If X and Y are prime integers, what is X+Y? 1. X-Y is a

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If X and Y are prime integers, what is X+Y? 1. X-Y is a [#permalink]

29 Jul 2010, 13:35

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If X and Y are prime integers, what is X+Y?
1. X-Y is a prime integer
2. Y<X<6

[Reveal] Spoiler: OA

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Re: Prime integers [#permalink]

29 Jul 2010, 13:44

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Stmt 1.
X-Y=Prime number :: 5-3=2 & 7-5=2 Both equations cover stmt 1, hence stmt 1 is insufficient.

Stmt 2.
Y<X<6 :: 2<5<6 & 2<3<6 both inequalities cover stmt 2, hence stmt 2 is also insufficient.

Combining both statments
X & Y can be 2 & 5 or 3 & 5. Hence insufficient. Answer is "E".
Hope it helps.
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Re: Prime integers [#permalink]

01 Aug 2010, 09:29

yeah. this is easy! =)

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Re: Prime integers [#permalink]

01 Aug 2010, 22:58

I used to hate prime number questions. But I feel much comfortable with them since I write down 2,3,5,7 immediately after I see such a questions.

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Re: Prime integers [#permalink]

05 Aug 2010, 14:14

3-2=1, which is not prime, whereas 5-3=2, which is prime. Therefore, the answer must be x=5 and y=2 (5+2=7). The answer should be C, both together are sufficient to answer the question!

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Re: Prime integers [#permalink]

06 Aug 2010, 02:26

crazyum88 wrote:

3-2=1, which is not prime, whereas 5-3=2, which is prime. Therefore, the answer must be x=5 and y=2 (5+2=7). The answer should be C, both together are sufficient to answer the question!

from (1)+(2) we have
x=5, y=3
x=5, y=2
"1" is not a prime, so x=3, y=2 doesn't fit.
2 possible options. Looks like (E)

Re: Prime integers [#permalink] 06 Aug 2010, 02:26

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If X and Y are prime integers, what is X+Y? 1. X-Y is a

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If X and Y are prime integers, what is X+Y? 1. X-Y is a

If X and Y are prime integers, what is X+Y? 1. X-Y is a

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