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# M25 - Q30

Author Message
Current Student
Joined: 12 Nov 2008
Posts: 365
Schools: Ross (R2), Cornell (R3) , UNC (R3) , INSEAD (R1 Jan)
WE 2: FP & Analysis (2 yrs at matriculation)

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20 Jul 2009, 12:49
If X and Y are prime integers, what is X+Y ?

1. X-Y is a prime integer.
2. Y<X<6

• Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
• Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
• EACH statement ALONE is sufficient
• Statements (1) and (2) TOGETHER are NOT sufficient

Statement (1) by itself is insufficient. Consider X=13, Y=11 and X=7 , Y=5
Statement (2) by itself is insufficient. Consider X=5, Y=3 and X=3 , Y=2
Statements (1) and (2) combined are insufficient. Consider X=5, Y=3 and X=5, Y=2

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I believe the correct answer is C, since 1 is not a prime number, therefore the only possible pair is 3 and 5.

Thoughts?
Director
Joined: 01 Aug 2008
Posts: 687

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20 Jul 2009, 13:15
yes .. I agree, the answer should be C. 5, and 2 fits in ...

only 2, 3, and 5 are primes under 6 so 5, 2 works and 5, 3 works as well.
Senior Manager
Joined: 11 Dec 2008
Posts: 467
Location: United States
GMAT 1: 760 Q49 V44
GPA: 3.9

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23 Jul 2009, 13:32
Quote:
Statements (1) and (2) combined are insufficient. Consider X=5, Y=3 and X=5, Y=2

case 1) Y=2, X=5 1) X - Y = 3 is a prime integer and 2) Y<X<6 => X+Y = 7
case 2) Y=3, X=5 1) X - Y = 2 is a prime integer and 2) Y<X<6 => X+Y = 8

Founder
Joined: 04 Dec 2002
Posts: 16640
Location: United States (WA)
GMAT 1: 750 Q49 V42

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23 Jul 2009, 13:36
FYI - this is question 29
Discussed here: m25-71385.html

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Re: M25 - Q29   [#permalink] 23 Jul 2009, 13:36
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# M25 - Q30

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