Friday Puzzle

We're back on the ol' island of liars and truth-tellers….

I've written a random number on a card and shown it to Mark, Nancy, Owen, and Patty, one of whom is a "liar" (who always lies, and the other 3 being truth-tellers who always tell the truth).

Mark remarks that "It is not 150"
Owen notes, "It has two digits"
Nancy says, "It divides evenly into 150"
Patty says, "It is divisible by 25"

Which islander is a liar:

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ANSWER:

Patty is the liar