GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video
close
It is currently 08 May 2021, 06:29
Register
GMAT Club Tests
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
If x is a positive integer greater than 1, what is the value of x?
13 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
Tags:
Find Similar Topics 

Show Tags
Hide Tags

User avatar
V
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 74519
CAT Tests Top Member of the Month
If x is a positive integer greater than 1, what is the value of x? [#permalink] New post  19 Jul 2016, 11:00
4
Kudos
65
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

72% (01:26) correct 28% (01:28) wrong based on 2777 sessions

Hide Show timer Statistics

If x is a positive integer greater than 1, what is the value of x?

(1) 2x is a common factor of 18 and 24
(2) x is a factor of 6
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

_________________
New to the GMAT CLUB Forum?
Posting Rules: QUANTITATIVE | VERBAL. Guides and Resources: QUANTITATIVE | VERBAL | Ultimate GMAT Quantitative Megathread | All You Need for Quant

Questions' Banks and Collection:
PS: Standard deviation | Tough Problem Solving Questions With Solutions | Probability and Combinations Questions With Solutions | Tough and tricky exponents and roots questions | 12 Easy Pieces (or not?) | Bakers' Dozen | Algebra set | Mixed Questions | Fresh Meat
DS: DS Standard deviation | Inequalities | 700+ GMAT Data Sufficiency Questions With Explanations | Tough and tricky exponents and roots questions | The Discreet Charm of the DS | Devil's Dozen!!! | Number Properties set | New DS set
MIXED: GMAT Club's Complete Questions' Bank | SEVEN SAMURAI OF 2012 | Tricky questions from previous years. | Special Questions' Directory | Best Of The Best Of 2017 | The Best Of Quant of 2016 | 20 hardest and 20 best questions of 2015 | 15 best topics of 2015 | Seven Samurai of 2012 | GMAT Probability Questions

What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
Most Helpful Expert Reply
User avatar
V
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 11 Sep 2015
Posts: 5438
Location: Canada
Top Member of the Month
If x is a positive integer greater than 1, what is the value of x? [#permalink] New post  Updated on: 02 Jan 2019, 14:28
26
Kudos
17
Bookmarks
Expert Reply
Top Contributor
Bunuel wrote:
If x is a positive integer greater than 1, what is the value of x?

(1) 2x is a common factor of 18 and 24
(2) x is a factor of 6


Target question: What is the value of x?

Given: x is a positive integer greater than 1

Statement 1: 2x is a common factor of 18 and 24
Positive factors of 18: 1, 2, 3, 6, 9, 18
Positive factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
COMMON factors of 18 and 24: 1, 2, 3, 6
So, 2x = 1, 2x = 2, 2x = 3 or 2x = 6
This means, x = 0.5, x = 1, x = 1.5 or x = 3
Since we're told that x is a positive integer greater than 1, we can see that x MUST equal 3
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: x is a factor of 6
So, x could equal 1, 2, 3, or 6
Since we're told that x is a positive integer greater than 1, we can see that x COULD equal 2, 3, or 6
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Answer: A

RELATED VIDEO

_________________
Image

A focused approach to GMAT mastery
Signature Read More

Originally posted by BrentGMATPrepNow on 19 Jul 2016, 11:49.
Last edited by BrentGMATPrepNow on 02 Jan 2019, 14:28, edited 1 time in total.
Most Helpful Community Reply
User avatar
Divyadisha
Current Student
Joined: 18 Oct 2014
Posts: 760
Location: United States
GMAT 1: 660 Q49 V31
GPA: 3.98
GMAT ToolKit User
Re: If x is a positive integer greater than 1, what is the value of x? [#permalink] New post  19 Jul 2016, 16:29
11
Kudos
1
Bookmarks
Bunuel wrote:
If x is a positive integer greater than 1, what is the value of x?

(1) 2x is a common factor of 18 and 24
(2) x is a factor of 6


(1) 2x is a common factor of 18 and 24
Factors of 18= 2*3*3
Factors of 24= 2*2*2*3

Common factor of both 18 and 24= 2*3

2x=6
x=3
Sufficient.

(2) x is a factor of 6
x can be 1, 2, 3 or 6. Not sufficient.

A is the answer
_________________
I welcome critical analysis of my post!! That will help me reach 700+
Signature Read More
General Discussion
avatar
G
msk0657
Retired Moderator
Joined: 26 Nov 2012
Posts: 533
If x is a positive integer greater than 1, what is the value of x? [#permalink] New post  19 Jul 2016, 11:53
Bunuel wrote:
If x is a positive integer greater than 1, what is the value of x?

(1) 2x is a common factor of 18 and 24
(2) x is a factor of 6



This is how tried..

1. 2X is a common factor of 18 and 24. Take LCM of 18 and 24 i.e. 72 is the number. Then 2X = 72 => X = 36...Sufficient.

2 x is a factor of 6 - factors of 6 are 1,2,3 and 6 and here we get different X values.. Insufficient..

IMO correct option is A.

OA please...will correct if I missed anything...
avatar
B
hari1985
Intern
Intern
Joined: 06 Jul 2015
Posts: 22
Reviews Badge
Re: If x is a positive integer greater than 1, what is the value of x? [#permalink] New post  19 Jul 2016, 13:53
1
Kudos
If x is a positive integer greater than 1, what is the value of x?

(1) 2x is a common factor of 18 and 24
(2) x is a factor of 6



Statement 1 : GCD of 18 and 24 IS 72 . So x is 36..! Hold on , the next common factor is 2x72=144 so X is 72.
This is insufficient.

Statement 2: 6 has many factors which are positive such as 6,12,36 ..etc

Statement 1& Statement 2 : 36 and 72 are factors of 6 .

So we can determine the value of X using the statement 1 and statement 2
avatar
B
nipunjain14
Manager
Manager
Joined: 07 May 2015
Posts: 170
Location: India
Schools: ISB '19, Kellogg '20, Yale '20, HEC Dec"18
GMAT 1: 660 Q48 V31
GPA: 3
GMAT ToolKit User
Re: If x is a positive integer greater than 1, what is the value of x? [#permalink] New post  20 Jul 2016, 19:41
common factors of 18 and 24 are 2, 3, 6
ST1: 2x is factor of 18 and 24 .
we know x >1
thus only one value satisfies this x = 3
sufficient

St 2:
x is factor of 6
factors of 6 greater than 1 = 2, 3
insufficient

Ans :A
User avatar
P
ydmuley
Retired Moderator
Joined: 19 Mar 2014
Posts: 886
Location: India
Concentration: Finance, Entrepreneurship
Schools: Haas '20, HBS '20, CBS '20, Wharton '20, Stanford '20, Kellogg '20
GPA: 3.5
GMAT ToolKit User
Re: If x is a positive integer greater than 1, what is the value of x? [#permalink] New post  22 Jun 2017, 13:49
If x is a positive integer greater than 1, what is the value of x?

x>1

(1) 2x is a common factor of 18 and 24

As 2x is a common fator of 18 & 24, lets fiigure out what can take the value of 2x

18 = 1*2*3*3
24 = 1*2*2*2*3

Common factors are: 1*2*3 = = 2*3 - Here 3 replaces x from the equation 2x, so get the value of x = 3 which is > 1

Hence =====> (1) is SUFFICIENT

(2) x is a factor of 6

x is a factor of 6

Which means x can be any of these numbers: 1, 2, 3

As you an clearly see that we can have twp possibilities, =1 and >1 we really cannot answer the question is x > 1.

Hence, =====> (2) is NOT-SUFFICIENT


Hence - Answer is A
_________________
"Nothing in this world can take the place of persistence. Talent will not: nothing is more common than unsuccessful men with talent. Genius will not; unrewarded genius is almost a proverb. Education will not: the world is full of educated derelicts. Persistence and determination alone are omnipotent."

Best AWA Template: https://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327.html#p470475
Signature Read More
User avatar
S
zvazviri
Manager
Manager
Joined: 12 Dec 2016
Posts: 77
Re: If x is a positive integer greater than 1, what is the value of x? [#permalink] New post  10 Oct 2017, 23:56
1
Kudos
Attachment:
File comment: Solution
DS Solution.JPG
DS Solution.JPG [ 1.57 MiB | Viewed 28405 times ]
A. see attached.
avatar
B
elonsmusk
Intern
Intern
Joined: 29 Dec 2018
Posts: 2
Location: United States (NY)
Concentration: Social Entrepreneurship, Sustainability
GPA: 3.45
WE:Underwriter (Venture Capital)
Re: If x is a positive integer greater than 1, what is the value of x? [#permalink] New post  20 Mar 2019, 02:43
I'm confused - why can't x = 1.5 in this case? If 3 and 6 are both factors of 18 and 24 in statement 1. And X > 1.

Then can't 2x = 3 (x=1.5) and 2x = 6 (x=3) work?
avatar
B
bhChicago
Intern
Intern
Joined: 01 Dec 2018
Posts: 4
Location: United States (IL)
Concentration: Strategy, Finance
Schools: Kellogg '23, Ross '23, Wharton '23
GPA: 3
WE:Supply Chain Management (Transportation)
Re: If x is a positive integer greater than 1, what is the value of x? [#permalink] New post  28 Apr 2019, 10:35
elonmusk

The prompt states that X is an (positive) integer.
_________________
[fraction][/fraction]
Signature Read More
User avatar
V
AnirudhaS
LBS Moderator
Joined: 30 Oct 2019
Posts: 765
Location: United Kingdom
Concentration: General Management, Technology
Schools: INSEAD Jan'21 Intake, Cambridge '22, LBS '23
GPA: 4
If x is a positive integer greater than 1, what is the value of x? [#permalink] New post  04 May 2020, 10:07
1
Kudos
(1)18, 24 has positive factors 1,2,3,6
Now 2x cannot be 1 and 3 because x is an integer
Also 2x cannot be 2, because x>1
Therefore, 2x must be 6, x=3
Sufficient

(2) Positive factors of 6 are 1,2,3 and 6
It cannot be 1 because x>1
but x can be either 2 or 3 or 6.
Not sufficient

Answer: A
User avatar
P
MHIKER
VP
VP
Joined: 14 Jul 2010
Status:No dream is too large, no dreamer is too small
Posts: 1452
Re: If x is a positive integer greater than 1, what is the value of x? [#permalink] New post  23 Sep 2020, 10:05
Top Contributor
Bunuel wrote:
If x is a positive integer greater than 1, what is the value of x?

(1) 2x is a common factor of 18 and 24
(2) x is a factor of 6



X is greater than or equal to 2

1) The common factors of 18 and 24 are: 2, and 3
The option says 2x is factor of 18 and 24
only 3 satisfies the condition. So x = 3
Option 1 is sufficient.

2) This gives 2, 3, and 6; several options. Insufficient.

Ans. A.
_________________
Collections:-
PSof OG solved by GC members: http://gmatclub.com/forum/collection-ps-with-solution-from-gmatclub-110005.html
DS of OG solved by GC members: http://gmatclub.com/forum/collection-ds-with-solution-from-gmatclub-110004.html
100 GMAT PREP Quantitative collection http://gmatclub.com/forum/gmat-prep-problem-collections-114358.html
Collections of work/rate problems with solutions http://gmatclub.com/forum/collections-of-work-rate-problem-with-solutions-118919.html
Mixture problems in a file with best solutions: http://gmatclub.com/forum/mixture-problems-with-best-and-easy-solutions-all-together-124644.html
Signature Read More
avatar
G
basshead
VP
VP
Joined: 09 Jan 2020
Posts: 1145
Premium Member
Re: If x is a positive integer greater than 1, what is the value of x? [#permalink] New post  22 Dec 2020, 10:34
Bunuel wrote:
If x is a positive integer greater than 1, what is the value of x?

(1) 2x is a common factor of 18 and 24
(2) x is a factor of 6


Bunuel,

Statement 1 says 2x is a common factor of 18 and 24.

Can we then say that x is a common factor of 9 and 12?

9 and 12 share 3 as a common factor; x must be 3.
_________________
Help me get better -- please critique my responses!
Signature Read More
GMAT Club Bot
gmatclubot
Re: If x is a positive integer greater than 1, what is the value of x? [#permalink]
22 Dec 2020, 10:34
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
chetan2u
Math Expert
9813 posts
Bunuel
Math Expert
74519 posts
GMATBusters
Retired Moderator
1991 posts
nick1816
DS Forum Moderator
2266 posts

cron

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