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

It is currently 23 Oct 2014, 03:09

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

GMAT Diagnostic Test Question 4

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
CIO
CIO
avatar
Joined: 02 Oct 2007
Posts: 1218
Followers: 87

Kudos [?]: 691 [0], given: 334

GMAT ToolKit User
Re: GMAT Diagnostic Test Question 4 [#permalink] New post 08 Apr 2010, 03:06
Thank you guys! I've corrected the OE and OA both in the files and in the second post. +1 for both of you.
_________________

Welcome to GMAT Club! :)
Facebook TwitterGoogle+LinkedIn
Want to solve GMAT questions on the go? GMAT Club iPhone app will help.
Please read this before posting in GMAT Club Tests forum
Result correlation between real GMAT and GMAT Club Tests
Are GMAT Club Test sets ordered in any way?

Take 15 free tests with questions from GMAT Club, Knewton, Manhattan GMAT, and Veritas.

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Intern
Intern
User avatar
Joined: 14 Jan 2010
Posts: 12
Schools: University of Colorado
Followers: 0

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

Re: GMAT Diagnostic Test Question 4 [#permalink] New post 16 May 2010, 18:39
This question was hard but I think it makes sense now. And this might be a bonehead question, but when the [X] looks like this, what exactly is the significance to remember? Does it mean it can be both positive and negative? I'm slowly preparing for the math section....not trying to score off the charts just mediocre...

Thanks in advance.
CIO
CIO
avatar
Joined: 02 Oct 2007
Posts: 1218
Followers: 87

Kudos [?]: 691 [0], given: 334

GMAT ToolKit User
Re: GMAT Diagnostic Test Question 4 [#permalink] New post 17 May 2010, 06:44
Hi Rachel,

Here's a comprehensive guide to absolute values:
math-absolute-value-modulus-86462.html

The most important things to remember about |X|:

|X| \ge 0

|X| = |-X|

Examples:

|-3| = 3

|3| = 3

|0| = 0

Good luck with your GMAT!
Rachcu13 wrote:
This question was hard but I think it makes sense now. And this might be a bonehead question, but when the [X] looks like this, what exactly is the significance to remember? Does it mean it can be both positive and negative? I'm slowly preparing for the math section....not trying to score off the charts just mediocre...

Thanks in advance.

_________________

Welcome to GMAT Club! :)
Facebook TwitterGoogle+LinkedIn
Want to solve GMAT questions on the go? GMAT Club iPhone app will help.
Please read this before posting in GMAT Club Tests forum
Result correlation between real GMAT and GMAT Club Tests
Are GMAT Club Test sets ordered in any way?

Take 15 free tests with questions from GMAT Club, Knewton, Manhattan GMAT, and Veritas.

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Intern
Intern
avatar
Joined: 29 Sep 2010
Posts: 6
Followers: 0

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

Re: GMAT Diagnostic Test Question 4 [#permalink] New post 02 Dec 2010, 05:08
Statement 1 clearly states that X!< 5
i.e. X could be 1,2,3,4. So, it is alone insufficient.

But, I didn't understand II statement.
(2) l x l is divisible by 6

can anyone please explain me the concept. And also if possible the concept of absolute value.

Regards,

G
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23393
Followers: 3607

Kudos [?]: 28818 [0], given: 2852

Re: GMAT Diagnostic Test Question 4 [#permalink] New post 02 Dec 2010, 05:22
Expert's post
girindra wrote:
Statement 1 clearly states that X!< 5
i.e. X could be 1,2,3,4. So, it is alone insufficient.

But, I didn't understand II statement.
(2) l x l is divisible by 6

can anyone please explain me the concept. And also if possible the concept of absolute value.

Regards,

G


Is x a prime integer?

(1) x! is not divisible by 5 --> x=0 (note that 0!=1), 1, 2, 3, or 4. Not sufficient.
(2) |x|! is divisible by 6 --> |x|>2 (if x is an integer more than or equal to 3, than (|x|)! will be divisible by 6, also if x is less than or equal to -3, then (|x|)! will be divisible by 6). Not sufficient.

(1)+(2) x=3 (prime) or x=4 (not prime). Not sufficient.

Answer: E.

For absolute values check: math-absolute-value-modulus-86462.html ;
For number theory check: math-number-theory-88376.html

Hope it helps.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Intern
Intern
avatar
Joined: 23 Nov 2005
Posts: 3
Followers: 0

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

Re: GMAT Diagnostic Test Question 4 [#permalink] New post 16 May 2011, 21:23
I have an issue with the way |X!| is interpreted. Since it is the absolute value of the factorial, and factorial is not defined for negative values hence, possible values of X in (2) could only be positive 3 or 4.

we can consider -3 or -4 only if it's written as |x|!


In any case, even if corrected, E would still be the answer.
Intern
Intern
avatar
Joined: 19 Nov 2010
Posts: 1
Followers: 0

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

Re: GMAT Diagnostic Test Question 4 [#permalink] New post 17 May 2011, 07:29
Well the question reads |X!| and not |X|! (check the pdf)

If a number has a factorial, it is positive.
Intern
Intern
avatar
Joined: 27 Sep 2011
Posts: 2
Followers: 0

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

Re: GMAT Diagnostic Test Question 4 [#permalink] New post 27 Sep 2011, 16:29
how did you guys get that X! < 5? Does not being divisible by 5 make it smaller than it ? :oops:
Intern
Intern
avatar
Joined: 24 May 2010
Posts: 46
Followers: 0

Kudos [?]: 5 [0], given: 6

Re: GMAT Diagnostic Test Question 4 [#permalink] New post 04 Oct 2011, 03:08
bb wrote:
GMAT Diagnostic Test Question 4
Field: Arithmetic, Factorial
Difficulty: 650
Rating:



Is X a prime integer?

(1) x! is not divisible by 5
(2) |x|! is divisible by 6

A. Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
B. Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
D. EACH statement ALONE is sufficient
E. Statements (1) and (2) TOGETHER are NOT sufficient


St 1: X! not divisible by 5. so X is less than 5. It could be 1, 2, 3, 4. not sufficient

St 2: X! is divisible by 6. which means X is at least divisible by 1, 2, 3, and 6. So, it is not a prime. Sufficient.

So, my pick is B
Intern
Intern
avatar
Joined: 24 May 2010
Posts: 46
Followers: 0

Kudos [?]: 5 [0], given: 6

Re: GMAT Diagnostic Test Question 4 [#permalink] New post 04 Oct 2011, 03:14
^^ I got the second statement wrong....:( understood the explanation from the other posts...
Manager
Manager
avatar
Status: MBA Aspirant
Joined: 12 Jun 2010
Posts: 178
Location: India
Concentration: Finance, International Business
WE: Information Technology (Investment Banking)
Followers: 3

Kudos [?]: 22 [0], given: 1

Re: GMAT Diagnostic Test Question 4 [#permalink] New post 28 Oct 2011, 21:41
Ans E

From 1=> options come out to be 1,2,3,4

From 2=> options come out to be 3,4,......

Using both => 3,4

So E.
Intern
Intern
avatar
Joined: 12 Apr 2012
Posts: 2
Followers: 0

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

Re: GMAT Diagnostic Test Question 4 [#permalink] New post 26 Apr 2012, 22:39
Ans: E

From 1=> options come out to be 1,2,3,4 hence, x can be a prime number or not a prime number (4 for eg.)

From 2=> options come out to be 3 (prime) ,4 (not prime),......

Hence Ans. is E
Intern
Intern
avatar
Status: Preparing for GMAT
Joined: 19 Sep 2012
Posts: 19
Location: India
GMAT Date: 01-31-2013
WE: Information Technology (Computer Software)
Followers: 1

Kudos [?]: 9 [0], given: 8

Re: GMAT Diagnostic Test Question 4 [#permalink] New post 19 Sep 2012, 21:17
both staements we can conclude that answer would be either 3 0r 4..so not sufficient E
_________________

Rajeev Nambyar
Chennai, India.

Intern
Intern
avatar
Status: Fighting to kill GMAT
Joined: 23 Sep 2012
Posts: 33
Location: United States
Concentration: International Business, General Management
Schools: Duke '16
GPA: 3.8
WE: General Management (Other)
Followers: 0

Kudos [?]: 11 [0], given: 233

Re: GMAT Diagnostic Test Question 4 [#permalink] New post 07 Nov 2012, 01:08
Bunuel wrote:
girindra wrote:
Statement 1 clearly states that X!< 5
i.e. X could be 1,2,3,4. So, it is alone insufficient.

But, I didn't understand II statement.
(2) l x l is divisible by 6

can anyone please explain me the concept. And also if possible the concept of absolute value.

Regards,

G


Is x a prime integer?

(1) x! is not divisible by 5 --> x=0 (note that 0!=1), 1, 2, 3, or 4. Not sufficient.
(2) |x|! is divisible by 6 --> |x|>2 (if x is an integer more than or equal to 3, than (|x|)! will be divisible by 6, also if x is less than or equal to -3, then (|x|)! will be divisible by 6). Not sufficient.

(1)+(2) x=3 (prime) or x=4 (not prime). Not sufficient.

Answer: E.

For absolute values check: math-absolute-value-modulus-86462.html ;
For number theory check: math-number-theory-88376.html

Hope it helps.


Bunuel, aren't |0| !, |1| ! and |2| ! all divisible by 6 as well? Though this fact does not affect the answer here, it can affect at other times. You explain it here too: http://gmatclub.com/forum/if-n-is-a-positive-integer-is-n-3-n-divisible-by-109941.html#p1075285.
_________________

Kudos is the currency of appreciation.



You can have anything you want if you want it badly enough. You can be anything you want to be and do anything you set out to accomplish, if you hold to that desire with the singleness of purpose. ~William Adams

Many of life's failures are people who did not realize how close to success they were when they gave up. ~Thomas A. Edison

Wir müssen wissen, Wir werden wissen. (We must know, we will know.) ~Hilbert

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23393
Followers: 3607

Kudos [?]: 28818 [0], given: 2852

Re: GMAT Diagnostic Test Question 4 [#permalink] New post 07 Nov 2012, 04:23
Expert's post
closed271 wrote:
Bunuel wrote:
girindra wrote:
Statement 1 clearly states that X!< 5
i.e. X could be 1,2,3,4. So, it is alone insufficient.

But, I didn't understand II statement.
(2) l x l is divisible by 6

can anyone please explain me the concept. And also if possible the concept of absolute value.

Regards,

G


Is x a prime integer?

(1) x! is not divisible by 5 --> x=0 (note that 0!=1), 1, 2, 3, or 4. Not sufficient.
(2) |x|! is divisible by 6 --> |x|>2 (if x is an integer more than or equal to 3, than (|x|)! will be divisible by 6, also if x is less than or equal to -3, then (|x|)! will be divisible by 6). Not sufficient.

(1)+(2) x=3 (prime) or x=4 (not prime). Not sufficient.

Answer: E.

For absolute values check: math-absolute-value-modulus-86462.html ;
For number theory check: math-number-theory-88376.html

Hope it helps.


Bunuel, aren't |0| !, |1| ! and |2| ! all divisible by 6 as well? Though this fact does not affect the answer here, it can affect at other times. You explain it here too: http://gmatclub.com/forum/if-n-is-a-positive-integer-is-n-3-n-divisible-by-109941.html#p1075285.


No.
|0|! = 0! = 1;
|1|! = 1! = 1;
|2|! = 2! = 2.
Neither of them is divisible by 6.

Hope it's clear.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Intern
Intern
avatar
Joined: 31 Aug 2013
Posts: 15
Followers: 0

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

Re: GMAT Diagnostic Test Question 4 [#permalink] New post 04 Oct 2013, 02:52
bb wrote:
GMAT Diagnostic Test Question 4
Field: Arithmetic, absolute values
Difficulty: 650


Is x a prime number?

(1) |x|=2
(2) x^2=4



(1) x! is not divisible by 5 --> x=0 (note that 0!=1), 1, 2, 3, or 4. Not sufficient.
(2) |x|! is divisible by 6 --> |x|>2 (if x is an integer more than or equal to 3, than (|x|)! will be divisible by 6, also if x is less than or equal to -3, then (|x|)! will be divisible by 6). Not sufficient.

(1)+(2) x=3 (prime) or x=4 (not prime). Not sufficient.

Answer: E.
Intern
Intern
avatar
Joined: 23 Mar 2014
Posts: 2
Followers: 0

Kudos [?]: 0 [0], given: 5

Re: GMAT Diagnostic Test Question 4 [#permalink] New post 09 Apr 2014, 05:34
Am I the only one who cant see the answer options?
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23393
Followers: 3607

Kudos [?]: 28818 [0], given: 2852

Re: GMAT Diagnostic Test Question 4 [#permalink] New post 09 Apr 2014, 05:43
Expert's post
gayanep wrote:
Am I the only one who cant see the answer options?


This is a data sufficiency question. Options for DS questions are always the same.

The data sufficiency problem consists of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements, plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of the word counterclockwise), you must indicate whether—

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
C. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
D. EACH statement ALONE is sufficient to answer the question asked.
E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

I suggest you to go through the following post ALL YOU NEED FOR QUANT.

Hope this helps.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Re: GMAT Diagnostic Test Question 4   [#permalink] 09 Apr 2014, 05:43
    Similar topics Author Replies Last post
Similar
Topics:
8 Experts publish their posts in the topic GMAT Diagnostic Test Question 6 bb 30 06 Jun 2009, 20:39
23 Experts publish their posts in the topic GMAT Diagnostic Test Question 5 bb 26 06 Jun 2009, 20:07
14 Experts publish their posts in the topic GMAT Diagnostic Test Question 3 bb 33 06 Jun 2009, 18:33
8 Experts publish their posts in the topic GMAT Diagnostic Test Question 2 bb 26 06 Jun 2009, 18:03
27 Experts publish their posts in the topic GMAT Diagnostic Test Question 1 bb 30 05 Jun 2009, 21:30
Display posts from previous: Sort by

GMAT Diagnostic Test Question 4

  Question banks Downloads My Bookmarks Reviews Important topics  

Go to page   Previous    1   2   [ 38 posts ] 

Moderators: WoundedTiger, Bunuel



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

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®.