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Re: GMAT Diagnostic Test Question 4 [#permalink]
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...

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...

Re: GMAT Diagnostic Test Question 4 [#permalink]
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.

Re: GMAT Diagnostic Test Question 4 [#permalink]
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.

Re: GMAT Diagnostic Test Question 4 [#permalink]
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.

Re: GMAT Diagnostic Test Question 4 [#permalink]
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.

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

Re: GMAT Diagnostic Test Question 4 [#permalink]
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.

(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.