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If n is an integer, is n + 1 odd?
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30 Jul 2012, 02:15
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The Official Guide for GMAT® Review, 13th Edition  Quantitative Questions ProjectIf n is an integer, is n + 1 odd? (1) n + 2 is an even integer. (2) n 1 is an odd integer. Practice Questions Question: 7 Page: 275 Difficulty: 550 GMAT Club is introducing a new project: The Official Guide for GMAT® Review, 13th Edition  Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you!
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Re: If n is an integer, is n + 1 odd?
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30 Jul 2012, 02:16
SOLUTIONIf n is an integer, is n + 1 odd?In order \(n+1\) to be odd, \(n\) must be even. So, the question basically asks whether \(n\) is an even number. (1) n + 2 is an even integer > \(n+2=even\) > \(n=even2=even\). Sufficient. (2) n 1 is an odd integer > \(n1=odd\) > \(n=odd+1=even\). Sufficient. Answer: D.
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Re: If n is an integer, is n + 1 odd?
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30 Jul 2012, 20:58
A. N, N+1, N+2. If N+2 is even, then N+1 is odd Sufficient B. N1, N, N+1. If N1 is odd, then N+1 is odd. Sufficient



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Re: If n is an integer, is n + 1 odd?
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03 Aug 2012, 05:05
The following Rules will be handy in order to solve this question:
Even Number (+/) Odd Number = Odd Number>(a) Even Number (+/) Even Number = Even Number>(b) Odd Number (+/) Odd Number = Even Number.>(c)
Now coming to the question stem: is N + 1 = Odd. From the question stem itself we know that 1 is an odd number and that the result is odd. From equation (a) above we know that this is only possible when n is even. So, the question is actually asking as if n is even?
Statement (1): n + 2`= Even. "2" as we know is even so this result is only possible if n is even (b). SUFFICIENT
Statement (2): n 1 = Odd. "1" is an Odd Number. This result is only possible if n is even (b). SUFFICIENT
Ans (D)



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Re: If n is an integer, is n + 1 odd?
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03 Aug 2012, 05:46
SOLUTIONIf n is an integer, is n + 1 odd?In order \(n+1\) to be odd, \(n\) must be even. So, the question basically asks whether \(n\) is an even number. (1) n + 2 is an even integer > \(n+2=even\) > \(n=even2=even\). Sufficient. (2) n 1 is an odd integer > \(n1=odd\) > \(n=odd+1=even\). Sufficient. Answer: D.
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Re: If n is an integer, is n + 1 odd?
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11 Sep 2015, 01:04
statement 1 :n+2=even, n=even, n+1 == odd, sufficient Statement 2; n1=odd,n=even, n+1 == odd, sufficient
hence D



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Re: If n is an integer, is n + 1 odd?
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22 Jul 2016, 12:12
Bunuel wrote: The Official Guide for GMAT® Review, 13th Edition  Quantitative Questions ProjectIf n is an integer, is n + 1 odd? (1) n + 2 is an even integer. (2) n 1 is an odd integer. We need to determine whether n + 1 is odd. Remember, if n is even, then n + 1 will be odd, and if n is odd, n + 1 will be even. Statement One Alone:n + 2 is an even integer. Statement one tells us that n is an even integer (since 2 more than an even integer is also an even integer). Because n is an even integer, we know that n + 1 is odd. Statement one is sufficient to answer the question. We can eliminate answer choices B, C, and E. Statement Two Alone:n – 1 is an odd integer. Since subtraction rules for even and odd integers are the same as addition rules for even and odd integers, we know that if n – 1 is odd, then n itself must be even, and hence n + 1 must also be odd. Statement two is sufficient to answer the question. Answer: D
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Re: If n is an integer, is n + 1 odd?
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03 Dec 2016, 18:09
Here is my solution> Some Basic Rules before we attempt this Even/odd Question Even+Even=Even Even+Odd=Odd Odd+Even=Odd Odd+Odd=EvenSimilarly EvenEven=Even EvenOdd=Odd OddEven=Odd OddOdd=Even The Question is asking us whether n+1 is odd or not n+1 will be odd only when n is even. Hence question can be rephrased into "is n even" Statement 1 n+2 is even => n=even 2 => even Hence sufficient Statement 2 n1=odd Hence n=odd+1=> even
hence sufficient Hence D
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Re: If n is an integer, is n + 1 odd?
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22 Mar 2019, 08:09
Bunuel wrote: The Official Guide for GMAT® Review, 13th Edition  Quantitative Questions ProjectIf n is an integer, is n + 1 odd? (1) n + 2 is an even integer. (2) n 1 is an odd integer. Target question: Is n + 1 odd?Some important rules: #1. ODD +/ ODD = EVEN #2. ODD +/ EVEN = ODD #3. EVEN +/ EVEN = EVEN Statement 1: n + 2 is an even integer. In other words: n + EVEN = EVEN In other words: n = EVEN  EVEN By Rule #3, n must be even, which means n+1 is ODD The answer to the target question is YES, n+1 IS oddSince we can answer the target question with certainty, statement 1 is SUFFICIENT Statement 2: n 1 is an odd integer.In other words: n  ODD = ODD In other words: n = ODD + ODD By Rule #1, n must be even, which means n+1 is ODD The answer to the target question is YES, n+1 IS oddSince we can answer the target question with certainty, statement 2 is SUFFICIENT Answer: D Cheers,
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Re: If n is an integer, is n + 1 odd?
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25 Mar 2019, 08:44
#1 n+2 even ; n has to be even so n+1 is odd sufficient #2 n1 is odd integer ; n = even integer so n+1 is odd; sufficient IMO D Bunuel wrote: The Official Guide for GMAT® Review, 13th Edition  Quantitative Questions ProjectIf n is an integer, is n + 1 odd? (1) n + 2 is an even integer. (2) n 1 is an odd integer. Practice Questions Question: 7 Page: 275 Difficulty: 550 GMAT Club is introducing a new project: The Official Guide for GMAT® Review, 13th Edition  Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you!
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Re: If n is an integer, is n + 1 odd?
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