If the sum of a set of 5 different positive prime numbers is 94, which of the following prime numbers must be in the set?
Choose the correct option:
A) 2,7,43  B) 3,11,31  C) 5,71,31  D) 7,43,53  E) 11,43,31
All prime numbers apart from 2 are odd.   Even + Even = Even   Odd + Even = Odd   Odd + Odd = Even   We are given 5 different prime numbers, whose sum is 94 i.e even   If we include 2, we will have 4 odd prime numbers and one even.   This sum would be odd   If we exclude 2, we will have 5 odd numbers.   This sum would be even   Hence 2 is included.   Option 2,7,43
<result>A</result>
If the sum of a set of 5 different positive prime numbers is 94, which of the following prime numbers must be in the set?