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DS Test – 16 - Q7

Expert replies
by f2001290 » Sat May 26, 2007 9:45 am
7. 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.

OA is E. But I am surprised. It should be C. Any explanation..
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Source: — Data Sufficiency |

by sanju09 » Wed Jan 15, 2014 10:54 pm
f2001290 wrote:7. 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.

OA is E. But I am surprised. It should be C. Any explanation..
Statements have to be taken together without doubt; hence the answer could be C or E. Real trick is this hidden question, "Do the northern and the eastern halves of the grove have any trees COMMON or NOT?" Hence E.
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
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by Brent@GMATPrepNow » Thu Jan 16, 2014 7:16 am
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.

Sanjeev's explanation is perfect. I thought I'd add some images for any students who may prefer a visual explanation.

GOAL: Determine the yield for the ENTIRE grove.

Statement 1 tells us about the shaded trees shown here.
Image
Since there are trees we know nothing about, statement 1 is not sufficient.

Statement 2 tells us about the shaded trees shown here.
Image
Since there are trees we know nothing about, statement 2 is not sufficient.

The statements COMBINED could look something like this.
Image
Since it's still possible that we have no information about some trees, we can't answer the target question with any certainty.

Answer: E

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
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