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If a certain grove consists of 36 pecan trees, what was the

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If a certain grove consists of 36 pecan trees, what was the yield per tree last year?

(1) The yield per tree for the 18 trees in the northern half of the grove was 60 kilograms last year.
(2) The yield per tree for the 18 trees in the eastern half of the grove was 55 kilograms last year.
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Last edited by Bunuel on 08 May 2015, 07:44, edited 1 time in total.
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Re: If a certain grove consists of 36 pecan trees, what was the yield per [#permalink]

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New post 05 Dec 2011, 08:02
I also go with E. the south west corner is missing
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If a certain grove consists of 36 pecan trees, what was the [#permalink]

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If a certain grove consists of 36 pecan trees, what was the yield per tree last year?

(1) The yield per tree for the 18 trees in the northern half of the grove was 60 kilograms last year.

(2) The yield per tree for the 18 trees in the eastern half of the grove was 55 kilograms last year.

Last edited by Bunuel on 17 Oct 2013, 01:33, edited 1 time in total.
Renamed the topic and edited the question.
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Re: If a certain grove consists of 36 pecan trees - DS [#permalink]

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New post 16 Oct 2013, 23:11
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jrzayev001 wrote:
If a certain grove consists of 36 pecan trees, what was the yield per tree last year?

(1) The yield per tree for the 18 trees in the northern
half of the grove was 60 kilograms last year.

(2) The yield per tree for the 18 trees in the eastern
half of the grove was 55 kilograms last year.


So the grove is split two ways into Northern half-Southern half and Western half-Eastern half. Think of a circle split horizontally into 2 parts and also vertically into two parts.
Using both statements, we know that there are 18 trees in the northern half so there must be 18 in the southern half. We also know that there are 18 trees in the eastern half and so there must be 18 in the western half.
For ease, let's assume each quadrant has 9 trees.
Attachment:
Ques3.jpg
Ques3.jpg [ 11.02 KiB | Viewed 1558 times ]


The average yield in the northern half is 60 and average yield in the eastern half is 55. Note that 9 trees (in red) overlap in northern and eastern halves. We have no idea about the yield of the south west quadrant. Hence this is certainly not sufficient. Also, we don't know how many trees actually overlap and the yield of those trees.

Answer (E)
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Re: If a certain grove consists of 36 pecan trees, what was the [#permalink]

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New post 22 Dec 2014, 07:40
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Re: If a certain grove consists of 36 pecan trees, what was the [#permalink]

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New post 12 Jan 2016, 09:05
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Re: If a certain grove consists of 36 pecan trees, what was the yield per [#permalink]

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New post 21 Aug 2016, 17:15
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Re: If a certain grove consists of 36 pecan trees, what was the yield per [#permalink]

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New post 07 Oct 2016, 13:22
can someone explain why? and if the southwest corner was given how would we have calculated the yield.
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Re: If a certain grove consists of 36 pecan trees, what was the yield per [#permalink]

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New post 07 Oct 2016, 19:36
I think the OA is incorrect and that it should be C.

This is a weighted average question, and we can calculate the yield per tree for the 36 trees when (1) and (2) are combined. The simple reason is that the two regions are distinct and together account for all 36 pecan trees.

(1/2)*60+(1/2)*55 = 57.5

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Re: If a certain grove consists of 36 pecan trees, what was the [#permalink]

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New post 08 Oct 2016, 01:53
Reinfrank2011 wrote:
I think the OA is incorrect and that it should be C.

This is a weighted average question, and we can calculate the yield per tree for the 36 trees when (1) and (2) are combined. The simple reason is that the two regions are distinct and together account for all 36 pecan trees.

(1/2)*60+(1/2)*55 = 57.5

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The correct answer is E. Check here: if-a-certain-grove-consists-of-36-pecan-trees-what-was-the-161752.html#p1279526
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Re: If a certain grove consists of 36 pecan trees, what was the   [#permalink] 08 Oct 2016, 01:53
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