CAYLEY 2016 Problem 19

A total of n points are equally spaced around a circle and are labelled with the integers 1 to n, in order. Two points are called diametrically\:opposite if the line segment joining them is a diameter of the circle. If the points labelled 7 and 35 are diametrically opposite, then n equals

Answer Choices
A. 54
B. 55
C. 56
D. 57
E. 58