Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 26 Oct 2016, 11:21

### 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

# Events & Promotions

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

# If x>1, what is the value of integer x?

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

### Hide Tags

Senior Manager
Joined: 10 Nov 2010
Posts: 267
Location: India
Concentration: Strategy, Operations
GMAT 1: 520 Q42 V19
GMAT 2: 540 Q44 V21
WE: Information Technology (Computer Software)
Followers: 5

Kudos [?]: 268 [2] , given: 22

If x>1, what is the value of integer x? [#permalink]

### Show Tags

10 Mar 2011, 06:50
2
This post received
KUDOS
2
This post was
BOOKMARKED
00:00

Difficulty:

75% (hard)

Question Stats:

47% (02:03) correct 53% (01:01) wrong based on 210 sessions

### HideShow timer Statistics

If x>1, what is the value of integer x?

(1) There are x unique factors of x.
(2) The sum of x and any prime number larger than x is odd

[Reveal] Spoiler:
1) x can be 1 or 2 but as x>1 so x=2 --S

2) according to me statement is saying x is even prime number so x=2-- S

But OA is different
[Reveal] Spoiler: OA

_________________

The proof of understanding is the ability to explain it.

Math Expert
Joined: 02 Sep 2009
Posts: 35305
Followers: 6645

Kudos [?]: 85769 [1] , given: 10252

Re: sum of x and any prime number larger than x is odd [#permalink]

### Show Tags

10 Mar 2011, 07:07
1
This post received
KUDOS
Expert's post
3
This post was
BOOKMARKED
GMATD11 wrote:
If x>1, what is the value of integer x?

1) There are x unique factors of x.
2) The sum of x and any prime number larger than x is odd

1) x can be 1 or 2 but as x>1 so x=2 --S

2) according to me statement is saying x is even prime number so x=2-- S

But OA is different

If x>1, what is the value of integer x?

(1) There are x unique factors of x --> x to have x distinct positive factors it must be divisible by EVERY integer from 1 to x, inclusive but x can not be divisible by x-1 unless x=2, for example 3 is not divisible by 2, 4 is not divisible by 3, etc, but 2 is divisible by 1 (other value of x which has x distinct positive factors (1) is excluded by the stem as x>1). So this statement implies that x=2. Sufficient.

(2) The sum of x and any prime number larger than x is odd --> x+prime=odd, now as x itself is more than 1 then prime more than x cannot be 2 thus it's odd and we have x+odd prime=odd --> x=even, so x could be ANY even number. Not sufficient.

Answer: A.
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 35305
Followers: 6645

Kudos [?]: 85769 [1] , given: 10252

Re: sum of x and any prime number larger than x is odd [#permalink]

### Show Tags

18 Sep 2012, 03:15
1
This post received
KUDOS
Expert's post
avaneeshvyas wrote:
Bunuel wrote:
GMATD11 wrote:
If x>1, what is the value of integer x?

1) There are x unique factors of x.
2) The sum of x and any prime number larger than x is odd

1) x can be 1 or 2 but as x>1 so x=2 --S

2) according to me statement is saying x is even prime number so x=2-- S

But OA is different

If x>1, what is the value of integer x?

(1) There are x unique factors of x --> x to have x distinct positive factors it must be divisible by EVERY integer from 1 to x, inclusive but x can not be divisible by x-1 unless x=2, for example 3 is not divisible by 2, 4 is not divisible by 3, etc, but 2 is divisible by 1 (other value of x which has x distinct positive factors (1) is excluded by the stem as x>1). So this statement implies that x=2. Sufficient.

(2) The sum of x and any prime number larger than x is odd --> x+prime=odd, now as x itself is more than 1 then prime more than x cannot be 2 thus it's odd and we have x+odd prime=odd --> x=even, so x could be ANY even number. Not sufficient.

Answer: A.

Need an explanation for statement 2.... the number to be added to x has to be a odd prime...for the result to be odd...but then why cannot x be 2 here.... I agree with the OA...it will be A...but I don't understand why can't x = 2 be one of the possible values....

From (2) x can be 2, but it can also be any other even number, for example 4: 4+5=9=odd.

Hope it's clear.
_________________
Manager
Joined: 14 Dec 2011
Posts: 68
Followers: 0

Kudos [?]: 47 [0], given: 69

Re: Number properties [#permalink]

### Show Tags

13 Sep 2012, 11:50
Bunuel wrote:
vinnik wrote:
If x > 1, what is the value of integer x ?

(1) There are x unique factors of x
(2) The sum of x and any prime number larger than x is odd.

Please explain with the help of examples.

Thanks & Regards
Vinni

Merging similar topics. Please ask if anything remains unclear.

Also, please read and follow: rules-for-posting-please-read-this-before-posting-133935.html

Thanks Bunuel.

In statement (1), I understand that "x to have x distinct positive factors it must be divisible by EVERY integer from 1 to x, inclusive", but what confuses me is the next line that mentions "x-1." I have understood other numbers that are not divisible. But what is the logic behind "x-1." Well i do understand that in x>1 i can take 1 to the other side which makes x-1. But i am not able to understand this method clearly.

Can you please elaborate more on it.
Statement (2) is fine. I was able to get it.

Regards
Vinni
Math Expert
Joined: 02 Sep 2009
Posts: 35305
Followers: 6645

Kudos [?]: 85769 [0], given: 10252

Re: Number properties [#permalink]

### Show Tags

14 Sep 2012, 04:12
vinnik wrote:
Bunuel wrote:
vinnik wrote:
If x > 1, what is the value of integer x ?

(1) There are x unique factors of x
(2) The sum of x and any prime number larger than x is odd.

Please explain with the help of examples.

Thanks & Regards
Vinni

Merging similar topics. Please ask if anything remains unclear.

Also, please read and follow: rules-for-posting-please-read-this-before-posting-133935.html

Thanks Bunuel.

In statement (1), I understand that "x to have x distinct positive factors it must be divisible by EVERY integer from 1 to x, inclusive", but what confuses me is the next line that mentions "x-1." I have understood other numbers that are not divisible. But what is the logic behind "x-1." Well i do understand that in x>1 i can take 1 to the other side which makes x-1. But i am not able to understand this method clearly.

Can you please elaborate more on it.
Statement (2) is fine. I was able to get it.

Regards
Vinni

Not sure I understand your question here, but we use the fact that x cannot be divisible by x-1 unless x=2 to proof that x can only be 2.
_________________
Manager
Joined: 11 Jul 2012
Posts: 50
GMAT 1: 650 Q49 V29
Followers: 0

Kudos [?]: 29 [0], given: 20

Re: sum of x and any prime number larger than x is odd [#permalink]

### Show Tags

18 Sep 2012, 03:09
Bunuel wrote:
GMATD11 wrote:
If x>1, what is the value of integer x?

1) There are x unique factors of x.
2) The sum of x and any prime number larger than x is odd

1) x can be 1 or 2 but as x>1 so x=2 --S

2) according to me statement is saying x is even prime number so x=2-- S

But OA is different

If x>1, what is the value of integer x?

(1) There are x unique factors of x --> x to have x distinct positive factors it must be divisible by EVERY integer from 1 to x, inclusive but x can not be divisible by x-1 unless x=2, for example 3 is not divisible by 2, 4 is not divisible by 3, etc, but 2 is divisible by 1 (other value of x which has x distinct positive factors (1) is excluded by the stem as x>1). So this statement implies that x=2. Sufficient.

(2) The sum of x and any prime number larger than x is odd --> x+prime=odd, now as x itself is more than 1 then prime more than x cannot be 2 thus it's odd and we have x+odd prime=odd --> x=even, so x could be ANY even number. Not sufficient.

Answer: A.

Need an explanation for statement 2.... the number to be added to x has to be a odd prime...for the result to be odd...but then why cannot x be 2 here.... I agree with the OA...it will be A...but I don't understand why can't x = 2 be one of the possible values....
Manager
Joined: 11 Jul 2012
Posts: 50
GMAT 1: 650 Q49 V29
Followers: 0

Kudos [?]: 29 [0], given: 20

Re: sum of x and any prime number larger than x is odd [#permalink]

### Show Tags

18 Sep 2012, 03:30
Thanks Bunuel... I think I might have got confused by the language of the earlier post......Thank you for the clarification
Senior Manager
Joined: 13 Aug 2012
Posts: 464
Concentration: Marketing, Finance
GMAT 1: Q V0
GPA: 3.23
Followers: 25

Kudos [?]: 402 [0], given: 11

Re: If x>1, what is the value of integer x? [#permalink]

### Show Tags

20 Sep 2012, 01:36
X > 1, what is x?

(1) if x=2, unique factor is 2
If x=3, unique factor is 2
Moving up the unqie factor count minimum is 2 and only 2 qualifies for the condition
X=2, SUFFICIENT

(2) x + odd = odd
We don't know x yet excep it is x>1.
so if prime is even, x should be odd
If prime is odd, x should be even.
INSUFFICIENT

Answer: A
_________________

Impossible is nothing to God.

Intern
Joined: 27 Aug 2012
Posts: 19
Location: India
Concentration: International Business, Strategy
WE: Project Management (Manufacturing)
Followers: 0

Kudos [?]: 9 [0], given: 1

Re: If x>1, what is the value of integer x? [#permalink]

### Show Tags

07 Jun 2013, 03:37
Hi,
Pls answer below points:
1) x to have x distinct positive factors it must be divisible by EVERY integer from 1 to x- Not clear about this statement. As per my understanding factors are those which completely divide the number.So how can factors will be divisible and that too why from all the number b/w 1 to x.
2) What do you understand by 'unique factors'.

Please explain me the strategy to adopt while attempting to comprehend the concepts.

Regards
Anuj
Math Expert
Joined: 02 Sep 2009
Posts: 35305
Followers: 6645

Kudos [?]: 85769 [0], given: 10252

Re: If x>1, what is the value of integer x? [#permalink]

### Show Tags

07 Jun 2013, 07:45
coolanujdel wrote:
Hi,
Pls answer below points:
1) x to have x distinct positive factors it must be divisible by EVERY integer from 1 to x- Not clear about this statement. As per my understanding factors are those which completely divide the number.So how can factors will be divisible and that too why from all the number b/w 1 to x.
2) What do you understand by 'unique factors'.

Please explain me the strategy to adopt while attempting to comprehend the concepts.

Regards
Anuj

Factor of x is a positive integer which divides x evenly (without a remainder). Notice that each factor of x must be less than or equal to x: the smallest factor of a positive integer is 1 and the greatest factor is that integer itself. For example, the smallest factor of 12 is 1 and the greatest factor of 12 is 12 itself.

Now, x to have x distinct positive factors it must be divisible by EVERY integer from 1 to x: 1, 2, 3, ..., x-1, x --> total of x factors.

As for your second question: unique factors are distinct factors. For example 12 has 6 unique (distinct) factors: 1, 2, 3, 4, 6, and 12.

Hope it's clear.
_________________
Intern
Joined: 15 Jul 2012
Posts: 43
Followers: 0

Kudos [?]: 11 [0], given: 7

Re: If x>1, what is the value of integer x? [#permalink]

### Show Tags

07 Jun 2013, 23:19
I have got your point completely.Thanks for giving your time!
one thing i need to get clarify is Why we are taking X-1 always instead for any series X+1 for consecutive integers is also possible or not?
Math Expert
Joined: 02 Sep 2009
Posts: 35305
Followers: 6645

Kudos [?]: 85769 [0], given: 10252

Re: If x>1, what is the value of integer x? [#permalink]

### Show Tags

08 Jun 2013, 03:23
anu1706 wrote:
I have got your point completely.Thanks for giving your time!
one thing i need to get clarify is Why we are taking X-1 always instead for any series X+1 for consecutive integers is also possible or not?

Not sure understand your question: where are we taking x-1 consecutive integers? Can you please elaborate?
_________________
Director
Status: My Thread Master Bschool Threads-->Krannert(Purdue),WP Carey(Arizona),Foster(Uwashngton)
Joined: 28 Jun 2011
Posts: 894
Followers: 83

Kudos [?]: 212 [0], given: 57

Re: If x>1, what is the value of integer x? [#permalink]

### Show Tags

08 Jun 2013, 09:19
Current Student
Joined: 29 May 2013
Posts: 24
Concentration: Marketing, Entrepreneurship
Schools: Molson '17 (M)
GMAT Date: 08-20-2014
GPA: 3.34
Followers: 0

Kudos [?]: 20 [0], given: 8

Re: MGmat Question [#permalink]

### Show Tags

01 May 2014, 21:07
kanusha wrote:
If x > 1, what is the value ofinteger x?

(1) There are x unique factors of x
(2) The sum of x and any prime number larger than x is odd.

What i Understood was If an Integer x >1 Should have x unique factors
Ex if the integer is 12 its Unique factors are 1, 2, 3, 4, 6, 12

Can any One pls Explain What the statment 1 Mean??

Pls reply

Hey,

When they say there are x unique factors of x try substituting values for x.
As x> 1 , suppose x= 5 There ARE NOT 5 unique factors of 5. (There are just 2:- 1,5) .Try substituting different numbers, u will realize that the only possible case is when
x=1 and x =2 .[1 has 1 unique factor(1), 2 has 2 unique factors (1,2)]
Question stem says that x > 1 , thus x= 2. Sufficient.

Statement 2 is insufficient as x could be 2/4/6 etc.

Answer :-A
Hope it helps.
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 12245
Followers: 542

Kudos [?]: 151 [0], given: 0

Re: If x>1, what is the value of integer x? [#permalink]

### Show Tags

23 Jun 2015, 23:22
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>1, what is the value of integer x?   [#permalink] 23 Jun 2015, 23:22
Similar topics Replies Last post
Similar
Topics:
3 If x is an integer, is |x|>1. 6 27 Apr 2012, 16:14
2 If x > 1, what is the value of x? 7 02 Jun 2011, 18:35
6 If x > 1, what is the value of integer x? 13 18 Mar 2011, 14:07
13 If x is an integer, is |x| > 1? 12 06 Aug 2010, 15:53
4 If x is an integer, is |x|>1? 5 24 May 2010, 17:20
Display posts from previous: Sort by

# If x>1, what is the value of integer 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®.