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Math Expert V
Joined: 02 Sep 2009
Posts: 58427
If x is an integer and y = 4x + 3, which of the following cannot be a  [#permalink]

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Question Stats: 76% (01:36) correct 24% (01:32) wrong based on 88 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

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Senior Manager  S
Joined: 07 Oct 2017
Posts: 253
Re: If x is an integer and y = 4x + 3, which of the following cannot be a  [#permalink]

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Bunuel wrote:
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
4x+3 =y
This implies y will always be an odd number. This means 6 can never be a divisor of y

Imo, it is B

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Manager  S
Joined: 06 Nov 2016
Posts: 58
Location: Viet Nam
Concentration: Strategy, International Business
GPA: 3.54
Re: If x is an integer and y = 4x + 3, which of the following cannot be a  [#permalink]

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Bunuel wrote:
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

Here is my approach.
x is an integer --> 4x is an even integer --> 4x+3 is an odd integer.
Odd integer can't be divisible by 6 --> y can't be divisible by 6.

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Rice (Jones) School Moderator P
Joined: 18 Jun 2018
Posts: 297
Location: United States (AZ)
Concentration: Finance, Healthcare
GMAT 1: 600 Q44 V28 GPA: 3.36
If x is an integer and y = 4x + 3, which of the following cannot be a  [#permalink]

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y= 4x + 3 so it could be 3,7,11,15,19,23,27,31,35, ... so Option B cannot divide any of this numbers w/o a remainder.

Bunuel wrote:
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
VP  D
Joined: 31 Oct 2013
Posts: 1465
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If x is an integer and y = 4x + 3, which of the following cannot be a  [#permalink]

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Bunuel wrote:
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

y = 4x + 3

y = 4x + 2 + 1

y = 2(x+) + 1

2(x + 1 ) = always be even and if we add 1 we get odd number finally.

An odd number can never ever be divisible by even. So , 6 is our answer.

The best answer is B.
Rice (Jones) School Moderator P
Joined: 18 Jun 2018
Posts: 297
Location: United States (AZ)
Concentration: Finance, Healthcare
GMAT 1: 600 Q44 V28 GPA: 3.36
If x is an integer and y = 4x + 3, which of the following cannot be a  [#permalink]

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Bunuel I know how to solve this question but say I was on a time crunch in the real exam and I got this question, is it okay to just guess the answer is B since it is the odd one out (i.e. it is the only even number). I doubt GMAC will make it this obvious though.

Bunuel wrote:
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
Target Test Prep Representative G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2815
Re: If x is an integer and y = 4x + 3, which of the following cannot be a  [#permalink]

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Bunuel wrote:
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

If we plug in successive integer values for x, starting with x = 0, we see that y must be values such as 3, 7, 11, 15, 19, 23, 27, etc.

Since y cannot be even, 6 cannot be a divisor of y.

Alternate Solution:

We see that y must be an odd number since 4x + 3 = even + odd = odd. Thus, the even number 6 can never divide y.

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Director  P
Joined: 24 Nov 2016
Posts: 636
Location: United States
Re: If x is an integer and y = 4x + 3, which of the following cannot be a  [#permalink]

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Bunuel wrote:
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

find not≠factor(y) if y=4x+3 and x=z (an integer)

y = multiple of 4 + 3 or,
y = even + odd = odd

Answer (B): the only even.
VP  P
Joined: 07 Dec 2014
Posts: 1224
Re: If x is an integer and y = 4x + 3, which of the following cannot be a  [#permalink]

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Bunuel wrote:
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

x=(y-3)/4
if x is an integer, then y=7, 11, 15, 19, 23, 27...odd
only even choice is 6
B Re: If x is an integer and y = 4x + 3, which of the following cannot be a   [#permalink] 06 Jul 2019, 23:20
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