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

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Manager
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If n is an integer, which of the following CANNOT be a [#permalink]

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05 Oct 2006, 12:04
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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
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05 Oct 2006, 13:15
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

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Manager
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05 Oct 2006, 13:40
Plugging values.For n=20 , we get 64. And 8 is a factor of 64.Hence I beleive the answer is 6- (C).
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05 Oct 2006, 13:55
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
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05 Oct 2006, 14:15
U wont believe that i solved the same post correctly before ..........so i believe i need to sleep.sorry answer is 6 .
VP
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06 Oct 2006, 02:12
Agreed C. All the others are divisible by plugging in numbers,
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06 Oct 2006, 07:41
Yes - one moe for C

3(4)+4 is a multiple o 8 so E is out.
06 Oct 2006, 07:41
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