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Problem 20 - Entrance Test

If the mode of 5,7,9,x,5,7,9 is 7, then x cannot be

Correct: D

Mode is most frequent. 7 already appears twice. To remain mode, 7 must appear at least as often as others. x=7 keeps mode 7; x=5 or 9 would make 5 or 9 tie. Thus x cannot be 11 (no tie).