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Re: GMAT Diagnostic Test Question 4 [#permalink]
 08 Apr 2010, 04:06
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Re: GMAT Diagnostic Test Question 4 [#permalink]
16 May 2010, 19:39
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.
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Re: GMAT Diagnostic Test Question 4 [#permalink]
17 May 2010, 07:44
Hi Rachel, Here's a comprehensive guide to absolute values: math-absolute-value-modulus-86462.htmlThe most important things to remember about |X|: |X| \ge 0|X| = |-X|Examples: |-3| = 3|3| = 3|0| = 0Good 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.
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Re: GMAT Diagnostic Test Question 4 [#permalink]
02 Dec 2010, 06:08
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
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Re: GMAT Diagnostic Test Question 4 [#permalink]
02 Dec 2010, 06:22
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. Answer: E. For absolute values check: math-absolute-value-modulus-86462.html ; For number theory check: math-number-theory-88376.htmlHope it helps.
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Re: GMAT Diagnostic Test Question 4 [#permalink]
16 May 2011, 22:23
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.
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Re: GMAT Diagnostic Test Question 4 [#permalink]
17 May 2011, 08:29
Well the question reads |X!| and not |X|! (check the pdf)
If a number has a factorial, it is positive.
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Re: GMAT Diagnostic Test Question 4 [#permalink]
27 Sep 2011, 17:29
how did you guys get that X! < 5? Does not being divisible by 5 make it smaller than it ? 
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Re: GMAT Diagnostic Test Question 4 [#permalink]
04 Oct 2011, 04:08
bb wrote: GMAT Diagnostic Test Question 4Field: Arithmetic, Factorial Difficulty: 650
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
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Re: GMAT Diagnostic Test Question 4 [#permalink]
04 Oct 2011, 04:14
^^ I got the second statement wrong....  understood the explanation from the other posts...
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Re: GMAT Diagnostic Test Question 4 [#permalink]
28 Oct 2011, 22:41
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.
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Re: GMAT Diagnostic Test Question 4 [#permalink]
26 Apr 2012, 23:39
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
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Re: GMAT Diagnostic Test Question 4 [#permalink]
19 Sep 2012, 22:17
both staements we can conclude that answer would be either 3 0r 4..so not sufficient E
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Re: GMAT Diagnostic Test Question 4 [#permalink]
07 Nov 2012, 02:08
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.htmlHope 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.
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Re: GMAT Diagnostic Test Question 4 [#permalink]
07 Nov 2012, 05:23
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. Answer: E. For absolute values check: math-absolute-value-modulus-86462.html ; For number theory check: math-number-theory-88376.htmlHope 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.
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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
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. NEW!!! ,11 Mixed Questions NEW!!!, 12 Fresh Meat NEW!!!
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. NEW!!!, 11 New DS set. NEW!!!
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Re: GMAT Diagnostic Test Question 4
[#permalink]
07 Nov 2012, 05:23
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