Understand the problem The sum of Infinity series ( 1 + frac{2}{3} + frac{6}{3^2} + frac{10}{3^3} + frac{14}{3^4} + …….) is Source of the problem Sample Questions(MMA) : 2018 Problem no 24 Topic Probability Difficulty Level Medium...

Understand the problem If A = begin{bmatrix} 2&i\i&0end{bmatrix} , the trace of (A^{10}) is Source of the problem Sample Questions (MMA):2019 Topic Linear Algebra Difficulty Level Medium Suggested Book Introduction to Linear Algebra by Pearson Start with hints...

Understand the problem Let G, H be finite groups. Then any subgroup of G × H is equal to A × B for some subgroups A<G and B<H Source of the problem TATA INSTITUTE OF FUNDAMENTAL RESEARCH -GS-2018 (Mathematics) -Part A -Question 9 Topic Group Theory Difficulty...

This is a work in progress. Please post your answers in the comment. We will update them here. Point out any error that you see here. Thank you. 1. 42. 133. 134. 725. 106. 297. 518. 499. 1410. 5511. 612. 1813. 1014. 5315. 4516. 4017. 3018. 2019. 1320. Bonus21. 1722....

Combinatorics is one of the most important topic for the preparation of Mathematics Olympiad culture as well as American Mathematical Contest(also known as AMC). AMC10/12 Combinatorics Problem which is composed of selected problems from previous year. AMC 10 [Q.1]A...