TOS-era Trivia

It's a holiday here on Ceti Alpha 3 - so it's time to invite the gamemaster to join us for some Star Trek: The Original Series trivia. However, we are not all TOS experts, so these trivia questions are a little ... different. So play along and see if you can guess what's wrong, what episodes are being referenced, and how well you know the actual NCC-1701 ship.