MathDB

6

Part of 2010 ISI B.Math Entrance Exam

Problems(1)

I.S.I. B.Math.(Hons.) Admission test : 2010 Problem 6

Source:

4/10/2012
Let each of the vertices of a regular 99-gon (polygon of 9 equal sides and equal angles) be coloured black or white . (a).(a). Show that there are two adjacent verices of same colour. (b).(b). Show there are three vertices of the same colour forming an isosceles triangle.