A positive integer whose digits are the same when read forwards or backwards is called a palindrome. An example of a palindrome is 13931. What is the sum of the digits of the next palindrome greater than 13931?
(A) 14
(B) 11
(C) 19
(D) 10
(E) 8
There is no integer greater than 13931 and less than 14000 that is a palindrome. (You should consider why this is true before reading on.)

Let the next palindrome greater than 13931 be $N$.

We proceed under the assumption that $N$ is between 14000 and 15000 and will show that this assumption is correct.

A 5-digit palindrome is a number of the form $a b c b a$. That is, the ten thousands digit, $a$, must equal the ones digit and the thousands digit, $b$, must equal the tens digit.

Since $N$ is at least 14000, the smallest possible value of $a$ (the ten thousands digit) is 1.

Since the smallest possible value of $a$ is 1 and $N$ is at least 14000, the smallest possible value of $b$ (the thousands digit) is 4 .

Thus $N$ is a number of the form $14 c 41$.

Letting the hundreds digit, $c$, be as small as possible we get that $N$ is 14041 and has digit sum $1+4+0+4+1=10$.

ANSWER: (D)