You are looking after a rather annoying nephew for the afternoon, and the internet is down. So you devise a task for him. You draw the following circle.

Then you put a counter on the D at the leftmost part of the circle. You tell him to follow
these rules.

1. If the counter is on an A, move it clockwise 1 position.

2. If the counter is on a B, move it clockwise 4 positions.

3. If the counter is on a C, move it clockwise 2 positions.

4. If the counter is on a D, move it to directly opposite its current position.

5. If the counter is on an E, move it anticlockwise 2 positions.

Question:

You then ask him where the counter would be after 61 moves.

Which letter would the counter be on?

ABC

DE