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555-605 (Medium)|   Word Problems|         
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If a certain grove consists of 36 pecan trees, what was the Updated on: 08 May 2015, 08:44
Originally posted by ashiima on 29 Nov 2011, 20:03.
Last edited by Bunuel on 08 May 2015, 08:44, edited 1 time in total.
RENAMED THE TOPIC.
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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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E
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If a certain grove consists of 36 pecan trees, what was the 17 Oct 2013, 00:11
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jrzayev001
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.
Show more

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 12659 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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If a certain grove consists of 36 pecan trees, what was the 25 Nov 2022, 22:40
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Good question! logic + solving.
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If a certain grove consists of 36 pecan trees, what was the 30 Jan 2023, 23:12
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KarishmaB
jrzayev001
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

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)
Show more

KarishmaB

I marked C as it seemed to me that we have been given info on 100% of the trees and therefore we're able to calculate the yield per tree.

So here's my question: the statements clearly split the grove into two halfs, so I'm not sure why do we need to assume 4 quadrants. In which case, why are we not assuming 8 or 16 quadrants?
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If a certain grove consists of 36 pecan trees, what was the 31 Jan 2023, 00:07
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achloes
KarishmaB
jrzayev001
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

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)

KarishmaB

I marked C as it seemed to me that we have been given info on 100% of the trees and therefore we're able to calculate the yield per tree.

So here's my question: the statements clearly split the grove into two halfs, so I'm not sure why do we need to assume 4 quadrants. In which case, why are we not assuming 8 or 16 quadrants?
Show more

We can cut the grove into as many sections as we wish.

But when they talk about the Northern half, what is left? The southern half is left. So they have split the grove into two - northern half and southern half.

When we talk about the eastern half, what is left? The western half. So they have split the grove into two halves again but in a different way this time.

When we are given information about the northern half and the eastern half, we know for sure that we are not given anything about the south west part.
We know nothing about the trees that belong to the south-west part and to show that easily, we have split the grove into 4.
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If a certain grove consists of 36 pecan trees, what was the 19 Jul 2025, 12:37
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