If f and g are integers, is fg + 2 prime? (1) f is odd. (2)

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

by BTGmoderatorDC » Fri Aug 16, 2019 5:24 pm

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If f and g are integers, is fg + 2 prime?

(1) f is odd.
(2) g is even.

OA E

Source: Princeton Review

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Source: Beat The GMAT — Data Sufficiency | Fri Aug 16, 2019 5:24 pm

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Ian Stewart: GMAT Instructor; Posts: 2623; Joined: Mon Jun 02, 2008 3:17 amFollowed by: 355 members; Location: Montreal; Thanked: 1090 times; GMAT Score:780

by Ian Stewart » Sat Aug 17, 2019 5:19 am

Using both Statements, if g = 0, then fg+2 = 2, and it's prime, but if g is any other even integer, fg+2 will be even and will not equal 2, so will not be prime. So the answer is E.

For online GMAT math tutoring, or to buy my higher-level Quant books and problem sets, contact me at ianstewartgmat at gmail.com

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