It is currently 13 Dec 2017, 12:50

# Decision(s) Day!:

CHAT Rooms | Ross R1 | Kellogg R1 | Darden R1 | Tepper R1

### 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

# GMAT Diagnostic Test Question 4

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
CIO
Joined: 02 Oct 2007
Posts: 1216

Kudos [?]: 989 [0], given: 334

Re: GMAT Diagnostic Test Question 4 [#permalink]

### Show Tags

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!

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.

GMAT Club Premium Membership - big benefits and savings

Kudos [?]: 989 [0], given: 334

Intern
Joined: 14 Jan 2010
Posts: 12

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

Schools: University of Colorado
Re: GMAT Diagnostic Test Question 4 [#permalink]

### Show Tags

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...

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

CIO
Joined: 02 Oct 2007
Posts: 1216

Kudos [?]: 989 [0], given: 334

Re: GMAT Diagnostic Test Question 4 [#permalink]

### Show Tags

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...

_________________

Welcome to GMAT Club!

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.

GMAT Club Premium Membership - big benefits and savings

Kudos [?]: 989 [0], given: 334

Intern
Joined: 29 Sep 2010
Posts: 6

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

Re: GMAT Diagnostic Test Question 4 [#permalink]

### Show Tags

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

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

Math Expert
Joined: 02 Sep 2009
Posts: 42583

Kudos [?]: 135532 [0], given: 12697

Re: GMAT Diagnostic Test Question 4 [#permalink]

### Show Tags

02 Dec 2010, 05:22
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.

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

Hope it helps.
_________________

Kudos [?]: 135532 [0], given: 12697

Intern
Joined: 23 Nov 2005
Posts: 3

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

Re: GMAT Diagnostic Test Question 4 [#permalink]

### Show Tags

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.

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

Intern
Joined: 19 Nov 2010
Posts: 1

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

Re: GMAT Diagnostic Test Question 4 [#permalink]

### Show Tags

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.

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

Intern
Joined: 27 Sep 2011
Posts: 2

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

Re: GMAT Diagnostic Test Question 4 [#permalink]

### Show Tags

27 Sep 2011, 16:29
how did you guys get that X! < 5? Does not being divisible by 5 make it smaller than it ?

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

Intern
Joined: 24 May 2010
Posts: 46

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

Re: GMAT Diagnostic Test Question 4 [#permalink]

### Show Tags

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

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

Intern
Joined: 24 May 2010
Posts: 46

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

Re: GMAT Diagnostic Test Question 4 [#permalink]

### Show Tags

04 Oct 2011, 03:14
^^ I got the second statement wrong.... understood the explanation from the other posts...

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

Manager
Status: MBA Aspirant
Joined: 12 Jun 2010
Posts: 171

Kudos [?]: 106 [0], given: 1

Location: India
Concentration: Finance, International Business
WE: Information Technology (Investment Banking)
Re: GMAT Diagnostic Test Question 4 [#permalink]

### Show Tags

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.

Kudos [?]: 106 [0], given: 1

Intern
Joined: 12 Apr 2012
Posts: 2

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

Re: GMAT Diagnostic Test Question 4 [#permalink]

### Show Tags

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

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

Intern
Status: Preparing for GMAT
Joined: 19 Sep 2012
Posts: 19

Kudos [?]: 10 [0], given: 8

Location: India
GMAT Date: 01-31-2013
WE: Information Technology (Computer Software)
Re: GMAT Diagnostic Test Question 4 [#permalink]

### Show Tags

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.

Kudos [?]: 10 [0], given: 8

Intern
Status: Fighting to kill GMAT
Joined: 23 Sep 2012
Posts: 33

Kudos [?]: 20 [0], given: 233

Location: United States
Concentration: International Business, General Management
Schools: Duke '16
GPA: 3.8
WE: General Management (Other)
Re: GMAT Diagnostic Test Question 4 [#permalink]

### Show Tags

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.

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

Kudos [?]: 20 [0], given: 233

Math Expert
Joined: 02 Sep 2009
Posts: 42583

Kudos [?]: 135532 [0], given: 12697

Re: GMAT Diagnostic Test Question 4 [#permalink]

### Show Tags

07 Nov 2012, 04:23
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.

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.
_________________

Kudos [?]: 135532 [0], given: 12697

Intern
Joined: 31 Aug 2013
Posts: 15

Kudos [?]: 2 [0], given: 1

Re: GMAT Diagnostic Test Question 4 [#permalink]

### Show Tags

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.

Kudos [?]: 2 [0], given: 1

Intern
Joined: 23 Mar 2014
Posts: 3

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

Re: GMAT Diagnostic Test Question 4 [#permalink]

### Show Tags

09 Apr 2014, 05:34
Am I the only one who cant see the answer options?

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

Math Expert
Joined: 02 Sep 2009
Posts: 42583

Kudos [?]: 135532 [0], given: 12697

Re: GMAT Diagnostic Test Question 4 [#permalink]

### Show Tags

09 Apr 2014, 05:43
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.
_________________

Kudos [?]: 135532 [0], given: 12697

Re: GMAT Diagnostic Test Question 4   [#permalink] 09 Apr 2014, 05:43

Go to page   Previous    1   2   [ 38 posts ]

Display posts from previous: Sort by

# GMAT Diagnostic Test Question 4

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

Moderator: Bunuel

 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®.