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

It is currently 18 Apr 2019, 09:46

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

S is a set of positive integers such that if integer x is a member of

  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: 54369
S is a set of positive integers such that if integer x is a member of  [#permalink]

Show Tags

New post 11 Aug 2017, 03:35
1
1
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

42% (01:58) correct 58% (01:53) wrong based on 109 sessions

HideShow timer Statistics

S is a set of positive integers such that if integer x is a member of S, then both x^2 and x^3 are also in S. If the only member of S that is neither the square nor the cube of another member of S is called the source integer, is 8 in S?

(1) 4 is in S and is not the source integer.

(2) 64 is in S and is not the source integer.

_________________
Manager
Manager
avatar
B
Joined: 02 Nov 2015
Posts: 163
GMAT 1: 640 Q49 V29
Re: S is a set of positive integers such that if integer x is a member of  [#permalink]

Show Tags

New post 11 Aug 2017, 09:07
1
Statement 1: if 4 is there and it's not a source , then it must be square of 2, which is the source in this case. Thus cube of 2 i.e 8 is lap there.
Sufficient.

Statement 2: if 64 is tee and it's not the source, then either it can be 8,64 and 8^3

Or it can be 4,16 and 64.

Not sufficient.

Thus A is the answer.

Sent from my Lenovo TAB S8-50LC using GMAT Club Forum mobile app
Manager
Manager
avatar
S
Joined: 06 Jul 2014
Posts: 94
Location: India
Concentration: Finance, Entrepreneurship
GMAT 1: 660 Q48 V32
GMAT ToolKit User Reviews Badge
Re: S is a set of positive integers such that if integer x is a member of  [#permalink]

Show Tags

New post 11 Aug 2017, 09:19
The answer should be A. If 4 is in S and is not the source integer then 2 has to be in the set. If 2 is in the set then 2^3 has to be in the set.
2nd statement isn't sufficient because if 64 is in the set then either 4 or 8 can be in the set. If 4 is in the set then 8 will not be. Giving both yes and no.
Manager
Manager
avatar
B
Status: Turning my handicaps into assets
Joined: 09 Apr 2017
Posts: 128
CAT Tests
Re: S is a set of positive integers such that if integer x is a member of  [#permalink]

Show Tags

New post 10 Sep 2017, 09:23
Bunuel, can you please elaborate 2nd statement?

I think if 64 is not a source integer, then 8 or 4 is in S. So 8 is in S.Sufficient. What I am missing here?
_________________
If time was on my side, I'd still have none to waste......
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 54369
Re: S is a set of positive integers such that if integer x is a member of  [#permalink]

Show Tags

New post 11 Sep 2017, 01:31
Mehemmed wrote:
Bunuel, can you please elaborate 2nd statement?

I think if 64 is not a source integer, then 8 or 4 is in S. So 8 is in S.Sufficient. What I am missing here?


You said it your self either 4 OR 8 is in S. If 4 is the source integer (64 = 4^3), then 8 is NOT in the set but if 8 is the source integer (64 = 8^2), then 8 IS in the set. Two differen answers, hence insufficient.
_________________
Director
Director
User avatar
D
Affiliations: IIT Dhanbad
Joined: 13 Mar 2017
Posts: 718
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: S is a set of positive integers such that if integer x is a member of  [#permalink]

Show Tags

New post 11 Sep 2017, 03:44
Bunuel wrote:
S is a set of positive integers such that if integer x is a member of S, then both x^2 and x^3 are also in S. If the only member of S that is neither the square nor the cube of another member of S is called the source integer, is 8 in S?

(1) 4 is in S and is not the source integer.

(2) 64 is in S and is not the source integer.


Given : S is a set of positive integers such that if integer x is a member of S, then both x^2 and x^3 are also in S.
DS : is 8 in S?

Statement 1 : 4 is in S and is not the source integer. i.e. 2^2 is there. So, 2^3 i.e. 8 will also be there.
SUFFICIENT

Statement 2: 64 is in S and is not the source integer. i.e. 4^3 is there . 4^2 and 4 will also be there. But we can't say anything about 8.
NOT SUFFICIENT


Answer A

_________________
CAT 2017 (98.95) & 2018 (98.91) : 99th percentiler
UPSC Aspirants : Get my app UPSC Important News Reader from Play store.

MBA Social Network : WebMaggu


Appreciate by Clicking +1 Kudos ( Lets be more generous friends.)



What I believe is : "Nothing is Impossible, Even Impossible says I'm Possible" : "Stay Hungry, Stay Foolish".
Manager
Manager
avatar
B
Status: Turning my handicaps into assets
Joined: 09 Apr 2017
Posts: 128
CAT Tests
Re: S is a set of positive integers such that if integer x is a member of  [#permalink]

Show Tags

New post 11 Sep 2017, 09:01
Bunuel wrote:
Mehemmed wrote:
Bunuel, can you please elaborate 2nd statement?

I think if 64 is not a source integer, then 8 or 4 is in S. So 8 is in S.Sufficient. What I am missing here?


You said it your self either 4 OR 8 is in S. If 4 is the source integer (64 = 4^3), then 8 is NOT in the set but if 8 is the source integer (64 = 8^2), then 8 IS in the set. Two differen answers, hence insufficient.



Thank you for your answer:)
_________________
If time was on my side, I'd still have none to waste......
GMAT Club Bot
Re: S is a set of positive integers such that if integer x is a member of   [#permalink] 11 Sep 2017, 09:01
Display posts from previous: Sort by

S is a set of positive integers such that if integer x is a member of

  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®.