Problem #WSP-000060

Problems Number Theory

Problem

A brave witch is out there hunting monsters for coin. She noticed that every 5th monster she encounters has wings, every 16th has a fiery breath, every 6th has fangs and every 14th has a pile of treasure. Now, the only monster with wings, fiery breath, fangs and a pile of treasure is a dragon and witches don’t hunt dragons. Assuming that the witch has just met a dragon, how many monsters will she have to hunt to meet another one?