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# If x is an integer and y=4x+3, which of the following cannot be a divi

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Current Student
Joined: 17 Jan 2016
Posts: 19
Location: Russian Federation
GMAT 1: 730 Q50 V38
GMAT 2: 750 Q49 V44
GPA: 3.3
If x is an integer and y=4x+3, which of the following cannot be a divi [#permalink]

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09 Apr 2016, 09:07
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Difficulty:

15% (low)

Question Stats:

86% (01:09) correct 14% (01:20) wrong based on 36 sessions

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If x is an integer and $$y=4x+3$$, which of the following cannot be a divisor of y?
(A) 5
(B) 6
(C) 7
(D) 9
(E) 23
[Reveal] Spoiler: OA
Current Student
Joined: 17 Jan 2016
Posts: 19
Location: Russian Federation
GMAT 1: 730 Q50 V38
GMAT 2: 750 Q49 V44
GPA: 3.3
If x is an integer and y=4x+3, which of the following cannot be a divi [#permalink]

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09 Apr 2016, 09:10
I understand that in this particular case y is always odd, so the only even divisor is obviously an answer, but is there a way how to check that any given number is a divisor of some other number $$y = qx+r$$?
If x is an integer and y=4x+3, which of the following cannot be a divi   [#permalink] 09 Apr 2016, 09:10
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