On seven tests, each out of 100 marks, Siobhan received marks of $69,53,69,71,78$, $x$, and $y$. If her average mark on the seven tests is 66 , then the minimum possible value of $x$ is
(A) 22
(B) 68
(C) 61
(D) 53
(E) 0
Since Siobhan's average on the seven tests is 66 , then the sum of the marks on the seven tests is $7 \times 66=462$.

From the given marks, $69+53+69+71+78+x+y=462$ or $340+x+y=462$ so $x+y=122$. Since the sum of $x$ and $y$ is constant, then for the value of $x$ to be minimum, we need the value of $y$ to be maximum, so $y=100$.

Therefore, the minimum possible value of $x$ is $122-100=22$.

ANsWER: (A)