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If n is an integer, which of the following must be even?

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If n is an integer, which of the following must be even? [#permalink] New post 18 Sep 2012, 02:55
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The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

If n is an integer, which of the following must be even?

(A) n+1
(B) n+2
(C) 2n
(D) 2n +1
(E) n^2

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Page: 158
Difficulty: 550


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Re: If n is an integer, which of the following must be even? [#permalink] New post 18 Sep 2012, 03:16
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ans (C) 2n

n=1 => 2n = 2 =>even
n=2 => 2n = 4 => even
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Re: If n is an integer, which of the following must be even? [#permalink] New post 18 Sep 2012, 05:02
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Answer C

Any integer multiplied by an even number will always yield Even integer.
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Re: If n is an integer, which of the following must be even? [#permalink] New post 18 Sep 2012, 06:18
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Bunuel wrote:

If n is an integer, which of the following must be even?

(A) n+1
(B) n+2
(C) 2n
(D) 2n +1
(E) n^2




Since n is an integer, it can be EVEN or ODD.
But any integer when multiplied by 2 is even.
For example, 3 * 2 = 6 (even)
The rule is: EVEN * ODD = EVEN
EVEN * EVEN = EVEN
ODD * ODD = ODD

A) we cant say as it depends if n is odd or even
B) same as A)
C) Even as n is multiplied by 2
D) It is ODD as EVEN+1 = ODD
E) depends if n is even or odd.

Hence C
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Re: If n is an integer, which of the following must be even? [#permalink] New post 18 Sep 2012, 02:55
SOLUTION

If n is an integer, which of the following must be even?

(A) n+1
(B) n+2
(C) 2n
(D) 2n +1
(E) n^2

ANY integer multiplied by even number yields even result, thus option C must be even.

Answer: C.
_________________

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

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. NEW!!!

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. NEW!!!


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Re: If n is an integer, which of the following must be even? [#permalink] New post 21 Sep 2012, 03:37
SOLUTION

If n is an integer, which of the following must be even?

(A) n+1
(B) n+2
(C) 2n
(D) 2n +1
(E) n^2

ANY integer multiplied by even number yields even result, thus option C must be even.

Answer: C.

Kudos points given to everyone with correct solution. Let me know if I missed someone.
_________________

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

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. NEW!!!

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. NEW!!!


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Re: If n is an integer, which of the following must be even?   [#permalink] 21 Sep 2012, 03:37
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