It is currently 23 Nov 2017, 11:54

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If x is an integer, what is the value of x?

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

Hide Tags

1 KUDOS received
Current Student
User avatar
Joined: 06 Sep 2013
Posts: 1970

Kudos [?]: 745 [1], given: 355

Concentration: Finance
GMAT ToolKit User
If x is an integer, what is the value of x? [#permalink]

Show Tags

New post 18 Sep 2013, 15:38
1
This post received
KUDOS
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

72% (00:58) correct 28% (00:55) wrong based on 96 sessions

HideShow timer Statistics

If x is an integer, what is the value of x?

(1) \(\frac{1}{5}<\frac{1}{x+1}<\frac{1}{2}\)
(2) (x-3)(x-4)=0
[Reveal] Spoiler: OA

Last edited by Bunuel on 18 Sep 2013, 15:45, edited 1 time in total.
Edited the question.

Kudos [?]: 745 [1], given: 355

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42339

Kudos [?]: 133134 [0], given: 12415

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

Show Tags

New post 18 Sep 2013, 15:48
If x is an integer, what is the value of x?

(1) \(\frac{1}{5}<\frac{1}{x+1}<\frac{1}{2}\). Since x is an integer, the x+1=4 or x+1=3, from which it follows that x=3 or x=2. Not sufficient.

(2) (x-3)(x-4)=0 --> x=3 or x=4. Not sufficient.

(1)+(2) Common value is x=3. Sufficient.

Answer: C.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 133134 [0], given: 12415

Intern
Intern
User avatar
Joined: 18 Dec 2013
Posts: 34

Kudos [?]: 28 [0], given: 98

Location: Canada
GPA: 2.84
WE: Project Management (Telecommunications)
GMAT ToolKit User
If x is an integer, what is the value of x? [#permalink]

Show Tags

New post 30 Oct 2014, 16:25
If x is an integer, what is the value of x?

(1) \(\frac{1}{5}<\frac{1}{x+1}<\frac{1}{2}\)

(2) \((x-3) (x-4) = 0\)

Source: New Oriental Education and technology group

Kudos [?]: 28 [0], given: 98

Manager
Manager
User avatar
B
Joined: 22 Jan 2014
Posts: 141

Kudos [?]: 77 [0], given: 145

WE: Project Management (Computer Hardware)
Re: If x is an integer, what is the value of x? [#permalink]

Show Tags

New post 30 Oct 2014, 22:35
dmmk wrote:
If x is an integer, what is the value of x?

(1) \(\frac{1}{5}<\frac{1}{x+1}<\frac{1}{2}\)

(2) \((x-3) (x-4) = 0\)

Source: New Oriental Education and technology group


C.

1) 1/5 < 1/(x+1) < 1/2
or 2 < (x+1) < 5
or 1 < x < 4
x = 2 or 3
insufficient.

2) (x-3)(x-4) = 0
x=3 or 4
insufficient.

(1)+(2) --> x = 3
sufficient.
_________________

Illegitimi non carborundum.

Kudos [?]: 77 [0], given: 145

Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42339

Kudos [?]: 133134 [1], given: 12415

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

Show Tags

New post 31 Oct 2014, 03:48
1
This post received
KUDOS
Expert's post

Kudos [?]: 133134 [1], given: 12415

Manager
Manager
avatar
Joined: 31 Jul 2014
Posts: 147

Kudos [?]: 57 [0], given: 373

GMAT 1: 630 Q48 V29
Re: If x is an integer, what is the value of x? [#permalink]

Show Tags

New post 07 Nov 2014, 05:34
thefibonacci wrote:
dmmk wrote:
If x is an integer, what is the value of x?

(1) \(\frac{1}{5}<\frac{1}{x+1}<\frac{1}{2}\)

(2) \((x-3) (x-4) = 0\)

Source: New Oriental Education and technology group


C.

1) 1/5 < 1/(x+1) < 1/2
or 2 < (x+1) < 5
or 1 < x < 4
x = 2 or 3
insufficient.

2) (x-3)(x-4) = 0
x=3 or 4
insufficient.

(1)+(2) --> x = 3
sufficient.



1/5 < 1/(x+1) < 1/2
or 2 < (x+1) < 5

How do you get this? Could you please explain

Kudos [?]: 57 [0], given: 373

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42339

Kudos [?]: 133134 [0], given: 12415

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

Show Tags

New post 07 Nov 2014, 06:33
anupamadw wrote:
thefibonacci wrote:
dmmk wrote:
If x is an integer, what is the value of x?

(1) \(\frac{1}{5}<\frac{1}{x+1}<\frac{1}{2}\)

(2) \((x-3) (x-4) = 0\)

Source: New Oriental Education and technology group


C.

1) 1/5 < 1/(x+1) < 1/2
or 2 < (x+1) < 5
or 1 < x < 4
x = 2 or 3
insufficient.

2) (x-3)(x-4) = 0
x=3 or 4
insufficient.

(1)+(2) --> x = 3
sufficient.



1/5 < 1/(x+1) < 1/2
or 2 < (x+1) < 5

How do you get this? Could you please explain


From 1/5 < 1/(x+1) we know that x+1 must be positive so, we can cross-multiply to get x+1 < 5. The same way from 1/(x+1) < 1/2 we get 2 < x+1. Therefore 2 < x+1 < 5.

Hope it's clear.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 133134 [0], given: 12415

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42339

Kudos [?]: 133134 [0], given: 12415

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

Show Tags

New post 08 Oct 2015, 07:47

Kudos [?]: 133134 [0], given: 12415

Director
Director
User avatar
Joined: 10 Mar 2013
Posts: 591

Kudos [?]: 480 [0], given: 200

Location: Germany
Concentration: Finance, Entrepreneurship
GMAT 1: 580 Q46 V24
GPA: 3.88
WE: Information Technology (Consulting)
GMAT ToolKit User
Re: If x is an integer, what is the value of x? [#permalink]

Show Tags

New post 08 Oct 2015, 10:08
Bunuel wrote:
If x is an integer, what is the value of x?

(1) 1/5 < 1/(1 + x) < 1/2
(2) (x – 3)(x – 4) = 0


Kudos for a correct solution.


(1) from this expression we can say x must be +ve -> 5>1+x>2 4>x>1 NOT Sufficient as x could be 2 or 3
(2) x=3 or 4 Not Sufficient
(1+2) X=3 Answer (C)
_________________

When you’re up, your friends know who you are. When you’re down, you know who your friends are.

Share some Kudos, if my posts help you. Thank you !

800Score ONLY QUANT CAT1 51, CAT2 50, CAT3 50
GMAT PREP 670
MGMAT CAT 630
KAPLAN CAT 660

Kudos [?]: 480 [0], given: 200

Expert Post
SVP
SVP
User avatar
G
Joined: 08 Jul 2010
Posts: 1851

Kudos [?]: 2354 [0], given: 51

Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
Re: If x is an integer, what is the value of x? [#permalink]

Show Tags

New post 08 Oct 2015, 10:51
Bunuel wrote:
If x is an integer, what is the value of x?

(1) 1/5 < 1/(1 + x) < 1/2
(2) (x – 3)(x – 4) = 0


Kudos for a correct solution.



Question : x = ?

Statement 1: 1/5 < 1/(1 + x) < 1/2
i.e. 1+x = 3 or 4
i.e. x = 2 or 3
NOT SUFFICIENT

Statement 2: (x – 3)(x – 4) = 0
i.e. x = 3 or x = 4
NOT SUFFICIENT

Combining the two statements
x = 3 is the only common solution

Answer: Option C
_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Kudos [?]: 2354 [0], given: 51

Manager
Manager
avatar
S
Joined: 13 Mar 2013
Posts: 179

Kudos [?]: 75 [0], given: 25

Location: United States
Concentration: Leadership, Technology
GPA: 3.5
WE: Engineering (Telecommunications)
Re: If x is an integer, what is the value of x? [#permalink]

Show Tags

New post 08 Oct 2015, 21:24
If x is an integer, what is the value of x?

(1) 1/5 < 1/(1 + x) < 1/2
(2) (x – 3)(x – 4) = 0


Kudos for a correct solution.

Hi Bunuel ,
If i am wrong at st 1 using the inequality .please correct me and show the correct approach for this kind of inequality .


St (1) 1/5 < 1/(1 + x) < 1/2

As x integer -- it can be positive and negative .

so we cant cross multiple and solve the the above st .

not sufficient .

St 2
(x – 3)(x – 4) = 0
So can x is either 3 or 4


Not sufficient


Together ---- putting the value of x = 3 or 4 from st 2 and putting them in st 1

1/5 < 1/(1 + x) < 1/2
x= 3
0.2 < 0.3 <0.5

x=4
0.2 < 0.25 < 0.5

Hence together not sufficient .

E ans
_________________

Regards ,

Kudos [?]: 75 [0], given: 25

1 KUDOS received
Manager
Manager
avatar
Status: tough ... ? Naaahhh !!!!
Joined: 08 Sep 2015
Posts: 66

Kudos [?]: 20 [1], given: 6

Location: India
Concentration: Marketing, Strategy
WE: Marketing (Computer Hardware)
GMAT ToolKit User
Re: If x is an integer, what is the value of x? [#permalink]

Show Tags

New post 08 Oct 2015, 22:53
1
This post received
KUDOS
(1) 1/5 < 1/(1 + x) < 1/2
From this statement, we can say 5>(1+x)>2, so x= 2 or 3....Insufficient

(2) (x – 3)(x – 4) = 0
x=3 or 4...Insufficient.

From both the statements...x=3. Hence, ans 'C'.

Kudos [?]: 20 [1], given: 6

Expert Post
SVP
SVP
User avatar
G
Joined: 08 Jul 2010
Posts: 1851

Kudos [?]: 2354 [0], given: 51

Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
Re: If x is an integer, what is the value of x? [#permalink]

Show Tags

New post 09 Oct 2015, 22:25
abhisheknandy08 wrote:
If x is an integer, what is the value of x?

(1) 1/5 < 1/(1 + x) < 1/2
(2) (x – 3)(x – 4) = 0


Kudos for a correct solution.

Hi Bunuel ,
If i am wrong at st 1 using the inequality .please correct me and show the correct approach for this kind of inequality .


St (1) 1/5 < 1/(1 + x) < 1/2

As x integer -- it can be positive and negative .

so we cant cross multiple and solve the the above st .

not sufficient .



The Highlighted statement is Incorrect because x can't be Negative for 1/5 < 1/(1 + x) < 1/2 to be true

for the above mentioned Inequation to be true

(x+1) must lie between 2 and 5

i.e. 2 < (x+1) < 5
i.e. 2-1 < (x) < 5-1
i.e. 1 < (x) < 4

I hope this helps!
_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Kudos [?]: 2354 [0], given: 51

1 KUDOS received
Manager
Manager
avatar
Joined: 02 Jul 2015
Posts: 109

Kudos [?]: 35 [1], given: 58

Schools: ISB '18
GMAT 1: 680 Q49 V33
Re: If x is an integer, what is the value of x? [#permalink]

Show Tags

New post 10 Oct 2015, 18:55
1
This post received
KUDOS
Answer is C.

1. is not sufficient as x can assume multiple values
2. x=3 or x=4. No unique value. Not Sufficient

1. and 2. sufficient. x=3

Kudos [?]: 35 [1], given: 58

Re: If x is an integer, what is the value of x?   [#permalink] 10 Oct 2015, 18:55
Display posts from previous: Sort by

If x is an integer, what is the value of x?

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


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

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®.