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If a total of 30 puppies is displayed in the two windows of

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by BTGmoderatorDC » Mon Jun 03, 2019 7:51 pm

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Answers

A

B

C

D

E

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Difficulty—

If a total of 30 puppies is displayed in the two windows of a pet store, how many of the puppies are female?

1. 3/4 of the puppies in the left are male
2. 1/3 of the puppies in the right are female

OA E

Source: Princeton Review
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Source: — Data Sufficiency |

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by Jay@ManhattanReview » Mon Jun 03, 2019 9:38 pm
BTGmoderatorDC wrote:If a total of 30 puppies is displayed in the two windows of a pet store, how many of the puppies are female?

1. 3/4 of the puppies in the left are male.
2. 1/3 of the puppies in the right are female.

OA E

Source: Princeton Review
Since we do not know out of 30, how many puppies are on the left and on the right, we cannot calculate how many of the puppies are female. Insufficient.

Let's see how.

Say there are x number of puppies on the left, thus, there are (30 - x) number of puppies on the right.

From Statement 1, we have number fo female puppies = 1/4 of x = x/4. And from Statement 2, we have number fo female puppies = 1/3 of (30 - x) = (30 - x)/3

Total number of female puppies = x/4 + (30 - x)/3 = 10 - (x/12)

Since 10 - (x/12), the values of x could be 12 or 24 since x < 30.

If x = 12, we have the total number of female puppies = 10 - (x/12) = 10 - (12/12) = 9; however,

If x = 24, we have the total number of female puppies = 10 - (x/12) = 10 - (24/12) = 8.

No unique answer. Insufficient.

The correct answer: E

Hope this helps!

-Jay
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