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If x is an integer and y = 3x + 2, which of the following

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If x is an integer and y = 3x + 2, which of the following [#permalink] New post 10 Mar 2011, 07:48
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If x is an integer and y = 3x + 2, which of the following CANNOT be a divisor of y?

A. 4
B. 5
C. 6
D. 7
E. 8
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Re: Divisibility [#permalink] New post 10 Mar 2011, 07:53
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Re: Divisibility [#permalink] New post 10 Mar 2011, 18:07
Nice explanation.

Bunuel wrote:
Baten80 wrote:
If x is an integer and y=3x+2, which of the following CANNOT be a divisor of y?

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


y is not multiple of 3, actually it's 2 more than multiple of 3. So if y is not a multiple of 3 it cannot be the multiple of 6 as well.

Answer: C.
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Re: Divisibility [#permalink] New post 10 Mar 2011, 20:36
Just to add some more to Bunuel's explanation, if a number is a multiple of 3, it will be in a form:

n = 3*k, where k is an integer

And if a number is a multiple of 6, it will be in a form :

m = 6*l, where l is an integer

so m = 2 * 3 * l = (2*l) * 3 = 3 * p, where p is an integer.

In other words, the prime factorization of m must have 3 as a factor, if it's a multiple of 6, but the expression can't have that (as explained by Bunuel), so it can't be a multiple of 6 either.
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If x is an iteger and y=3x+2, which of the following CANNOT [#permalink] New post 08 Feb 2013, 05:43
I couldn't find the answer to this question. I would appreciate if someone explains it.

If x is an iteger and y=3x+2, which of the following CANNOT be a divisor of y?
A) 4
B) 5
C) 6
D) 7
E) 8
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Re: If x is an iteger and y=3x+2, which of the following CANNOT [#permalink] New post 08 Feb 2013, 05:55
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Stiv wrote:
I couldn't find the answer to this question. I would appreciate if someone explains it.

If x is an iteger and y=3x+2, which of the following CANNOT be a divisor of y?
A) 4
B) 5
C) 6
D) 7
E) 8


If x=1, y=5
x=2, y=8
x=3, y=11
x=4, y=14
x=5, y=17
x=6, y=20 etc

Only 6 is a number that is not the factor of y. Other than 6, all others are factors of y.
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Re: If x is an iteger and y=3x+2, which of the following CANNOT [#permalink] New post 08 Feb 2013, 06:19
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Stiv wrote:
I couldn't find the answer to this question. I would appreciate if someone explains it.

If x is an iteger and y=3x+2, which of the following CANNOT be a divisor of y?
A) 4
B) 5
C) 6
D) 7
E) 8

Y=3x+2 means that y is not divisible by 3 thus y can not be divisible by any multiple of 3. Among answer choices only 6 is a multiple of 3 and hence the answer.
C it is.
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Re: If x is an iteger and y=3x+2, which of the following CANNOT [#permalink] New post 08 Feb 2013, 06:23
Vips0000 wrote:
Stiv wrote:
I couldn't find the answer to this question. I would appreciate if someone explains it.

If x is an iteger and y=3x+2, which of the following CANNOT be a divisor of y?
A) 4
B) 5
C) 6
D) 7
E) 8

Y=3x+2 means that y is not divisible by 3 thus y can not be divisible by any multiple of 3. Among answer choices only 6 is a multiple of 3 and hence the answer.
C it is.

Great explanation as usual. +1
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Re: If x is an iteger and y=3x+2, which of the following CANNOT [#permalink] New post 08 Feb 2013, 09:00
Stiv wrote:
I couldn't find the answer to this question. I would appreciate if someone explains it.

If x is an iteger and y=3x+2, which of the following CANNOT be a divisor of y?
A) 4
B) 5
C) 6
D) 7
E) 8



y= 3x+2...that means y can not be divisible by 3 and further it also can't be divided by any multiple of 3....in the answer options 6 is the only multiple of 3...so the answer is 6...
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Re: If x is an iteger and y=3x+2, which of the following CANNOT [#permalink] New post 09 Feb 2013, 02:38
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Re: If x is an integer and y = 3x + 2, which of the following [#permalink] New post 16 Feb 2013, 09:03
not easy at all

I pick the number and get c but it is too time consuming
Re: If x is an integer and y = 3x + 2, which of the following   [#permalink] 16 Feb 2013, 09:03
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