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Is the integer n even? (1) n – 5 is an odd integer (2) n/5 is an even https://gmatclub.com/forum/istheintegerneven1n5isanoddinteger2n5isaneven100867.html 
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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 even From 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 even From 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) \(n5=odd\) > \(nodd=odd\) > \(n=odd+odd=even\). 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 = EVEN 2. EVEN  ODD = ODD 3. ODD  EVEN = ODD 4. EVEN  EVEN = EVEN 5. (ODD)(ODD) = ODD 6. (ODD)(EVEN) = EVEN 7. (EVEN)(EVEN) = EVEN Target question: Is integer n even? Statement 1: n – 5 is an odd integer Since 5 is ODD, statement 1 is saying: n  ODD = ODD From rule #2 above, we can conclude that n is EVEN So, 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 EVEN So, the answer to the target question is "YES, n IS even" Since we can answer the target question with certainty, statement 2 is SUFFICIENT Answer: D Cheers, Brent 
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Post subject:  Re: Is the integer n even? (1) n – 5 is an odd integer (2) n/5 is an even 
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