Answer:
B is symmetric; A is not.
Explanation:
Since you did part A, you know that the ends of each box are roughly symmetrically located with respect to the extremes of data in each case. However, the median of the data for School A is decidedly near the right end of the box; whereas the median for School B is in the center of the box.
This last fact gives the box plot for School B a symmetric appearance that is not shared by the plot for School A.