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Another OG question that is atleast a 600-700 level question

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Another OG question that is atleast a 600-700 level question

by hongwang9703 » Sun Nov 22, 2009 7:01 pm
If n is a positive integer and n^2 is divisible by 72, then the largest positive integer that much divide n is

6
12
24
36
48

could someone please explain how you get the answer because i do not understand the explanation provided by the OG...also what would u rate this question on dificulty.
i got utterly defeated by the gmat.
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by Abdulla » Sun Nov 22, 2009 8:10 pm
hongwang9703 wrote:If n is a positive integer and n^2 is divisible by 72, then the largest positive integer that much divide n is

6
12
24
36
48

could someone please explain how you get the answer because i do not understand the explanation provided by the OG...also what would u rate this question on dificulty.
Can you explain what does " that much divide n is " means ? so we can solve the problem..
Abdulla
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by heshamelaziry » Sun Nov 22, 2009 8:38 pm
IMO B (12) I think this is 550-580 question
Last edited by heshamelaziry on Sun Nov 22, 2009 8:59 pm, edited 2 times in total.
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by heshamelaziry » Sun Nov 22, 2009 8:39 pm
Abdulla wrote:
hongwang9703 wrote:If n is a positive integer and n^2 is divisible by 72, then the largest positive integer that much divide n is

6
12
24
36
48

could someone please explain how you get the answer because i do not understand the explanation provided by the OG...also what would u rate this question on dificulty.
Can you explain what does " that much divide n is " means ? so we can solve the problem..
I think it is a typo. It should be "that must divide n"
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by RoadtoIVY » Sun Nov 22, 2009 8:43 pm
Answer is 12:

here is how: factors of 72 are -- 6x6x2

so lowest value on n could be: 6x2 = 12
n^2 = 144 which is divisible by 72

so the largest which can divide n is 12. Hope it helps.
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by Abdulla » Sun Nov 22, 2009 10:32 pm
RoadtoIVY wrote:Answer is 12:

here is how: factors of 72 are -- 6x6x2

so lowest value on n could be: 6x2 = 12
n^2 = 144 which is divisible by 72

so the largest which can divide n is 12. Hope it helps.
I got the same answer, but want to make sure whether it's the correct question.

What's the OA?
Abdulla
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by papgust » Sun Nov 22, 2009 10:38 pm
This is already posted and discussed. Check Stuart's brilliant approach..!

https://www.beatthegmat.com/perfect-squa ... tml#191723

Many people repeatedly post questions that are already discussed in this forum. Everyone must find time to search the forum first before it is posted.
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by hongwang9703 » Mon Nov 23, 2009 5:03 pm
sorry for the typo and thank you for the advice. I totally forgot about search. yes Answer is 12
i got utterly defeated by the gmat.
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