MathDB

6

Part of 2019 India PRMO

Problems(2)

Simple NT Problem

Source:

8/11/2019
Let abc‾\overline{abc} be a three digit number with nonzero digits such that a2+b2=c2a^2 + b^2 = c^2. What is the largest possible prime factor of abc‾\overline{abc}
number theoryDiophantine equation
An easy Geo

Source: PRMO 2019 Leg 2 P6

8/25/2019
Let ABCABC be a triangle such that AB=ACAB=AC. Suppose the tangent to the circumcircle of ABC at B is perpendicular to AC. Find angle ABC measured in degrees
geometryTriangle