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Oranges only...

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ketandoshi31
 Post subject: Oranges only...
 Post Posted: Fri Sep 24, 2010 1:28 pm 
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Students


Posts: 1
A number of oranges are to be distributed evenly among a number of baskets. Each basket will contain at least one orange. If there are 20 oranges to be distributed, what is the number of oranges per basket?

(1) If the number of baskets were halved and all other conditions remained the same, there would be twice as many oranges in every remaining basket.

(2) If the number of baskets were doubled, it would no longer be possible to place at least one orange in every basket.

I could not understand the explanation.....can somebody help...

Thanks
KD
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gokul_nair1984
 Post subject: Re: Oranges only...
 Post Posted: Fri Sep 24, 2010 2:56 pm 
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Posts: 170
ketandoshi31 wrote:
A number of oranges are to be distributed evenly among a number of baskets. Each basket will contain at least one orange. If there are 20 oranges to be distributed, what is the number of oranges per basket?


Number of Oranges=20( Given)
Thus, Number of baskets can be 1,2,4,5,10,20

According to Statement 1,
ketandoshi31 wrote:
(1) If the number of baskets were halved and all other conditions remained the same, there would be twice as many oranges in every remaining basket.


Number of Oranges=20
Number of Baskets could be 1,2,5,10(* You cannot halve odd nubers here because basket has to be a natural number)
So , number of Oranges/Basket could be 20,10,4 or 2.
Hence A is insufficient

According to Statement 2,
ketandoshi31 wrote:
(2) If the number of baskets were doubled, it would no longer be possible to place at least one orange in every basket.


Number of baskets can only be 20 in this case because the question stem says that there has to be atleast 1 orange/basket.

In line with Statement 2, if we double it, the number of baskets will be 40 and hence there won't be atleast one orange/basket.
So number of baskets has to be 20 and that means 1orange/basket.

Hence B is sufficient.

-----Hope this helps
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odonnelle22
 Post subject: Re: Oranges only...
 Post Posted: Mon Oct 04, 2010 8:23 pm 
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"A number of oranges are to be distributed evenly among a number of baskets."

Are we supposed to assume that there can't be any oranges left over after you distribute them evenly over a certain number of baskets?

From the answer given we clearly are, but I'm wondering if this is something I can actually assume from the question - that it's not a trick - that maybe each basket got 2 but then there were 4 left over.

I worry about making these kind of assumptions!

Thanks.
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gokul_nair1984
 Post subject: Re: Oranges only...
 Post Posted: Tue Oct 05, 2010 3:19 am 
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Posts: 170
gokul_nair1984 wrote:
Are we supposed to assume that there can't be any oranges left over after you distribute them evenly over a certain number of baskets?


Yes, that is what evenly distributed means. Otherwise the question would have indicated some leftovers.
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tim
 Post subject: Re: Oranges only...
 Post Posted: Fri Oct 08, 2010 1:09 am 
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Posts: 2242
Location: Southwest Airlines, seat 21C
Thanks, Gokul. Odonnelle, let us know if you have any further questions..

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Tim Sanders
Manhattan GMAT Instructor
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naraenk
 Post subject: Re: Oranges only...
 Post Posted: Mon May 07, 2012 8:37 am 
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Posts: 1
Hi,

I have a doubt regarding this question. I understand the explanation but on point 2, when 4 baskets are doubled it will not satisfy the evenly distributed rule mentioned in the question. Therefore, I chose E as the answer. It will be great if someone can explain what I'm missing.
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tim
 Post subject: Re: Oranges only...
 Post Posted: Wed May 23, 2012 5:33 am 
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Posts: 2242
Location: Southwest Airlines, seat 21C
the even distribution condition applies only to the original number of baskets. after the number of baskets is doubled, the only condition is that there are more baskets than oranges..

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Tim Sanders
Manhattan GMAT Instructor
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