You accidentally run `chmod -x $(which chmod)`. How do you fix it?
"I'll copy it from another machine." "There are no other machines."
"I'll set the execute bit from python or perl." "There are no interpreters on your machine."
`cat /bin/chmod > /bin/ping6; mv /bin/ping6 /bin chmod` will sort you out.
The problem is it's trivia, and not really discoverable in an interview scenario.