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This is from the OG quant review problem solving section. I'm not satisfied with the book's explanation... I would appreciate a more detailed explanation. Thanks.

125. 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

I narrowed it down to C or D but don't know how to arrive at the OA. Please explain. Thanks.

Re: Number Properties [#permalink]
10 Sep 2006, 11:55

govinam wrote:

This is from the OG quant review problem solving section. I'm not satisfied with the book's explanation... I would appreciate a more detailed explanation. Thanks.

125. 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

I narrowed it down to C or D but don't know how to arrive at the OA. Please explain. Thanks.

Try plugging numbers, trying for x=0,1,2,3,4,5 we get
y = 2,5,8,11,14,17

Hence we can easily see that 4,5, & 8 are out. Additionally 14 is divisible by 7. Hence answer is C.