NEW HERE? LEARN MORE
closeclose
Last visit was: 14 May 2024, 03:32 It is currently 14 May 2024, 03:32
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 an integer, is x > 0?

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
avatar
Vijayeta
Intern
Intern
Joined: 14 Jan 2014
Posts: 9
Own Kudos [?]: 233 [28]
Given Kudos: 60
Send PM
GMAT ToolKit User
If x is an integer, is x > 0? [#permalink] New post   13 Aug 2014, 04:07
2
Kudos
26
Bookmarks
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

56% (01:04) correct 44% (01:08) wrong based on 383 sessions
Hide Show timer Statistics
If x is an integer, is x > 0?

1. x has only one multiple
2. x has an infinite number of factors
ShowHide Answer
Official Answer
D
Most Helpful Reply
User avatar
B
oss198
Manager
Manager
Joined: 18 Jul 2013
Posts: 69
Own Kudos [?]: 363 [6]
Given Kudos: 120
Location: Italy
Schools: LBS '21 Insead Sept19 Intake (A) IESE '21 (A$)
GMAT 1: 600 Q42 V31
GMAT 2: 700 Q48 V38
GPA: 3.75
Send PM
If x is an integer, is x > 0? [#permalink] New post   15 Aug 2014, 04:35
2
Kudos
4
Bookmarks
Vijayeta wrote:
If x is an integer, is x > 0?

1. x has only one multiple
2. x has an infinite number of factors



1) Every number different from 0 has a infinite number of multiple. Ex the mutiples of 2 are 2, 4, 6, 8 etc.
But 0 will only have one multiple : 0 itself.
For example : \(0*1 = 0\), \(0*2=0\), \(0*3=0.\)
So x=0. Sufficient.

2) Every integer has a finite number of factors. example : 2 has 2 and 1. 3 has 3 and 1. 4 has 4, 2 and 1. etc...
The only number with an infinite number of factors will be 0. example : \(0 = 1*2*3*4*5*(etc)*0\)
so x=0. Sufficient.

Answer D
General Discussion
User avatar
L
EMPOWERgmatRichC
GMAT Club Legend
GMAT Club Legend
Joined: 19 Dec 2014
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Posts: 21843
Own Kudos [?]: 11681 [3]
Given Kudos: 450
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Send PM
Re: If x is an integer, is x > 0? [#permalink] New post   20 Apr 2015, 18:12
2
Kudos
1
Bookmarks
Expert Reply
Hi gmathunk,

When dealing with DS questions, you have to pay careful attention to the information that you're given and the QUESTION that is asked. Organization and note-taking are key here. Your task is to determine whether a given Fact (when combined with any information that you were given from the prompt) is enough to definitively answer the given question or not.

Here, we're told that X is an INTEGER. The QUESTION asks if it is greater than 0. This is a YES/NO question.

Thus, while we know that X is a whole number, it could be a positive or negative integer and it could even be 0. By working with each of the two individual Facts, you can determine that X MUST be 0 in each case, so you CAN definitively answer the question (the answer is ALWAYS NO).

GMAT assassins aren't born, they're made,
Rich
User avatar
L
BillyZ
Current Student
Joined: 14 Nov 2016
Posts: 1173
Own Kudos [?]: 20785 [1]
Given Kudos: 926
Location: Malaysia
Concentration: General Management, Strategy
Schools: Sloan '23 (D) Tuck '23 (D) Darden '23 (D) Ross '23 (D) Kellogg '23 (D) Wharton '23 (D) Booth '23 (D) Fuqua '24 (A) Harvard '24 (D) Stanford '24 (D)
GMAT 1: 750 Q51 V40 (Online)
GPA: 3.53
Send PM
GMAT ToolKit User Reviews Badge
Re: If x is an integer, is x > 0? [#permalink] New post   07 Mar 2017, 00:48
1
Bookmarks
Vijayeta wrote:
If x is an integer, is \(x > 0\)?

1. x has only one multiple
2. x has an infinite number of factors


Official solution from Veritas Prep.

Solution: D

The only integer that has exactly one multiple is 0; every other integer has an infinite number of multiples, so statement (1) is SUFFICIENT. Zero is also the only integer that has an infinite number of factors – zero divided by anything yields an integer result – so statement (2) is also SUFFICIENT. (If you were wondering about infinity itself as a possibility for statement (2), infinity isn’t an integer because it cannot be represented in terms of digits.) (D)
avatar
B
gmathunk
Intern
Intern
Joined: 15 Mar 2015
Posts: 8
Own Kudos [?]: 22 [0]
Given Kudos: 8
Send PM
If x is an integer, is x > 0? [#permalink] New post   18 Apr 2015, 23:48
Vijayeta wrote:
If x is an integer, is x > 0?

1. x has only one multiple
2. x has an infinite number of factors



It is given that x>0, then why are we considering the condition of x=0 and answering?
That's true x=0 is the only possible solution but still it's against the given question. Or the question itself is flawed?
avatar
Sagar5999
Intern
Intern
Joined: 20 Mar 2015
Posts: 5
Own Kudos [?]: 1 [0]
Given Kudos: 17
Send PM
Re: If x is an integer, is x > 0? [#permalink] New post   20 Apr 2015, 07:33
gmathunk wrote:
Vijayeta wrote:
If x is an integer, is x > 0?

1. x has only one multiple
2. x has an infinite number of factors



It is given that x>0, then why are we considering the condition of x=0 and answering?
That's true x=0 is the only possible solution but still it's against the given question. Or the question itself is flawed?





Hello,

The only thing that the question says is X is an integer.It asks whether X > 0 .


Thanks
avatar
B
ajdse22
Manager
Manager
Joined: 17 Aug 2015
Posts: 77
Own Kudos [?]: 65 [0]
Given Kudos: 196
Send PM
GMAT ToolKit User
Re: If x is an integer, is x > 0? [#permalink] New post   31 Jan 2016, 21:28
EMPOWERgmatRichC wrote:
Hi gmathunk,

When dealing with DS questions, you have to pay careful attention to the information that you're given and the QUESTION that is asked. Organization and note-taking are key here. Your task is to determine whether a given Fact (when combined with any information that you were given from the prompt) is enough to definitively answer the given question or not.

Here, we're told that X is an INTEGER. The QUESTION asks if it is greater than 0. This is a YES/NO question.

Thus, while we know that X is a whole number, it could be a positive or negative integer and it could even be 0. By working with each of the two individual Facts, you can determine that X MUST be 0 in each case, so you CAN definitively answer the question (the answer is ALWAYS NO).

GMAT assassins aren't born, they're made,
Rich


Hi, Thanks for your post. I want to study if it relevant to the solution that x is an integer. If it was not told, what difference does it cause to the solution? The first statement will still be sufficient. Let us consider a fraction 0.5 . Now we know that it has more than one multiple. The second statement will be insufficient because we now have zero and a value such as 1/2. 1/2 can have infinite factors. For example 1/2p is a factor of 1/2 for any p as long it is multiplied by p. Please let me know if I am in the right direction
User avatar
S
Nunuboy1994
Director
Director
Joined: 12 Nov 2016
Posts: 569
Own Kudos [?]: 118 [0]
Given Kudos: 167
Location: United States
Schools: Yale '18
GMAT 1: 650 Q43 V37
GRE 1: Q157 V158
GPA: 2.66
Send PM
If x is an integer, is x > 0? [#permalink] New post   25 Sep 2017, 22:33
Vijayeta wrote:
If x is an integer, is x > 0?

1. x has only one multiple
2. x has an infinite number of factors


Interesting question

Statement 1

X must be 0 because only 0 is the only integer that has one multiple

Statement 2

Only 0 can have an infinite number of factors
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32998
Own Kudos [?]: 828 [0]
Given Kudos: 0
Send PM
Re: If x is an integer, is x > 0? [#permalink] New post   02 Sep 2023, 05:34
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
gmatclubot
Re: If x is an integer, is x > 0? [#permalink]
02 Sep 2023, 05:34
Moderator:
Bunuel
Math Expert
93256 posts

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