Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Using statement (1): If 8 sheep are removed from the pen when it is 2/3 full, the number of sheep in the pen will decrease by 1/4.

Let the capacity of the pen be 'a' and the number of sheep currently in the pen be 'b'. Then (2/3)*a - 8 = b - (b/4) and b = (2/3)*a Solving these equations simultaneously gives us: a = 48 and b=32. Sufficient.

Using statement (2): Just knowing the number of sheep currently in the pen is insufficient to tell us the capacity of the pen. Insufficient.

Gyanone, please suggest on following: ..................................... Let the capacity of the pen be 'a' and the number of sheep currently in the pen be 'b'. Then (2/3)*a - 8 = b - (b/4) and x = (2/3)*y ??? Solving these equations simultaneously gives us: a = 48 and b=32. Sufficient. .....................................

@ fluke: -------------------------------------- Let "x" be the number of sheep when the pen is full. \frac{1}{4}*\frac{2}{3}*x=8 --------------------------------------

How could you arrive at equation in 1 variable? The stem says "the number of sheep in the pen will decrease by 1/4". We don't know how many sheep are in the pen (it does not say that the max. capacity of the pen will decrease by 1/4)? Both statements are different. So, you have to have two variables.

I might not be capturing something. Please help me understand. Thanks in advance!

Also, to add on, 48 does not satisfy the stem "If 8 sheep are removed from the pen when it is 2/3 full, the number of sheep in the pen will decrease by 1/4. "

(2/3)x-8=(2/3)x-(1/4)(2/3)x, how did you arrive at part highlighted in boldface?

Stem says number of sheep (in the pen at that particular time) decreases to 1/4. How can we assume that it was 2/3x at that time? We simply do not know!

apologies - my second statement was supposed to be: b = (2/3)*a (edited now in the original solution).

This is valid because statement (1) says: If 8 sheep are removed from the pen when it is 2/3 full, the number of sheep in the pen will decrease by 1/4.

Note the highlighted part. This means that the pen is 2/3 full when we remove the 8 sheep from it.

This means the number of sheep currently in the pen is 2/3 of the pen's capacity. => b = (2/3)*a

You can (rather must) take the number of sheep currently in the pen to be 2/3 of the pen's capacity because that is exactly what statement (1) says.

Happy to explain further if you still have doubts.
_________________

from option 1. lets assume max numer of sheeps = x so current no of sheeps = 2/3 x now by reducing it by number 8 the total number of sheep reduces by 1/4 . that means it reduces by 2/3 x * 1/4 now we can put this in equation

Its been long time coming. I have always been passionate about poetry. It’s my way of expressing my feelings and emotions. And i feel a person can convey...

Written by Scottish historian Niall Ferguson , the book is subtitled “A Financial History of the World”. There is also a long documentary of the same name that the...

Post-MBA I became very intrigued by how senior leaders navigated their career progression. It was also at this time that I realized I learned nothing about this during my...