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:

For questions with a fixed sum (here the total population of 132,000), if you need to minimize one term, then you maximize all the others. Likewise, if asked to maximize one term, you minimize all the others.

To see that chetan2u is doing just that, I find it useful to create placeholders for the terms (here, the districts) on paper, filling in with numbers or variables:

(In order, smallest to largest) x / 1.1x / 1.1x / 1.1x / 1.1x / 1.1x /...../ 1.1x / 1.1x = sum of 132,000

The first is minimized, the rest are maximized.
_________________

Emily Sledge | Manhattan GMAT Instructor | St. Louis

As many know, there are many ways to the correct answer in PS. I'm very good at algebra but if I, for example, use logical reasoning and I get to the correct answer more quickly, then that's better.

...Or, if I see that using the answer choices may be quicker than algebra, then I may do that too. On any multiple choice test, the answer choices are your best friend.

Coming to the question, as esledge points out, in any minimum question the first thing you should think of is what you have to maximize (and vice-versa). We need to minimize the population of the smallest voting district.

So, we'll have to maximize the populations of the other 10. Each of these can be at most 10% larger than the population of the smallest.

Look at the answer choices...which number is it easiest to take 10% of?

Clearly, choice D (since it ends in a "0"). 10% of 11, 000 is obviously 1, 100.

So, the biggest we can make the other each of the other ten populations is 11, 000 + 1, 100 = 12, 100.

The total sum, then, is 10*12,100 + 11,000 = 132,000. Success--happy ending to the story--all initial conditions satisfied--correct answer must be choice D!

TAKEAWAY: often algebraic approaches will, for a large chunk of the test-taking population, be less efficient than alternative approaches based on logical reasoning, picking numbers or, as here, backsolving. During review, return to questions you've answered correctly, and ask yourself whether you could have answered them more quickly had you made use of non-traditional approaches.

Since my last post, I’ve got the interview decisions for the other two business schools I applied to: Denied by Wharton and Invited to Interview with Stanford. It all...

[rss2posts title=The MBA Manual title_url=https://mbamanual.com/2016/11/22/mba-vs-mim-guest-post/ sub_title=MBA vs. MiM :3qa61fk6]Hey, guys! We have a great guest post by Abhyank Srinet of MiM-Essay . In a quick post and an...

Marketing is one of those functions, that if done successfully, requires a little bit of everything. In other words, it is highly cross-functional and requires a lot of different...