# Math Competition Problems - Problem of the Week # 9

Updated: Oct 6, 2018

**Five points, A, B, C, D, and E, in that order, lie along a circular path. An ant travels around the path, beginning at A, moving on to B, then C, and so on through E, then back around, in alphabetical order. What is the 28th letter it touches? **
**Source - MOEMS**

A problems from MOEMS for grades 4-6

**So the ant goes ....**

Which means every 5th step the Ant takes lands it in E.

Hence the 25th step would also be a E and thus the **28th letter it touches would be C**.

Wasn't that easy?

Now try this on your own. This uses the concept of exponents along with units digit understanding (Modular arithmetic)

**Post the answer to the problem in the comments section below. **