A2. Lili found that the average of the digits of the year 2015 is 2, since $\frac{2+0+1+5}{4}=2$. How many times in the 21st century after the year 2015 will a year have the same average of digits as the year 2015?
(A) 1
(B) 2
(C) 5
(D) 6
(E) 9
A2. The sum of the digits of the year must be 8. Since it is a year in the 21st century, the first two digits are 2 and 0. The sum of the last two digits must therefore be 6. There are five such years after 2015, they are $2024, 2033, 2042, 2051$ and 2060.