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Square of an integer square.GIF E

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msunny
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Square of an integer square.GIF E [#permalink] New post   18 Dec 2009, 15:30
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A
B
C
D
E

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Square of an integer

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E




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Re: Square of an integer square.GIF E [#permalink] New post   18 Dec 2009, 17:56
Answer E. Both statements together are not sufficient to answer the question.
For example:
a) 2*3*5*7 = 210
b) 2*3*5*7 = 210
Multiple 1 and 2 and we get a perfect square 44100
which is both divisible by 4 and divisible by exactly 4 prime numbers
while
c) 210 * 2 = 420
This is again divisble by 4 and exactly four different prime numbers and this is not a perfect square.
Therefore both statements are insufficient.
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Re: Square of an integer square.GIF E [#permalink] New post   18 Dec 2009, 22:13
s1) 20 is div by 4 but not a perfect square
s2) 2*3*5*7*2=420 div by 4 diff prime no. but not a perfect square

s1)+s2)=420 same not a perfect square

Hence E
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Re: Square of an integer square.GIF E [#permalink] New post   19 Dec 2009, 05:33
The question is of Data Sufficiency.
It is clearly asked

"Is k a perfect square ?"

@xcusemeplz2009
You say k is not a perfect sq. So the answer to the above question is no. So the conditions are sufficient to answer the question.

To prove that the condition (2) are insuff, please show a perfect square which fulfills (2). I cannot find a perfect sq which fulfills (2) and hence concluded that k is not a perfect square. So answered B.
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Re: Square of an integer square.GIF E [#permalink] New post   20 Dec 2009, 05:21
msunny wrote:
The question is of Data Sufficiency.
It is clearly asked

"Is k a perfect square ?"

@xcusemeplz2009
You say k is not a perfect sq. So the answer to the above question is no. So the conditions are sufficient to answer the question.

To prove that the condition (2) are insuff, please show a perfect square which fulfills (2). I cannot find a perfect sq which fulfills (2) and hence concluded that k is not a perfect square. So answered B.


i explained the no part the yes part is understood
if k= (2*3*5*7)^2
it satisfy the s2) and is a perfect sq
and 420 satisfy s2) and is not a perfect sq hence two ans and therfore not suff

HTH
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Re: Square of an integer square.GIF E [#permalink] New post   20 Dec 2009, 07:07
I understood from the question that a construction like

k= (2*3*5*7)^2

is not allowed in statement 2 as " it is divisible by four different prime numbers" and the k above repeats all the primes.



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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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Re: Square of an integer square.GIF E [#permalink]
20 Dec 2009, 07:07
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