The last Pythagorean Theorem Day was August 15, 2017 (15² + 8² = 17²), the next will be December 16, 2020 (16² + 12² = 20²). There are only three more this century: 16th Dec 2020, 24th July 2025, and 24th October 2026.