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GMAT prep question, thanks : )

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alcatraz Just gettin' started!
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GMAT prep question, thanks : ) Mon Apr 16, 2012 10:21 am
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• Lap #[LAPCOUNT] ([LAPTIME])
If n and p are integers, is p > 0 ?

1) n+1 > 0
2)np > 0

OA: C

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shubham_k Just gettin' started!
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Mon Apr 16, 2012 10:27 am
n+1 > 0. thus n > -1. so n= {0,1,2,3,4,5.......} ( n is an integer ).
np > 0 thus both n and p have to be greater than zero because the other possibility where n and p both < 0 but earlier condition doesnt allows that. Thus n and p > 0. Conclusion through both the startements hence correct answer C.

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aneesh.kg GMAT Destroyer!
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Mon Apr 16, 2012 11:23 am
Statement (1) talks about 'n' and not about 'p', so it's useless.

Statement (2) can be true when both n > 0 and p > 0, OR when n < 0 and p < 0. So, 'p' can hold any value and this statement is also useless.

Let's try to combine them.

The first statement says that n > -1 and n is an integer. So, n is an integer >= 0.
When we combine this with the second statement, we see that 'n' can't be 0 because 'np' can't be 0. Now, since n > 0 and np > 0, 'p' has to be > 0.

That answers the question with a YES, and therefore [C] is the answer.

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