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If n is an integer, is n + 1 odd?

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If n is an integer, is n + 1 odd? [#permalink] New post 30 Jul 2012, 01:15
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A
B
C
D
E

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82% (01:30) correct 18% (00:28) wrong based on 287 sessions
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

If 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


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Re: If n is an integer, is n + 1 odd? [#permalink] New post 30 Jul 2012, 01:16
Expert's post
SOLUTION

If 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=even-2=even. Sufficient.
(2) n -1 is an odd integer --> n-1=odd --> n=odd+1=even. Sufficient.

Answer: D.
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COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: If n is an integer, is n + 1 odd? [#permalink] New post 30 Jul 2012, 19:58
A. N, N+1, N+2. If N+2 is even, then N+1 is odd
Sufficient

B. N-1, N, N+1. If N-1 is odd, then N+1 is odd.
Sufficient

[Reveal] Spoiler:
D
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Re: If n is an integer, is n + 1 odd? [#permalink] New post 03 Aug 2012, 04:05
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? [#permalink] New post 03 Aug 2012, 04:46
Expert's post
SOLUTION

If 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=even-2=even. Sufficient.
(2) n -1 is an odd integer --> n-1=odd --> n=odd+1=even. Sufficient.

Answer: D.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: If n is an integer, is n + 1 odd?   [#permalink] 03 Aug 2012, 04:46
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