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Problem Solving-PS

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Sumit69 Senior | Next Rank: 100 Posts Default Avatar
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Problem Solving-PS

Post Sat Apr 07, 2007 11:57 pm
Is n and integer?

n3 is an integer
3\n is an integer


Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient.

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ajith Legendary Member
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Post Thu Apr 12, 2007 10:24 pm
Sumit69 wrote:
Is n and integer?

n3 is an integer
3\n is an integer


Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient.
1 is not sufficient
Take the case of 3n = 6 then n=2 ,n integer
take the case of 3n=7 then n=7/3 , a non integer

2 is not sufficient
take the case when 3/n=1 then n=3,integer
take the case when 3/n =2 then n=3/2, a non integer

now combining both

Consider n=1/3, a non integer, it satisfies both I and II
Consider n=1, an integer , it satisfies both I and II

So, n can be an integer or a non integer

So E it is !!!

_________________
Always borrow money from a pessimist, he doesn't expect to be paid back.

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gabriel Legendary Member
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Post Fri Apr 13, 2007 4:44 am
... yeah the answer seems to be E ... guyz sorry for the wrong answer.. Razz

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GMAT/MBA Expert

Post Sun Apr 08, 2007 12:00 am
Moved to Data Sufficiency section...

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Sumit69 Senior | Next Rank: 100 Posts Default Avatar
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Post Sun Apr 08, 2007 6:42 am
Please let me know the answer for this? Smile

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gabriel Legendary Member
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Post Sun Apr 08, 2007 12:53 pm
Sumit69 wrote:
Is n and integer?

n3 is an integer
3\n is an integer


Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient.
the fist statement says that 3*n is a integer ... there are 2 possiblities first n is an integer = 6 .. in which case 3*n is an intger .. second n is of the form a/3 ( a is an integer ) .. in which case again 3*n is an integer .. so first is insufficient ...

the second statement says 3/n is an integer .. there are again 2 possiblities .. first n=1 in which case n is an intger and so is 3/n .. second n is of the form 3/b (b is an integer ) .. in which case 3/n = 3/(3/b) = b an intger .. so again there is no defnite value for n .. so insufficient

now combibng both the cases .. we can see that n is an intger .. so the answer is C

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RAGS Senior | Next Rank: 100 Posts Default Avatar
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Post Thu Apr 12, 2007 8:33 am
The ans is E
bcos lets take 1/3 as n both statements r satisfied

lets take 3 as n again both statements r satisfied

hence E

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