PASCAL 2007 Problem 21

P,Q,R,S, and T are five different integers between 2 and 19 inclusive.

  • P is a two-digit prime number whose digits add up to a prime number.
  • Q is a multiple of 5.
  • R is an odd number, but not a prime number.
  • S S is the square of a prime number.
  • T is a prime number that is also the mean (average) of P and Q.

Which number is the largest?

Answer Choices
A. P
B. Q
C. R
D. S
E. T