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Find the remainder

Source: MTRP 2019 Class 11-Multiple Choice Question: Problem 7 :-

April 9, 2020
number theorygeometry

Problem Statement

Let nn be the number of isosceles triangles whose vertices are also the vertices of a regular 2019-gon. Then the remainder when nn is divided by 100
[*] 15 [*] 25 [*] 35 [*] 65