AMC 8 1990 Problem 22

Several students are seated at a large circular table. They pass around a bag containing $100$ pieces of candy. Each person receives the bag, takes one piece of candy and then passes the bag to the next person. If Chris takes the first and last piece of candy, then the number of students at the table could be $\text{(A)}\ 10 \text{(B)}\ 11 \text{(C)}\ 19 \text{(D)}\ 20 \text{(E)}\ 25$