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

It is currently 21 Feb 2019, 21:02

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 February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
  • Online GMAT boot camp for FREE

     February 21, 2019

     February 21, 2019

     10:00 PM PST

     11:00 PM PST

    Kick off your 2019 GMAT prep with a free 7-day boot camp that includes free online lessons, webinars, and a full GMAT course access. Limited for the first 99 registrants! Feb. 21st until the 27th.
  • Free GMAT RC Webinar

     February 23, 2019

     February 23, 2019

     07:00 AM PST

     09:00 AM PST

    Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT

If x^(1/2) is an integer and xy^2 = 36, how many values are possible

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

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 53065
If x^(1/2) is an integer and xy^2 = 36, how many values are possible  [#permalink]

Show Tags

New post 30 Aug 2018, 23:06
00:00
A
B
C
D
E

Difficulty:

  85% (hard)

Question Stats:

39% (01:32) correct 61% (01:35) wrong based on 116 sessions

HideShow timer Statistics

Director
Director
User avatar
P
Joined: 18 Jul 2018
Posts: 676
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Premium Member Reviews Badge CAT Tests
Re: If x^(1/2) is an integer and xy^2 = 36, how many values are possible  [#permalink]

Show Tags

New post 30 Aug 2018, 23:12
If sqrt(x) is an intger, then x can take values
X = 1,4,9.

Then xy^2 = 36.

Y can take +-3, +-2, +-6.

Y can take 6 values

D is the answer.

Posted from my mobile device
_________________

Press +1 Kudo If my post helps!

Intern
Intern
avatar
B
Joined: 04 Oct 2017
Posts: 9
Re: If x^(1/2) is an integer and xy^2 = 36, how many values are possible  [#permalink]

Show Tags

New post 30 Aug 2018, 23:18
Since both x and y are integers ...answer should be D

Posted from my mobile device
Director
Director
User avatar
P
Status: Learning stage
Joined: 01 Oct 2017
Posts: 958
WE: Supply Chain Management (Energy and Utilities)
Premium Member
Re: If x^(1/2) is an integer and xy^2 = 36, how many values are possible  [#permalink]

Show Tags

New post 30 Aug 2018, 23:58
1
Bunuel wrote:
If \(\sqrt{x}\) is an integer and \(xy^2 = 36\), how many values are possible for the integer y?

(A) Two
(B) Three
(C) Four
(D) Six
(E) Eight


+1 for (E).

Given,\(xy^2 = 36\)
Since x is a perfect square , so it could be : 1, 4, 9 and 36
So, \(y^2\): 36,9,4 and 1
hence, possible values of y:+6,-6,+3,-3,+2,-2,+1,-1 (both faces of polarities)

SO, 8 values are possible for the integer y.
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Retired Moderator
User avatar
V
Status: Preparing for GMAT
Joined: 25 Nov 2015
Posts: 989
Location: India
GPA: 3.64
GMAT ToolKit User Premium Member Reviews Badge CAT Tests
Re: If x^(1/2) is an integer and xy^2 = 36, how many values are possible  [#permalink]

Show Tags

New post 31 Aug 2018, 00:47
Bunuel wrote:
If \(\sqrt{x}\) is an integer and \(xy^2 = 36\), how many values are possible for the integer y?

(A) Two
(B) Three
(C) Four
(D) Six
(E) Eight


The possible factors of 36 are 1x36;2x18;3x12;4x9;6x6
Since \(\sqrt{x}\) is an integer, x can be 1, 4 ,9, 36
Possible values of y corresponding to x : ±6, ±3, ±2, ±1
8 values are possible.
Answer E.
_________________

Please give kudos, if you like my post

When the going gets tough, the tough gets going...

Manager
Manager
User avatar
G
Joined: 07 Aug 2018
Posts: 110
Location: United States (MA)
GMAT 1: 560 Q39 V28
GMAT 2: 670 Q48 V34
Re: If x^(1/2) is an integer and xy^2 = 36, how many values are possible  [#permalink]

Show Tags

New post 03 Sep 2018, 02:19
x has to be a perfect square, so possible values for x: 1,4,9,25,36 (No need to consider negative values, since y will always be positive!)

Also consider negative values for y, since y is squared!

1*y^2= 36 --> y=+-6
4*y^2= 36 --> y=+-3
9*y^2= 36 --> y=+-2
36*y^2-36 --> y=+-1

So a total of 8 possible values for y. (E)
_________________

Quantitative Megathread:https://gmatclub.com/forum/ultimate-gmat-quantitative-megathread-244512.html
Verbal Megathread:https://gmatclub.com/forum/all-you-need-for-gmat-verbal-164070.html
Flashcards Quant + Verbal:https://gmatclub.com/forum/gmat-flashcards-108651.html
Thursdays with Ron:https://gmatclub.com/forum/manhattan-s-thursdays-with-ron-consolidated-video-index-223612.html#p2138753

Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4955
Location: United States (CA)
Re: If x^(1/2) is an integer and xy^2 = 36, how many values are possible  [#permalink]

Show Tags

New post 04 Sep 2018, 11:23
Bunuel wrote:
If \(\sqrt{x}\) is an integer and \(xy^2 = 36\), how many values are possible for the integer y?

(A) Two
(B) Three
(C) Four
(D) Six
(E) Eight


Since √x is an integer and xy^2 = 36, x must be a perfect square. So x could be 1, 4, 9, or 36.

When x is 1, y^2 = 36. So y could be 6 or -6.

When x is 4, y^2 = 9. So y could be 3 or -3.

When x is 9, y^2 = 4. So y could be 2 or -2.

When x is 36, y^2 =1. So y could be 1 or -1.

Answer: E
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

GMAT Club Bot
Re: If x^(1/2) is an integer and xy^2 = 36, how many values are possible   [#permalink] 04 Sep 2018, 11:23
Display posts from previous: Sort by

If x^(1/2) is an integer and xy^2 = 36, how many values are possible

  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®.