Apr 27 07:00 AM PDT  09:00 AM PDT Attend this webinar and master GMAT SC in 10 days by learning how meaning and logic can help you tackle 700+ level SC questions with ease. Apr 28 07:00 AM PDT  09:00 AM PDT Attend this webinar to learn a structured approach to solve 700+ Number Properties question in less than 2 minutes. Apr 29 08:00 AM PDT  09:00 AM PDT Join a free live webinar and learn timemanagement tactics that will guarantee you answer all questions, in all sections, on time. Save your spot today! Apr 30 10:00 PM PDT  11:00 PM PDT Enter to win 3 full months of access to EMPOWERgmat's groundbreaking GMAT prep course. Prize includes all 6 GMAT Official Practice exams and access to the GMAT Club Test & Quiz Bank Pack. May 01 10:00 PM PDT  11:00 PM PDT Target Test Prep is kicking off spring with a fresh giveaway contest! For a limited time, you have a chance to win 4 months of full, FREE access to our 5star rated GMAT Quant course.
Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 15 Nov 2009
Posts: 39

If x is a prime number, what is the value of x?
[#permalink]
Show Tags
25 Jun 2011, 04:58
Question Stats:
82% (01:04) correct 18% (01:00) wrong based on 81 sessions
HideShow timer Statistics
If x is a prime number, what is the value of x? (1) There are a total of 50 prime numbers between 2 and x, inclusive. (2) There is no integer n such that x is divisible by n and 1 < n < x. Here is my understanding Statement 1> Sufficient as we can find the value of x i.e the highest prime number. Statement 2> I am struggling to understand this statement in the book. Can someone in this forum please be kind enough to let me understand the concept behind this statement if possible with an example? Correct answer is this statement alone is insufficient.
Official Answer and Stats are available only to registered users. Register/ Login.



Retired Moderator
Joined: 20 Dec 2010
Posts: 1784

Re: If x is a prime number, what is the value of x?
[#permalink]
Show Tags
25 Jun 2011, 05:07
gsaxena26 wrote: If x is a prime number what is the value of x?
a) There are a total of 50 prime numbers between 2 and x inclusive. b) There is no integer n such that x is divisible by n and 1<n<x.
Here is my understanding
Statement 1> Sufficient as we can find the value of x i.e the highest prime number. Statement 2> I am struggling to understand this statement in the book. Can someone in this forum please be kind enough to let me understand the concept behind this statement if possible with an example? Correct answer is this statement alone is insufficient. 1) x is the 50th prime number. Sufficient. 2) x is some prime number. Not Sufficient. 1<n<5 n can be 2, 3, 4; none of which is a factor of x i.e. 5. 1<n<13 n can be 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12; none of which is a factor of x i.e. 13. x can be any prime number.
_________________



Intern
Joined: 15 Nov 2009
Posts: 39

Re: If x is a prime number, what is the value of x?
[#permalink]
Show Tags
25 Jun 2011, 05:11
Many thanks fluke for such a good reply.



Intern
Joined: 08 Sep 2010
Posts: 48

Re: If x is a prime number, what is the value of x?
[#permalink]
Show Tags
25 Jun 2011, 09:06
So Fluke, Quote: There is no integer n such that x is divisible by n and 1<n<x. ^ is just a way of saying that x is a prime number?
_________________
Don't forget to give me ****KUDOS****



Intern
Joined: 15 Nov 2009
Posts: 39

Re: If x is a prime number, what is the value of x?
[#permalink]
Show Tags
25 Jun 2011, 09:19
Yes. Also, there are only two factors of x which are x an x+1 which means that x is a prime number. If a number has only two factors then its a prime number which is the number itself and 1.



Retired Moderator
Joined: 20 Dec 2010
Posts: 1784

Re: If x is a prime number, what is the value of x?
[#permalink]
Show Tags
25 Jun 2011, 09:27
386390 wrote: So Fluke, Quote: There is no integer n such that x is divisible by n and 1<n<x. ^ is just a way of saying that x is a prime number? Yes, provided x is an integer, which it is.
_________________



Director
Joined: 03 May 2007
Posts: 778
Schools: University of Chicago, Wharton School

Re: Number props DS
[#permalink]
Show Tags
09 Aug 2011, 22:04
ruturaj wrote: If x is a prime number, what is the value of x?
(1) There are a total of 50 prime numbers between 2 and x, inclusive. (2) There is no integer n such that x is divisible by n and 1 < n< x. From 1, x can be identified. Sufficient. From 2, x is not 2 but could be any prime > 2. No prime is divisible by n given that 1 < n< x. (statement 2 is not much clear for me. May be its a long brake for me). So it should be A.



Manager
Joined: 07 Dec 2010
Posts: 96
Concentration: Marketing, General Management

Re: Number props DS
[#permalink]
Show Tags
10 Aug 2011, 00:16
Fistail wrote: ruturaj wrote: If x is a prime number, what is the value of x?
(1) There are a total of 50 prime numbers between 2 and x, inclusive. (2) There is no integer n such that x is divisible by n and 1 < n< x. From 1, x can be identified. Sufficient. From 2, x is not 2 but could be any prime > 2. No prime is divisible by n given that 1 < n< x. (statement 2 is not much clear for me. May be its a long brake for me). So it should be A. Please explain how 1 is sufficient..please explain with steps..



Manager
Joined: 06 Jul 2011
Posts: 118
Schools: Columbia

Re: Number props DS
[#permalink]
Show Tags
10 Aug 2011, 00:23
ruturaj wrote: Please explain how 1 is sufficient..please explain with steps.. There is 1 prime number btwn 2 and 5 (which is 3). 2 prime numbers btwn 2 and 7 (which is 3 and 5). so 50 prime numbers btwn 2 and x (just put in 50 prime numbers from 3 onwards and get the 51st prime number to get X) You don't have to calculate it out because its a DS qtn but you know you can get the answer. So (A) is sufficient.



Manager
Joined: 07 Dec 2010
Posts: 96
Concentration: Marketing, General Management

Re: Number props DS
[#permalink]
Show Tags
10 Aug 2011, 01:41
openbox1 wrote: ruturaj wrote: Please explain how 1 is sufficient..please explain with steps.. There is 1 prime number btwn 2 and 5 (which is 3). 2 prime numbers btwn 2 and 7 (which is 3 and 5). so 50 prime numbers btwn 2 and x (just put in 50 prime numbers from 3 onwards and get the 51st prime number to get X) You don't have to calculate it out because its a DS qtn but you know you can get the answer. So (A) is sufficient. Yes but there are several prime nos how can we find the one exact value of x?



Manager
Joined: 16 Feb 2011
Posts: 198

Re: Number props DS
[#permalink]
Show Tags
10 Aug 2011, 02:42
I thought the same first but i think the word to be noticed in the ques stem is between..."There are a total of 50 prime numbers between 2 and x"..
so, x will be the 51st value.



Current Student
Joined: 08 Jan 2009
Posts: 303

Re: Number props DS
[#permalink]
Show Tags
10 Aug 2011, 03:26
1) 2, p1, p2 ... p51. Sufficient 2) x is not 2. Not sufficient
A
Posted from my mobile device



Director
Joined: 03 May 2007
Posts: 778
Schools: University of Chicago, Wharton School

Re: Number props DS
[#permalink]
Show Tags
10 Aug 2011, 11:05
ruturaj wrote: Fistail wrote: ruturaj wrote: If x is a prime number, what is the value of x?
(1) There are a total of 50 prime numbers between 2 and x, inclusive. (2) There is no integer n such that x is divisible by n and 1 < n< x. From 1, x can be identified. Sufficient. From 2, x is not 2 but could be any prime > 2. No prime is divisible by n given that 1 < n< x. (statement 2 is not much clear for me. May be its a long brake for me). So it should be A. Please explain how 1 is sufficient..please explain with steps.. (1) If there are a total of 50 prime numbers between 2 and x, inclusive, then prime numbers are p1 (which is 2), p2 (=3), p3 (=5), ....... p50 (=x). So x = p50. sufficient. However the question is what is x? But we do not need to answer what exactly is x. What we need is whether statement 1 is sufficient to answer the question or not. That's sufficient.



Manager
Joined: 06 Feb 2010
Posts: 146
Concentration: Marketing, Leadership
Schools: University of Dhaka  Class of 2010
GPA: 3.63
WE: Business Development (Consumer Products)

Re: If x is a prime number, what is the value of x? (1) There
[#permalink]
Show Tags
25 Nov 2013, 21:06
stm2 is not clear to me. Can anyone provide better explanation. thanks
_________________
Practice Makes a Man Perfect. Practice. Practice. Practice......Perfectly
Critical Reasoning: http://gmatclub.com/forum/bestcriticalreasoningshortcutsnotestips91280.html
Collections of MGMAT CAT: http://gmatclub.com/forum/collectionsofmgmatcatmath152750.html
MGMAT SC SUMMARY: http://gmatclub.com/forum/mgmatscsummaryoffourthedition152753.html
Sentence Correction: http://gmatclub.com/forum/sentencecorrectionstrategiesandnotes91218.html
Arithmatic & Algebra: http://gmatclub.com/forum/arithmaticalgebra93678.html
Helpful Geometry formula sheet: http://gmatclub.com/forum/bestgeometry93676.html
I hope these will help to understand the basic concepts & strategies. Please Click ON KUDOS Button.



Verbal Forum Moderator
Joined: 10 Oct 2012
Posts: 611

Re: If x is a prime number, what is the value of x? (1) There
[#permalink]
Show Tags
25 Nov 2013, 21:36
monirjewel wrote: stm2 is not clear to me. Can anyone provide better explanation. thanks F.S 2 states that "There is no integer n such that x is divisible by n and 1 < n< x." In other words, it means that for the integer x,there is no other factor of x which is greater than 1 and less than x. For example, take x=4. We have n=2, where 4 is divisible by 2, and 1<2<4. But, for x=5,we have no value of 'n', which will be less than 5 and greater than 1.Thus, statement 2 basically means to say that x is a prime integer, which we already know.Insufficient. Hope this helps.
_________________



NonHuman User
Joined: 09 Sep 2013
Posts: 10647

Re: If x is a prime number, what is the value of x?
[#permalink]
Show Tags
15 Aug 2017, 07:35
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.
_________________




Re: If x is a prime number, what is the value of x?
[#permalink]
15 Aug 2017, 07:35






