Do employers actually know or care about lying on resume?
The current system of job seeking often requires to lie on resume. It is even being highly recommended by people that coach people for job seeking, although with some moderation of course.
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Employers love it because it gives them plausible legal cover for two essential freedoms:
If they like you anyway, they can hire you and defend any discrimination claims with the fact that you had the strongest resume.
Whenever they stop liking you, they can expose the lie and fire you on the spot for good cause.
So really, it's a win-win situation for both you and your prospective employer.