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

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Manager
Joined: 03 Apr 2007
Posts: 55
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If x is an Integer and y=3x+2, then which of the following [#permalink]  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
Intern
Joined: 12 May 2007
Posts: 29
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Kudos [?]: 3 [0], given: 0

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
Intern
Joined: 10 Aug 2007
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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?
Director
Joined: 12 Jul 2007
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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.
Director
Joined: 31 Mar 2007
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Much easier/quicker to plug in numbers and do elimination.
Intern
Joined: 10 Aug 2007
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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.
Manager
Joined: 27 May 2007
Posts: 128
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Kudos [?]: 4 [0], given: 0

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.
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