# 2011 AMC8 Problem 21

#### bridge

##### Member
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?

$$\textbf{(A) }29\qquad\textbf{(B) }31\qquad\textbf{(C) }37\qquad\textbf{(D) }43\qquad\textbf{(E) }48$$