AMC 10 2023 Part A Problem 14

A number is chosen at random from among the first 100 positive integers, and a positive integer divisor of that number is then chosen at random. What is the probability that the chosen divisor is divisible by 11?

Answer Choices
A. \dfrac{4}{100}
B. \dfrac{9}{200}
C. \dfrac{1}{20}
D. \dfrac{11}{200}
E. \dfrac{3}{50}