Understand the problem Z be the set of all integers. Determine all f : Z -> Z such that, for all integers a, b Source of the problem IMO 2019 Problem 1 Topic Functional Equation Difficulty Level 5 out of 10 Suggested Book Functional Equation and How to Solve...

Understand the problem Positive integers and are each less than . What is the smallest possible value for ? Source of the problem 2013 AMC 10B Problem 5 Topic Inequality Difficulty Level 3 out of 10 Suggested Book Inequalities: A Mathematical Olympiad Approach Start...

Magic Squares are infamous; so famous that even the number of letters on its Wikipedia Page is more than that of Mathematics itself. People hardly talk about Magic Rectangles. Ya, Magic Rectangles! Have you heard of it? No, right? Not me either! So, I set off to...

This is a work in progress. Please suggest improvements in the comment section. Problems Objective I.S.I. M.Math Subjective 2019 Objective Section (Answer Key) 1. C 2. D 3. B 4. C 5. A 6. D 7. B 8. D 9. D 10. D 11. A 12. B 13. B 14. A 15. C 16. A 17. C 18. A...

Do you know that CLOCKS add numbers in a different way than we do? Do you know that ROTATIONS can also behave as numbers and they have their own arithmetic? Well, this post is about how clocks add numbers and rotations behave like numbers. Consider the clock on earth....