Problem #PRU-100447

Problems Divisibility Odd and even numbers Division with remainders. Arithmetic of remainders Number Theory

Problem

One sunny day Alice met the White Rabbit. The Rabbit told her that he owns a pocket watch which has 11 gears arranged in a chain loop. The rabbit asked Alice if it was possible for all the gears to rotate simultaneously. What is your opinion on this matter? Can all the gears rotate simultaneously?