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

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If x is an Integer and y=3x+2, then which of the following [#permalink] New post 11 Aug 2007, 14:53
If x is an Integer and y=3x+2, then which of the following CANNOT be a divisor of y?

A. 4
B. 5
C. 6
D. 7
E. 8
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 [#permalink] New post 11 Aug 2007, 15:01
C
I just plugged numbers, there might be better explanation

series comes to a-6, a-3, a, a+3, a+9, a+12 where a=2
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 [#permalink] New post 12 Aug 2007, 18:50
I wonder if this makes sense:

Since y = 3x + 2, we know that dividing y by 3 will give a remainder of 2, hence it is not divisible by 3. Since anything that's divisible by 6 must be divisible by 3 and 2, this rules out 6 as a possible divisor of y.

Thoughts?
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 [#permalink] New post 12 Aug 2007, 20:56
entranced wrote:
I wonder if this makes sense:

Since y = 3x + 2, we know that dividing y by 3 will give a remainder of 2, hence it is not divisible by 3. Since anything that's divisible by 6 must be divisible by 3 and 2, this rules out 6 as a possible divisor of y.

Thoughts?


That logic seems to hold up! I came up with C plugging in numbers myself.
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 [#permalink] New post 13 Aug 2007, 01:42
Much easier/quicker to plug in numbers and do elimination.
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 [#permalink] New post 13 Aug 2007, 01:46
StartupAddict wrote:
Much easier/quicker to plug in numbers and do elimination.


Agreed, but someone was unsure about a better explanation, so I thought I'd try to offer one.
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 [#permalink] New post 13 Aug 2007, 14:23
Actually I don't agree that it's easier to plug in numbers. It makes perfect sense that if a number isn't divisible by 3, it can't be divisible by 6. If I ran into this on the test, I would plug in numbers if I had plenty of time, but if I was pressed for time I'd confidently pick 6.
  [#permalink] 13 Aug 2007, 14:23
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If x is an Integer and y=3x+2, then which of the following

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