Let $f(x)=a x^{2}+b x+c$, where $a$, $b$, and $c$ are integers. Suppose that $f(1)=0,20\textless f(3)\textless24,36\textless f(4)\textless40$, $10 k\textless f(10)\textless10(k+1)$ for some integer $k$. What is $k$? (Adapted From2011 AMC 12A Problems, Question 20) 
选项为:A:$$11$$  B:$$22$$  C:$$23$$  D:$$14$$  E:$$25$$  请回答其中一个选项.