The number of points on the circle equals the number of spaces between the points around the circle. Moving from the point labelled $7$ to the point labelled $35$ requires moving $35-7=28$ points and so $28$ spaces around the circle. Since the points labelled $7$ and $35$ are diametrically opposite, then moving along the circle from $7$ to $35$ results in travelling halfway around the circle. Since $28$ spaces makes half of the circle, then $2 \cdot 28=56$ spaces make the whole circle. Thus, there are $56$ points on the circle, and so $n=56$.