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

It is currently 13 Nov 2018, 14:28

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 November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • Essential GMAT Time-Management Hacks

     November 14, 2018

     November 14, 2018

     07:00 PM PST

     08:00 PM PST

    Join the webinar and learn time-management tactics that will guarantee you answer all questions, in all sections, on time. Save your spot today! Nov. 14th at 7 PM PST
  • $450 Tuition Credit & Official CAT Packs FREE

     November 15, 2018

     November 15, 2018

     10:00 PM MST

     11:00 PM MST

    EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299)

A curve is represented by the equation x^2y^3 = k^3

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

Hide Tags

e-GMAT Representative
User avatar
P
Joined: 04 Jan 2015
Posts: 2181
A curve is represented by the equation x^2y^3 = k^3  [#permalink]

Show Tags

New post 27 Aug 2018, 02:35
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

39% (01:09) correct 61% (01:30) wrong based on 93 sessions

HideShow timer Statistics

A curve is represented by the equation \(x^2y^3 = k^3\), where k < 0. At how many points does the line, y = -a, where a is an integer, intersects this curve?

    A. 0
    B. 1
    C. 2
    D. 4
    E. Cannot be determined

To read all our articles: Must read articles to reach Q51

Image

_________________








Register for free sessions
Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Must Read Articles
Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets



| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Intern
Intern
avatar
B
Joined: 13 May 2018
Posts: 6
Location: India
Schools: Darden '21 (S)
GMAT 1: 740 Q51 V39
GRE 1: Q170 V162
GPA: 3.5
Re: A curve is represented by the equation x^2y^3 = k^3  [#permalink]

Show Tags

New post 27 Aug 2018, 03:22
Guess: Since the value of y is always negative, if a is +ve then it cuts the graph at 2 points and if a is -ve then 0 points. Hence cannot be determined.
E??

Posted from my mobile device
VP
VP
User avatar
P
Joined: 09 Mar 2016
Posts: 1060
A curve is represented by the equation x^2y^3 = k^3  [#permalink]

Show Tags

New post 27 Aug 2018, 04:54
1
can someone sketch solution ? :-) its like chinese to me reading only text without visualization :)
Intern
Intern
avatar
B
Joined: 13 May 2018
Posts: 6
Location: India
Schools: Darden '21 (S)
GMAT 1: 740 Q51 V39
GRE 1: Q170 V162
GPA: 3.5
Re: A curve is represented by the equation x^2y^3 = k^3  [#permalink]

Show Tags

New post 27 Aug 2018, 05:10
1
dave13 wrote:
can someone sketch solution ? :-) its like chinese to me reading only text without visualization :)


This graph looks familiar. Oh wait!!!

Posted from my mobile device
Attachments

File comment: My view of the graph. Open to critique.
IMG_20180827_183512075.jpg
IMG_20180827_183512075.jpg [ 879.24 KiB | Viewed 935 times ]

Senior Manager
Senior Manager
User avatar
S
Joined: 07 Oct 2017
Posts: 265
Re: A curve is represented by the equation x^2y^3 = k^3  [#permalink]

Show Tags

New post 27 Aug 2018, 05:18
2
1
EgmatQuantExpert wrote:
A curve is represented by the equation \(x^2y^3 = k^3\), where k < 0. At how many points does the line, y = -a, where a is an integer, intersects this curve?

    A. 0
    B. 1
    C. 2
    D. 4
    E. Cannot be determined

To read all our articles: Must read articles to reach Q51

Image
IMHO answer is E
Attachment:
1535375933597.jpg
1535375933597.jpg [ 56.24 KiB | Viewed 911 times ]


Thank you = Kudos
Attachments

1535375999030.jpg
1535375999030.jpg [ 59.83 KiB | Viewed 913 times ]


_________________

Thank you =Kudos
The best thing in life lies on the other side of the pain.

GMATH Teacher
User avatar
G
Status: GMATH founder
Joined: 12 Oct 2010
Posts: 468
A curve is represented by the equation x^2y^3 = k^3  [#permalink]

Show Tags

New post 27 Aug 2018, 05:19
1
EgmatQuantExpert wrote:
A curve is represented by the equation \(x^2y^3 = k^3\), where k < 0. At how many points does the line, y = -a, where a is an integer, intersects this curve?

    A. 0
    B. 1
    C. 2
    D. 4
    E. Cannot be determined


The correct answer is (E):

\(\left\{ \begin{gathered}
\,{x^2}{y^3} = {k^3}\,\,\,\left( {k < 0} \right) \hfill \\
y = - a\,\,\,\left( {a\,\,\operatorname{int} } \right) \hfill \\
\end{gathered} \right.\,\,\,\,\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\,\,\,{x^2}{\left( { - a} \right)^3} = {k^3}\,\,\,\,\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\,\,\,{x^2} = - {\left( {\frac{k}{a}} \right)^3}\,\,\,\,\,,\,\,\,\,a \ne 0\)

Take (for instance) :

(a,k) = (1,-1) , then we have 2 points (x,y) = (x, -a) of intersection: (-1, -1) and (1, -1)
(a,k) = (-1,-1) , then we have 0 points (x,y) = (x,-a) of intersection, because x^2 = -1 has no solutions (in the real numbers)

The above follows the notations and rationale taught in the GMATH method.
_________________

Fabio Skilnik :: https://www.GMATH.net (Math for the GMAT)
Course release PROMO : finish our test drive till 30/Nov with (at least) 50 correct answers out of 92 (12-questions Mock included) to gain a 50% discount!

Intern
Intern
avatar
B
Joined: 06 Mar 2016
Posts: 3
Location: India
Concentration: Strategy, Finance
GPA: 4
WE: Analyst (Computer Software)
Re: A curve is represented by the equation x^2y^3 = k^3  [#permalink]

Show Tags

New post 27 Aug 2018, 05:29
1
x^2 is acting as magnitude and y^3 goes from +ve infinite to -ve infinite so it will at least cut y=-a one. so answer is B.
Intern
Intern
avatar
B
Joined: 28 Jun 2018
Posts: 46
Re: A curve is represented by the equation x^2y^3 = k^3  [#permalink]

Show Tags

New post 12 Sep 2018, 08:57
Bunuel can you please explain this?
GMAT Club Bot
Re: A curve is represented by the equation x^2y^3 = k^3 &nbs [#permalink] 12 Sep 2018, 08:57
Display posts from previous: Sort by

A curve is represented by the equation x^2y^3 = k^3

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


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®.