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

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

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11 Aug 2007, 15:53
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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
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11 Aug 2007, 16:01
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
Intern
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12 Aug 2007, 19:50
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?
Director
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12 Aug 2007, 21:56
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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13 Aug 2007, 02:42
Much easier/quicker to plug in numbers and do elimination.
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13 Aug 2007, 02:46
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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13 Aug 2007, 15:23
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.
13 Aug 2007, 15:23
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