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01 Apr 2010, 07:16

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gmat-diagnostic-test-question-79332.html

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

The answer is C.
Doesnt 3 and 4 both satisfy condition 1 and 2. So ideally we dont have any firm answer.
3! and 4! are not divisible by 5 and are divisible by 6

Please advice.

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Re: Is X a prime integer? [#permalink]

01 Apr 2010, 07:59

rohitgoel15 wrote:

Sorry to open a new thread:
gmat-diagnostic-test-question-79332.html

Is X a prime integer?

(1) x! is not divisible by 5
(2) |x|! is divisible by 6
The answer is C.
Doesnt 3 and 4 both satisfy condition 1 and 2. So ideally we dont have any firm answer.
3! and 4! are not divisible by 5 and are divisible by 6

Please advice.

st 1) x can be 1,2,3,4. Not sufficient
st 2) |x| > 2 . Not sufficient

combinging, we get x = 3 or 4 .. not sufficient

E

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Re: Is X a prime integer? [#permalink]

02 Apr 2010, 17:05

I think it is A.because when x! isn't divisible by 5 so it must be 4! or 3! when it says that x is a prime number so it should be 3! so A is the answer.
Am I wrong?

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Re: Is X a prime integer? [#permalink]

02 Apr 2010, 17:11

sooorryy I made mistake

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Re: Is X a prime integer? [#permalink]

02 Apr 2010, 19:35

Statement 1 X<5 NS
Statement 2 X<=3 NS

Combined 3,4 satisfy it and 3 is a prime and 4 is not so NS

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Re: Is X a prime integer? [#permalink]

03 Apr 2010, 01:28

I am also getting "E" as the answer.

In OE, the statement 2 is summaized as x <= -3 or x >= 3.

I couldnt understand this. Why 4 is not considered?
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Re: Is X a prime integer? [#permalink]

21 Jun 2010, 21:38

Is X a prime integer?

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

Is factorial always an integer? can we have a non-integer factorial? Can factorial be negative? Someone please clarify....
if factorial is always an integer and positive, then
1. x=0,1,2,3,4
2. X=3,4,....

1+2
x=3,4 E

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Re: Is X a prime integer? [#permalink]

22 Jun 2010, 04:11

Yes, OA for this one is not correct.

Is x a prime integer?

(1) x! is not divisible by 5 --> x=0, 1, 2, 3, or 4. Not sufficient.
(2) |x|! is divisible by 6 --> |x|>2. Not sufficient.

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

Answer: E.
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Re: Is X a prime integer? [#permalink]

22 Jun 2010, 08:10

Thanks Bunuel for the detailed explanation

Re: Is X a prime integer? [#permalink] 22 Jun 2010, 08:10

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