Last visit was: 20 Jul 2024, 20:48 It is currently 20 Jul 2024, 20:48
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Close
Request Expert Reply
Confirm Cancel
SORT BY:
Date
Tags:
Difficulty: Sub 505 Level,   Algebra,   Coordinate Geometry,                     
Show Tags
Hide Tags
User avatar
Manager
Manager
Joined: 15 Apr 2011
Posts: 56
Own Kudos [?]: 96 [77]
Given Kudos: 45
Send PM
Most Helpful Reply
Math Expert
Joined: 02 Sep 2009
Posts: 94433
Own Kudos [?]: 642583 [43]
Given Kudos: 86715
Send PM
User avatar
Manager
Manager
Joined: 11 Jan 2014
Posts: 78
Own Kudos [?]: 413 [14]
Given Kudos: 11
Concentration: Finance, Statistics
GMAT Date: 03-04-2014
GPA: 3.77
WE:Analyst (Retail Banking)
Send PM
General Discussion
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 19175
Own Kudos [?]: 22684 [4]
Given Kudos: 286
Location: United States (CA)
Send PM
Re: Which of the following lines in the xy-plane does not contai [#permalink]
2
Kudos
2
Bookmarks
Expert Reply
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

Which of the following lines in the xy-plane does not contain any point with integers as both coordinates?

(A) y = x
(B) y = x + 1/2
(C) y = x + 5
(D) y = x*1/2
(E) y = x/2 + 5


We see that the point (1,1) is on the line y = x (answer choice A); (1, 6) on y = x + 5 (C); (2, 1) on y = x*1/2 (D); and (2, 6) on y = x/2 + 5 (E). Thus, the only line that won’t have any point with integers as both coordinates is y = x + 1/2 (answer choice B). The reason is simple: if x is an integer, then y can’t be an integer, since the sum of an integer and 1/2 will never be an integer. Similarly, if y is an integer, then x can’t be an integer, since the difference of an integer and 1/2 (notice that x = y - 1/2) can never be an integer.

Answer: B
Intern
Intern
Joined: 15 Dec 2022
Posts: 42
Own Kudos [?]: 16 [0]
Given Kudos: 42
Location: Canada
GMAT 1: 660 Q43 V38
Send PM
Re: Which of the following lines in the xy-plane does not [#permalink]
Can y or x be integers?
Math Expert
Joined: 02 Sep 2009
Posts: 94433
Own Kudos [?]: 642583 [1]
Given Kudos: 86715
Send PM
Re: Which of the following lines in the xy-plane does not [#permalink]
1
Kudos
Expert Reply
yalembagrad wrote:
Can y or x be integers?


Line y = x + 1/2 contains points with integers as one of the coordinates but not both. For example, the line contains points (1, 1.5) and (2.5, 3) but it does not contain any point with (integer, integer).
User avatar
Non-Human User
Joined: 09 Sep 2013
Posts: 34041
Own Kudos [?]: 853 [0]
Given Kudos: 0
Send PM
Re: Which of the following lines in the xy-plane does not [#permalink]
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
Re: Which of the following lines in the xy-plane does not [#permalink]
Moderator:
Math Expert
94433 posts