Problem Solving





Example-8




Question


If X and Y are prime numbers, which of the following can not be the sum of X and Y?

(A) 5

(B) 9

(C) 13

(D) 16

(E) 23


Analysis


The prime numbers less than 23 are1, 2, 3, 5, 7, 11, 13, 17 and 19. The choices 5,9,13 and 16 can be written as [2+3], [2+7], [2 +11] and [5+11]. It is only 23 which can be the sum of two prime numbers.

So, (E) is the answer.

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