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

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Manager
Joined: 27 Mar 2008
Posts: 64
If f and g are integers, is fg+2 prime? 1. f is odd 2. g is [#permalink]

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20 Apr 2008, 18:46
00:00

Difficulty:

(N/A)

Question Stats:

100% (00:00) correct 0% (00:00) wrong based on 6 sessions

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

1. f is odd
2. g is even
Manager
Joined: 16 Sep 2007
Posts: 215

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20 Apr 2008, 18:55
1.
f is odd
the product of f x g can be odd or even
therefore fg+2 can be odd or even
even numbers are never prime
fail
2.
g is even
the product of f x g must be even
an even number plus an even number is an even number
fg+2 is always even
pass

B
Current Student
Joined: 28 Dec 2004
Posts: 3357
Location: New York City
Schools: Wharton'11 HBS'12

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20 Apr 2008, 19:03
I would say E

if g=0..then fg=0..then fg+2=2...which is a prime..

if g=2 then fg+2 wont be a prime..
Manager
Joined: 16 Sep 2007
Posts: 215

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20 Apr 2008, 19:05
missing the phrase "positive integer".

Agree E unless typo
Re: DS Question   [#permalink] 20 Apr 2008, 19:05
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