The Kobayashi Maru refers to a no-win scenario given to the command-track students of Starfleet Academy. They aren't told it's a no-win situation, the goal is to make sure they can keep calm and see how they cope with the situation.
In the scenario, they're in command of a starship and have to rescue another ship, named the Kobayashi Maru, but in doing so they fall into a trap that results in both ships being destroyed and all crew killed.
TOS-era Captain Kirk was the first to win the no-win scenario. He did so by cheating: reprogramming the computer.
In that episode of The Office, Clark uses that Star Trek reference and his superior knowledge of the position he's applying to to get the job instead of Dwight's friends. I'm aware that it's from Star Trek (that's also mentioned in the episode), but I appreciate your detailed explanation!
Kobayashi Maru + the word "interview" makes it a double reference :)
Original context:
The Kobayashi Maru refers to a no-win scenario given to the command-track students of Starfleet Academy. They aren't told it's a no-win situation, the goal is to make sure they can keep calm and see how they cope with the situation.
In the scenario, they're in command of a starship and have to rescue another ship, named the Kobayashi Maru, but in doing so they fall into a trap that results in both ships being destroyed and all crew killed.
TOS-era Captain Kirk was the first to win the no-win scenario. He did so by cheating: reprogramming the computer.