GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 14 Dec 2018, 21:32

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
Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Typical Day of a UCLA MBA Student - Recording of Webinar with UCLA Adcom and Student

     December 14, 2018

     December 14, 2018

     10:00 PM PST

     11:00 PM PST

    Carolyn and Brett - nicely explained what is the typical day of a UCLA student. I am posting below recording of the webinar for those who could't attend this session.
  • Free GMAT Strategy Webinar

     December 15, 2018

     December 15, 2018

     07:00 AM PST

     09:00 AM PST

    Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

Out of all the points on line 3x + 2y = 6, where x & y are integers

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Manager
Manager
avatar
G
Joined: 08 Apr 2017
Posts: 79
Out of all the points on line 3x + 2y = 6, where x & y are integers  [#permalink]

Show Tags

New post 29 May 2018, 17:24
5
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

62% (03:06) correct 38% (02:30) wrong based on 55 sessions

HideShow timer Statistics

Out of all the points on line 3x + 2y = 6, where x & y are integers and |y|<12. What is the probability |x| = |y|?

A. \(\frac{1}{3}\)

B. \(\frac{1}{7}\)

C. \(\frac{2}{7}\)

D. \(\frac{1}{2}\)

E. \(\frac{2}{3}\)
Manager
Manager
User avatar
S
Joined: 28 Nov 2017
Posts: 145
Location: Uzbekistan
Premium Member
Re: Out of all the points on line 3x + 2y = 6, where x & y are integers  [#permalink]

Show Tags

New post 29 May 2018, 20:43
1
1
GMATSkilled wrote:
Out of all the points on line 3x + 2y = 6, where x & y are integers and |y|<12. What is the probability |x| = |y|?

A. \(\frac{1}{3}\)

B. \(\frac{1}{7}\)

C. \(\frac{2}{7}\)

D. \(\frac{1}{2}\)

E. \(\frac{2}{3}\)


\(3x=-2y+6\),
\(x=-\frac{2}{3}y+2\).
If \(x\) and \(y\) are integers, then \(y\) must be divisible by \(3\), and also \(-12<y<12\). Thus \(y=-9,-6,-3,0,3,6,9\).

Respective values of \(x\) are: \(8,6,4,2,0,-2,-4\).

So, only option out of \(7\), where \(|x|=|y|\) is \((6,-6)\).

Hence \(P=\frac{1}{7}\)

Answer: B
_________________

Kindest Regards!
Tulkin.

Manager
Manager
avatar
B
Joined: 08 Sep 2016
Posts: 115
Re: Out of all the points on line 3x + 2y = 6, where x & y are integers  [#permalink]

Show Tags

New post 30 May 2018, 15:06
Why wouldn't 0 be conisdered for this question? Although |0| = 0, isn't it also equal to |0|?
Manager
Manager
User avatar
S
Joined: 28 Nov 2017
Posts: 145
Location: Uzbekistan
Premium Member
Re: Out of all the points on line 3x + 2y = 6, where x & y are integers  [#permalink]

Show Tags

New post 30 May 2018, 20:13
1
hdavies wrote:
Why wouldn't 0 be conisdered for this question? Although |0| = 0, isn't it also equal to |0|?


Point \((0,0)\) cannot meet the condition \(3x + 2y = 6\).

Hope this helps!
_________________

Kindest Regards!
Tulkin.

Senior Manager
Senior Manager
User avatar
G
Joined: 17 Jan 2017
Posts: 300
Location: India
GPA: 4
WE: Information Technology (Computer Software)
Premium Member CAT Tests
Re: Out of all the points on line 3x + 2y = 6, where x & y are integers  [#permalink]

Show Tags

New post 03 Aug 2018, 11:13
I chose the least probability i.e., 1/7 without any calculation.

3x+2y=6 can't have many solutions when x=y. Hence the probability will be very very low.

A technique to guess when you don't have time

Posted from my mobile device
_________________

Only those who risk going too far, can possibly find out how far one can go

GMAT Club Bot
Re: Out of all the points on line 3x + 2y = 6, where x & y are integers &nbs [#permalink] 03 Aug 2018, 11:13
Display posts from previous: Sort by

Out of all the points on line 3x + 2y = 6, where x & y are integers

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


cron
Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.