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2011 AMC 8 Question 21

AMC8 · 2011 AMC 8

Question 21

Students guess that Norb’s age is $24,$ $28,$ $30,$ $32,$ $36,$ $38,$ $41,$ $44,$ $47,$ and $49.$ Norb says, “At least half of you guessed too low, two of you are off by one, and my age is a prime number.” How old is Norb?
  1. $29$
  2. $31$
  3. $37$
  4. $43$
  5. $48$