Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 25 May 2017, 15:54

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If x is a prime number, what is the value of x?

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

### Hide Tags

Intern
Joined: 15 Nov 2009
Posts: 43
Followers: 0

Kudos [?]: 27 [0], given: 2

If x is a prime number, what is the value of x? [#permalink]

### Show Tags

25 Jun 2011, 04:58
00:00

Difficulty:

25% (medium)

Question Stats:

80% (01:38) correct 20% (00:18) wrong based on 30 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
[Reveal] Spoiler:
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.
[Reveal] Spoiler: OA
Math Forum Moderator
Joined: 20 Dec 2010
Posts: 2013
Followers: 163

Kudos [?]: 1824 [0], given: 376

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: 43
Followers: 0

Kudos [?]: 27 [0], given: 2

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.
Manager
Joined: 08 Sep 2010
Posts: 58
Followers: 0

Kudos [?]: 31 [0], given: 4

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: 43
Followers: 0

Kudos [?]: 27 [0], given: 2

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.
Math Forum Moderator
Joined: 20 Dec 2010
Posts: 2013
Followers: 163

Kudos [?]: 1824 [0], given: 376

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: 875
Schools: University of Chicago, Wharton School
Followers: 6

Kudos [?]: 209 [0], given: 7

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: 114
Concentration: Marketing, General Management
Followers: 0

Kudos [?]: 31 [0], given: 12

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: 124
Schools: Columbia
Followers: 1

Kudos [?]: 16 [0], given: 3

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: 114
Concentration: Marketing, General Management
Followers: 0

Kudos [?]: 31 [0], given: 12

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?
Senior Manager
Joined: 16 Feb 2011
Posts: 259
Followers: 4

Kudos [?]: 162 [0], given: 9

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: 326
GMAT 1: 770 Q50 V46
Followers: 25

Kudos [?]: 146 [0], given: 7

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: 875
Schools: University of Chicago, Wharton School
Followers: 6

Kudos [?]: 209 [0], given: 7

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: 174
Schools: University of Dhaka - Class of 2010
GPA: 3.63
WE: Business Development (Consumer Products)
Followers: 64

Kudos [?]: 1248 [0], given: 182

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/best-critical-reasoning-shortcuts-notes-tips-91280.html

Collections of MGMAT CAT: http://gmatclub.com/forum/collections-of-mgmat-cat-math-152750.html

MGMAT SC SUMMARY: http://gmatclub.com/forum/mgmat-sc-summary-of-fourth-edition-152753.html

Sentence Correction: http://gmatclub.com/forum/sentence-correction-strategies-and-notes-91218.html

Arithmatic & Algebra: http://gmatclub.com/forum/arithmatic-algebra-93678.html

Helpful Geometry formula sheet: http://gmatclub.com/forum/best-geometry-93676.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: 629
Followers: 83

Kudos [?]: 1192 [0], given: 136

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.
_________________
Re: If x is a prime number, what is the value of x? (1) There   [#permalink] 25 Nov 2013, 21:36
Similar topics Replies Last post
Similar
Topics:
If x is a prime number, what is the value of x. 2 02 Jan 2017, 17:25
3 If x is a prime number, what is the value of x. 4 14 Jan 2017, 00:46
10 If x is a prime number, what is the value of x? 7 14 Jan 2017, 04:10
12 If x and y are prime numbers, what is the value of |x-y|? 12 17 Aug 2016, 03:35
34 If x is a prime number, what is the value of x? 14 13 Jan 2017, 00:49
Display posts from previous: Sort by

# If x is a prime number, what is the value of x?

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group and phpBB SEO 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®.