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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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Re: If x is an iteger and y=3x+2, which of the following CANNOT [#permalink]
08 Feb 2013, 05:19

2

This post received KUDOS

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]
08 Feb 2013, 05:23

Expert's post

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.

Re: If x is an iteger and y=3x+2, which of the following CANNOT [#permalink]
08 Feb 2013, 08:00

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...