 ## Derivative of Function Problem | TOMATO BStat Objective 756

Try this problem from I.S.I. B.Stat Entrance Objective Problem based on Derivative of Function. Derivative of Function Problem (B.Stat Objective Question ) Let f(x)=x[x] where [x] denotes the greatest integer smaller than or equal to x where x is not an integer, what...

## 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...

## Problem on Fibonacci sequence | AIME I, 1988 | Question 13

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1988 based on Fibonacci sequence. Fibonacci sequence Problem – AIME I, 1988 Find a if a and b are integers such that $x^{2}-x-1$ is a factor of $ax^{17}+bx^{16}+1$....

## 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...