If X and Y are prime integers, what is X+Y? 1. X-Y is a : GMAT Data Sufficiency (DS)
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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 [#permalink]

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29 Jul 2010, 12:35
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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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29 Jul 2010, 12:44
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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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01 Aug 2010, 08:29
yeah. this is easy! =)
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01 Aug 2010, 21:58
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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05 Aug 2010, 13:14
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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06 Aug 2010, 01:26
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)
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Re: If X and Y are prime integers, what is X+Y? 1. X-Y is a [#permalink]

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27 Dec 2016, 22:53
I think that the quickest way to solve subject issue is using substitution approach
(1) X-Y=prime
5-3=2
5-2=3
Not Suff
(2) X<Y<6
agin not Suff
As long as (1) & (2) have the same conditions then (1) +(2) is not Suff as well

Re: If X and Y are prime integers, what is X+Y? 1. X-Y is a   [#permalink] 27 Dec 2016, 22:53
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