But the Grecians worked hard to amend the deficit after the break, with Chris Shephard and Kyle Bassett both hitting the target to level the score.
Torquay defender Chris Robertson sat out the match as a precaution.
Paul Buckle's men will now face Weston-Super-Mare in their penultimate pre-season match on Wednesday, kick-off 1945 BST.
Source: BBC Sport
Source: BBC Sport