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 Author: Orange08 [ 11 Sep 2010, 14:21 ] Post subject: Is the integer n even? (1) n – 5 is an odd integer (2) n/5 is an even Is the integer n even?(1) n – 5 is an odd integer.(2) n/5 is an even integer.From 1, shouldn't the value of n be counted as 0? n = 0, 2,4,6, etc. Thus, can't tell if n is even for all values. 0 isn't considered evenFrom 2, n = 10, 20, 30 etc. and thus n is always even. sufficient.Please correct me if I am wrong in my understanding for statement 1.

 Author: Bunuel [ 11 Sep 2010, 14:28 ] Post subject: Re: Is the integer n even? (1) n – 5 is an odd integer (2) n/5 is an even Orange08 wrote:Is the integer n even?(1) n – 5 is an odd integer.(2) n/5 is an even integer.From 1, shouldn't the value of n be counted as 0? n = 0, 2,4,6, etc. Thus, can't tell if n is even for all values. 0 isn't considered evenFrom 2, n = 10, 20, 30 etc. and thus n is always even. sufficient.Please correct me if I am wrong in my understanding for statement 1.Given: $$n=integer$$. Question: is $$n=even$$?(1) $$n-5=odd$$ --> $$n-odd=odd$$ --> $$n=odd+odd=even$$. Sufficient.(2) $$\frac{n}{5}=even$$ --> $$n=5*even=even$$. Sufficient.Answer: D.P.S. Zero is an even number:Zero is an even integer, though it's neither positive nor negative.An even number is an integer that is "evenly divisible" by 2, i.e., divisible by 2 without a remainder.An even number is an integer of the form $$n=2k$$, where $$k$$ is an integer.So for $$k=0$$ --> $$n=2*0=0$$.An odd number is an integer that is not evenly divisible by 2. An odd number is an integer of the form $$n=2k+1$$, where $$k$$ is an integer.Hope it helps.

 Author: saxenashobhit [ 11 Sep 2010, 14:28 ] Post subject: Re: Is the integer n even? (1) n – 5 is an odd integer (2) n/5 is an even zero is a even number. any number that is multiple of 2 is even so 2* zero is zero.Answer D

 Author: BrentGMATPrepNow [ 21 Nov 2017, 09:25 ] Post subject: Is the integer n even? (1) n – 5 is an odd integer (2) n/5 is an even Orange08 wrote:Is the integer n even?(1) n – 5 is an odd integer.(2) n/5 is an even integer.Some important rules: 1. ODD - ODD = EVEN2. EVEN - ODD = ODD3. ODD - EVEN = ODD4. EVEN - EVEN = EVEN5. (ODD)(ODD) = ODD6. (ODD)(EVEN) = EVEN7. (EVEN)(EVEN) = EVENTarget question: Is integer n even? Statement 1: n – 5 is an odd integer Since 5 is ODD, statement 1 is saying: n - ODD = ODDFrom rule #2 above, we can conclude that n is EVENSo, the answer to the target question is "YES, n IS even"Since we can answer the target question with certainty, statement 1 is SUFFICIENT Statement 2: n/5 is an even integer.First multiply both sides by 5 to get: n = (5)(some EVEN integer)Since 5 is ODD, we statement 2 is saying: n = (ODD)(EVEN)From rule #6 above, we can conclude that n is EVENSo, the answer to the target question is "YES, n IS even"Since we can answer the target question with certainty, statement 2 is SUFFICIENTAnswer: DCheers, Brent

 Author: bumpbot [ 19 May 2021, 01:12 ] Post subject: Re: Is the integer n even? (1) n – 5 is an odd integer (2) n/5 is an even 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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