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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]  18 Feb 2008, 11:56
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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: PS: Properties of numbers [#permalink]  18 Feb 2008, 12:05
jimmyjamesdonkey 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

C. Since y is 2 more than any multiple of 3, it is 6 that can never be a divisor of y.
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Re: PS: Properties of numbers [#permalink]  18 Feb 2008, 12:10
Correct, I was also trying to look at this by breaking apart the equation...

The OA is explanation is: 3x is always divisible by 3, but 2 is not. But I don't completely understand that...

I know what it is getting at, but 5 isn't divisible by 2 either. What about that?
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Re: PS: Properties of numbers [#permalink]  18 Feb 2008, 12:29
Substituted some values of x and got possible values of y.
y = 5, 8, 11, 14 .....

By looking at the answer choices 6 is the only one that satisfies...

Hence picked C.
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Re: PS: Properties of numbers [#permalink]  19 Feb 2008, 00:34
Picked values of X to obtain a value of Y divisible by answer choices.

6 was the odd man out.
Re: PS: Properties of numbers   [#permalink] 19 Feb 2008, 00:34
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