MathDB
Guessing Ages

Source:

November 23, 2011

Problem Statement

Students guess that Norb's age is 24,28,30,32,36,38,41,44,4724, 28, 30, 32, 36, 38, 41, 44, 47, and 4949. 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?
<spanclass=latexbold>(A)</span>29<spanclass=latexbold>(B)</span>31<spanclass=latexbold>(C)</span>37<spanclass=latexbold>(D)</span>43<spanclass=latexbold>(E)</span>48 <span class='latex-bold'>(A)</span>29\qquad<span class='latex-bold'>(B)</span>31\qquad<span class='latex-bold'>(C)</span>37\qquad<span class='latex-bold'>(D)</span>43\qquad<span class='latex-bold'>(E)</span>48