Catch-22

#0012 Catch-22A situation in which paradoxical rules make a desired outcome impossible to achieve.
Unsolvable logical dilemma.

This word was first coined by Joseph Heller in his novel Catch-22

Examples:
- So it’s a Catch-22: You can’t get hired unless you have experience; but you can’t get experience unless you’re hired.
- If you don't have a place to stay, you can't get a job and with no job, you can't get an apartment. It's a Catch 22 situation.