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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

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...

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...

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.

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.

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.

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.

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

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.

(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.

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.