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:

58% (02:21) correct 42% (02:59) wrong based on 48 sessions

HideShow timer Statistics

After \(\frac{2}{9}\) of the numbers in a data set \(A\) were observed, it turned out that \(\frac{3}{4}\) of those numbers were non-negative. What fraction of the remaining numbers in set \(A\) must be negative so that the total ratio of negative numbers to non-negative numbers be 2 to 1?

A. \(\frac{11}{14}\) B. \(\frac{13}{18}\) C. \(\frac{4}{7}\) D. \(\frac{3}{7}\) E. \(\frac{3}{14}\)

After \(\frac{2}{9}\) of the numbers in a data set \(A\) were observed, it turned out that \(\frac{3}{4}\) of those numbers were non-negative. What fraction of the remaining numbers in set \(A\) must be negative so that the total ratio of negative numbers to non-negative numbers be 2 to 1?

A. \(\frac{11}{14}\) B. \(\frac{13}{18}\) C. \(\frac{4}{7}\) D. \(\frac{3}{7}\) E. \(\frac{3}{14}\)

When choosing variable for set \(A\), there will be too many fractions to manipulate with, so pick some smart number: let us imagine set \(A\) contains 18 numbers.

"\(\frac{2}{9}\) of the numbers in a data set \(A\) were observed" hence 4 numbers were observed and \(18-4=14\) numbers left to observe;

"\(\frac{3}{4}\) of those numbers were non-negative" hence 3 numbers were non-negative and 1 number was negative;

Ratio of negative numbers to non-negative numbers to be 2 to 1 there should be total of \(18*\frac{2}{3}=12\) negative numbers, so in not yet observed part there should be \(12-1=11\) negative numbers. Thus \(\frac{11}{14}\) of the remaining numbers in set \(A\) must be negative.

Now in order to calculate the answer we need to divide this number by a total of remaining numbers (\(\frac {7}{9}\)), which gives \(\frac {11}{14}\) as an answer.

>> !!!

You do not have the required permissions to view the files attached to this post.

I think this is a high-quality question and I agree with explanation. I think that the quality would have been much better if the phrase "remaining numbers" was clearer. As from this remaining numbers can be inferred put as Total - observed or total - non-negative.

Now in order to calculate the answer we need to divide this number by a total of remaining numbers (\(\frac {7}{9}\)), which gives \(\frac {11}{14}\) as an answer.

I also solved it the same way, but the last highlighted part is not clear. Can someone please explain that part as i got my answer as 11/18 which is not in the options.
_________________

Please give kudos, if you like my post

When the going gets tough, the tough gets going...

I think this is a high-quality question and the explanation isn't clear enough, please elaborate. i am unable to under why ratio is coming to be 2:1 when it should be 3:1 because 3 are non-negative and 1 is negative. Please clarify

I think this is a high-quality question and the explanation isn't clear enough, please elaborate. i am unable to under why ratio is coming to be 2:1 when it should be 3:1 because 3 are non-negative and 1 is negative. Please clarify

In 4 numbers observed 3 numbers were non-negative and 1 number was negative. But the question asks: What fraction of the remaining numbers in set \(A\) must be negative so that the total ratio of negative numbers to non-negative numbers be 2 to 1?
_________________

After \(\frac{2}{9}\) of the numbers in a data set \(A\) were observed, it turned out that \(\frac{3}{4}\) of those numbers were non-negative. What fraction of the remaining numbers in set \(A\) must be negative so that the total ratio of negative numbers to non-negative numbers be 2 to 1?

A. \(\frac{11}{14}\) B. \(\frac{13}{18}\) C. \(\frac{4}{7}\) D. \(\frac{3}{7}\) E. \(\frac{3}{14}\)

When choosing variable for set \(A\), there will be too many fractions to manipulate with, so pick some smart number: let us imagine set \(A\) contains 18 numbers.

"\(\frac{2}{9}\) of the numbers in a data set \(A\) were observed" hence 4 numbers were observed and \(18-4=14\) numbers left to observe;

"\(\frac{3}{4}\) of those numbers were non-negative" hence 3 numbers were non-negative and 1 number was negative;

Ratio of negative numbers to non-negative numbers to be 2 to 1 there should be total of \(18*\frac{2}{3}=12\) negative numbers, so in not yet observed part there should be \(12-1=11\) negative numbers. Thus \(\frac{11}{14}\) of the remaining numbers in set \(A\) must be negative.

Answer: A

Can u please explain the last part of the question ? M still confused

After \(\frac{2}{9}\) of the numbers in a data set \(A\) were observed, it turned out that \(\frac{3}{4}\) of those numbers were non-negative. What fraction of the remaining numbers in set \(A\) must be negative so that the total ratio of negative numbers to non-negative numbers be 2 to 1?

A. \(\frac{11}{14}\) B. \(\frac{13}{18}\) C. \(\frac{4}{7}\) D. \(\frac{3}{7}\) E. \(\frac{3}{14}\)

When choosing variable for set \(A\), there will be too many fractions to manipulate with, so pick some smart number: let us imagine set \(A\) contains 18 numbers.

"\(\frac{2}{9}\) of the numbers in a data set \(A\) were observed" hence 4 numbers were observed and \(18-4=14\) numbers left to observe;

"\(\frac{3}{4}\) of those numbers were non-negative" hence 3 numbers were non-negative and 1 number was negative;

Ratio of negative numbers to non-negative numbers to be 2 to 1 there should be total of \(18*\frac{2}{3}=12\) negative numbers, so in not yet observed part there should be \(12-1=11\) negative numbers. Thus \(\frac{11}{14}\) of the remaining numbers in set \(A\) must be negative.

Answer: A

Can u please explain the last part of the question ? M still confused

In observed pool: 3 numbers were non-negative and 1 number was negative.

We want the TOTAL ratio of negative numbers to non-negative numbers be 2 to 1. So, there should be total of 18*2/3 = 12 negative numbers. So, in not yet observed part (14) there should be 12-1=11 negative numbers. Thus \(\frac{11}{14}\) of the remaining numbers in set \(A\) must be negative.