NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 08:34 It is currently 26 Apr 2024, 08:34
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

Which of the following lines in the xy-plane does not

SORT BY:
Date
Kudos
Tags:
Difficulty: Sub 505 Levelx   Algebrax   Coordinate Geometryx                     
Find Similar Topics 
Show Tags
Hide Tags
User avatar
mymbadreamz
Manager
Manager
Joined: 15 Apr 2011
Posts: 56
Own Kudos [?]: 95 [76]
Given Kudos: 45
Send PM
Reviews Badge
Which of the following lines in the xy-plane does not [#permalink] New post   Updated on: 01 Jul 2018, 23:18
10
Kudos
66
Bookmarks
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

82% (00:55) correct 18% (01:13) wrong based on 1765 sessions
Hide Show timer Statistics
Which of the following lines in the xy-plane does not contain any point with integers as both coordinates?

A. \(y=x\)

B. \(y=x+\frac{1}{2}\)

C. \(Y=x+5\)

D. \(y=\frac{1}{2}*x\)

E. \(y=\frac{1}{2}*x +5\)
ShowHide Answer
Official Answer
B

Originally posted by mymbadreamz on 31 Mar 2012, 05:43.
Last edited by adkikani on 01 Jul 2018, 23:18, edited 2 times in total.
Formating
Most Helpful Reply
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92945
Own Kudos [?]: 619184 [43]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
Which of the following lines in the xy-plane does not [#permalink] New post   07 Feb 2014, 05:47
5
Kudos
38
Bookmarks
Expert Reply
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

The answer is y=x+1/2, since for any integer value of x, y becomes integer and a half: .

Answer: B.
User avatar
Abdul29
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
Re: Which of the following lines in the xy-plane does not contai [#permalink] New post   07 Feb 2014, 12:52
7
Kudos
7
Bookmarks
(A) y = x: Solving for x & y intercepts, we get (0, 0) Integer
(B) y = x + 1/2: Solving for x & y intercepts, we get (-1/2, 1/2) Non-Integer (Correct)
(C) y = x + 5: Solving for x & y intercepts, we get (-5, 5) Integer
(D) y = x*1/2: Solving for x & y intercepts, we get (0, 0) Integer
(E) y = x/2 + 5: Solving for x & y intercepts, we get (-10, 5) Integer
General Discussion
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18761
Own Kudos [?]: 22056 [4]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: Which of the following lines in the xy-plane does not contai [#permalink] New post   14 Aug 2017, 15:22
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
User avatar
B
yalembagrad
Intern
Intern
Joined: 15 Dec 2022
Posts: 43
Own Kudos [?]: 15 [0]
Given Kudos: 42
Location: Canada
Schools: Fuqua '25 (WL) Darden '25 (A)
GMAT 1: 660 Q43 V38
Send PM
Re: Which of the following lines in the xy-plane does not [#permalink] New post   29 Jan 2023, 14:03
Can y or x be integers?
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92945
Own Kudos [?]: 619184 [0]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
Re: Which of the following lines in the xy-plane does not [#permalink] New post   30 Jan 2023, 00:01
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
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32685
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: Which of the following lines in the xy-plane does not [#permalink] New post   12 Feb 2024, 01:43
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
gmatclubot
Re: Which of the following lines in the xy-plane does not [#permalink]
12 Feb 2024, 01:43
Moderators:
Bunuel
Math Expert
92940 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions