The product of two integers is 40. Which of the following CANNOT be the sum of these two integers?

[BTGModeratorVI]

The product of two integers is 40. Which of the following CANNOT be the sum of these two integers?

(A) -41
(B) -14
(C) 3
(D) 13
(E) 14

Answer: C
Source: Magoosh

[Brent@GMATPrepNow]

The product of two integers is 40. Which of the following CANNOT be the sum of these two integers?

(A) -41
(B) -14
(C) 3
(D) 13
(E) 14

Answer: C
Source: Magoosh

Let's examine PAIRS of values with a product of 40

-1 and -40 add to -41 ELIMINATE A
-2 and -20 add to -22 no options to eliminate
-4 and -10 add to -14 ELIMINATE B
4 and 10 add to 14 ELIMINATE E
5 and 8 add to 13 ELIMINATE D

By the process of elimination, the correct answer is C

Cheers,
Brent