2. The bell of 2013 rang, and Brother Xiao Ming sighed: This is the first time in my life that I will go through a year with no repeated digits. It is known that Brother Xiao Ming was born in a year that is a multiple of 19. So, how old is Brother Xiao Ming in 2013?
A. 16
B. 18
C. 20
D. 22
Analysis: Simple number theory.
From 1990 to 2012, the years all have repeated digits, among which the numbers that are multiples of 19 are only $1900+95=1995, 2012-$ $1995=18$ (years old), so the answer is B.