GMAT Data Insights Question of the Day

The table displays the academic class spread among Dawn County schools in 2005.

$\begin{tabular}{ |p{3cm}||p{3cm}|p{3cm}|p{3cm}| } \hline \multicolumn{4}{|c|}{Academic Class List} \ \hline Academic Class& Schools Offering Class &% of Schools Offering& # Student Enrollment\ \hline AP English & 4 &50& 467\ English& 6 & 75 &700\ Math &8 & 100& 934\ AP Calculus &4 & 50& 467\ Gym& 5 & 63&588\ Painting& 2 & 25 &233\ Sculpting& 1 & 13&121\ Study Hall & 5& 63&588 \ French & 4& 50& 467\ Latin & 3& 38& 355\ German & 4&50 & 467\ Spanish & 4& 50& 467\ \hline \end{tabular}$

Based on the given information in the table, select the options that can be proven to be true.

I. No class is offered in less than one-third of the schools.

II. Every school in the district offers either Gym or at least one Art class (Painting or Sculpting).

III. Math is an academic class that is offered in all schools in Dawn County.