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# If n is an integer, which of the following CANNOT be a

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Manager
Joined: 05 Jul 2006
Posts: 198
Followers: 1

Kudos [?]: 20 [0], given: 0

If n is an integer, which of the following CANNOT be a [#permalink]  05 Oct 2006, 12:04
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Question Stats:

0% (00:00) correct 100% (00:33) wrong based on 2 sessions
If n is an integer, which of the following CANNOT be a factor of 3n + 4 ?

(A) 4
(B) 5
(C) 6
(D) 7
(E) 8
SVP
Joined: 05 Jul 2006
Posts: 1519
Followers: 5

Kudos [?]: 115 [0], given: 39

If n is an integer, which of the following CANNOT be a factor of 3n + 4 ?

(A) 4
(B) 5
(C) 6
(D) 7
(E) 8

f(n) = 3N+4

assume n = 0,1,2,3,4,

f(n) belongs to { 4,7,10,13} arithmatic sequence with a difference of 3

my answer is thus 8 E

]
Manager
Joined: 31 Aug 2006
Posts: 213
Followers: 1

Kudos [?]: 2 [0], given: 0

Plugging values.For n=20 , we get 64. And 8 is a factor of 64.Hence I beleive the answer is 6- (C).
GMAT Instructor
Joined: 04 Jul 2006
Posts: 1269
Followers: 23

Kudos [?]: 158 [0], given: 0

3n+4=3(n+1)+1, so when 3n+4 is divided by 3, the remainder is 1.

Thus 3n+4 is not a multiple of 3.
SVP
Joined: 05 Jul 2006
Posts: 1519
Followers: 5

Kudos [?]: 115 [0], given: 39

U wont believe that i solved the same post correctly before ..........so i believe i need to sleep.sorry answer is 6 .
VP
Joined: 29 Apr 2003
Posts: 1405
Followers: 2

Kudos [?]: 18 [0], given: 0

Agreed C. All the others are divisible by plugging in numbers,
Senior Manager
Joined: 13 Sep 2006
Posts: 282
Location: New York
Followers: 1

Kudos [?]: 8 [0], given: 0

Yes - one moe for C

3(4)+4 is a multiple o 8 so E is out.
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