Area of a triangle | PRMO 2017 | Question 25

Try this beautiful problem from the Pre-RMO, 2017, Question 25, based on Area of a triangle. Area of triangles – PRMO 2017, Question 25 Let ABCD be a rectangle and let E and F be points on CD and BC respectively such that area (ADE) =16, area (CEF) =9, and area...

Function Problem | AIME I, 1988 | Question 2

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1988 based on function. Function Problem – AIME I, 1988 For any positive integer k, let \(f_1(k)\) denote the square of the sum of the digits of k. For \(n \geq 2\), let...

Solving Equation | PRMO 2017 | Question 23

Try this beautiful problem from the Pre-RMO, 2017, Question 23, based on Solving Equation. Solving Equation – PRMO 2017, Question 23 Suppose an integer r, a natural number n and a prime number p satisfy the equation \(7x^{2}-44x+12=p^{n}\). Find the largest...