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Re: If n and p are integers, is p > 0? [#permalink]

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28 Aug 2014, 06:15

Hello from the GMAT Club BumpBot!

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Re: If n and p are integers, is p > 0? [#permalink]

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18 May 2016, 06:44

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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This is a question that appears in PREP. There are 2 variables (n and p). In order to match the number of variables to the number of equations, we need 2 equations. Since the condition 1) and the condition 2) each has 1 equation, there is high chance that C is the correct answer. Using both the condition 1) and the condition 2), we get n=1,2,3....>0. Then, p also becomes positive. The answer is yes and the condition is sufficient. Thus, the correct answer is C.

- For cases where we need 2 more equations, such as original conditions with “2 variables”, or “3 variables and 1 equation”, or “4 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 70% chance that C is the answer, while E has 25% chance. These two are the majority. In case of common mistake type 3,4, the answer may be from A, B or D but there is only 5% chance. Since C is most likely to be the answer using 1) and 2) separately according to DS definition (It saves us time). Obviously there may be cases where the answer is A, B, D or E.
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Re: If n and p are integers, is p > 0? [#permalink]

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12 Dec 2016, 21:04

This is a really easy question but could not hold on to my temptation of penning down the solution. we know n and p are integers so they can be 0 or + or -ve.

now 1) n+1>0 hence n>-1 n =0, 1 , 2 etc thus N is positive but no info about P insuff

2) NP>0 which means both and n and p has same sign but no info about the sign insuff

combining we have n>0 and n and p have same sign so p is positive suff

Re: If n and p are integers, is p > 0? [#permalink]

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05 Feb 2017, 00:08

Let's consider (1) N+1 >0. This clearly tells you nothing about p, so is insufficient by itself, ruling out A&D.

Let's look at (2). np >0. This tells us that n,p and either both positive or both negative. Therefore it is insufficient to answer whether p >0, so we can eliminate B.

Now let's consider (1) and (2) together. (1) combined with the fact that N and P are integers tells us that N>= 0. (2) tells us that N and P are either both positive or both negative and that neither are equal to 0. Combined with (1) we therefore know what N is positive, and from (2) P must be positive too. So (1) and (2) together are sufficient and the answer is C.
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Thanks & Regards, Anaira Mitch

gmatclubot

Re: If n and p are integers, is p > 0?
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05 Feb 2017, 00:08

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