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:

At a two-candidate election for mayor, 3/4 of the registered [#permalink]

Show Tags

04 Sep 2011, 04:15

1

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

5% (low)

Question Stats:

83% (01:45) correct
17% (04:36) wrong based on 108 sessions

HideShow timer Statistics

At a two-candidate election for mayor, 3/4 of the registered voters cast ballots. How many registered voters cast ballots for the winning candidate?

(1) 25000 registered voters did not cast ballots in the election. (2) Of the registered voters who cast ballots, 55 percent cast ballots for the winning candidate

At a two candidate election for mayor, 3/4 of the voters cast ballots. How many registered voters cast ballot for the winning candidate?

1) 25000 registered voters didnot cast ballots in the election. 2) Of the registered voters who cast ballots, 55% cast ballots for the winning candidate.

Option A : 3/4 voters cast their ballots..that means 1/4 didnt. By option 1, we get 1/4 (x) = 25,000. But no idea of how many people cast their ballot for the winning team. Hence, insufficient Option B : 55% cast thier ballot. No idea how many ballots were cast. Hence, insufficient.

Taking A nd B together, we know that how many ppl casted their ballot(from A) and out of the total ballot casted, how many in favour of the winning candidate(option b).

Hence, IMO C _________________

Appreciation in KUDOS please! Knewton Free Test 10/03 - 710 (49/37) Princeton Free Test 10/08 - 610 (44/31) Kaplan Test 1- 10/10 - 630 Veritas Prep- 10/11 - 630 (42/37) MGMAT 1 - 10/12 - 680 (45/34)

Statement 1: tells us that 25,000 constitute the 1/4 of voters who did not cast vote. And hence if 1/4 =25000 then total equal to 1Lakh.But it does not alone help in solving the question. Statement 2: tells that that 55%(3/4*total voters who cast vote) had voted for the winner, but it does not solve the question alone.

Combining both the statements. We now that 55% of 75,000( 3/4*1lakh) cast vote for winning candidate and hence solving the question.

At a two candidate election for mayor, 3/4 of the voters cast ballots. How many registered voters cast ballot for the winning candidate?

1) 25000 registered voters didnot cast ballots in the election. 2) Of the registered voters who cast ballots, 55% cast ballots for the winning candidate.

According to the question stem, 3/4th of the voters cast ballots. Let the total no of voters = x (One thing which might be little confusing here is the use of word "registered". We might assume that voters may be of two types: registered and not registered - this assumption is not correct because common sense says that only people who are registered can vote (unless clearly stated in question otherwise). So here we will go by the common logic and assume that all the voters are registered) Now the question becomes a simpler one.

Statement 1:

from question stem we know that voters who cast ballots = 3/4x So, voters who did not cast ballots = 1/4x = 25000 Hence x = 100,000 But this statement does not give any information about the ballots for winning candidates. Hence INSUFFICIENT

Statement 2: We can calculate the percentage of voters who cast for winning ballot but we can not find the absolute number. For that we need the number of registered voters. Hence INSUFFICIENT

Combining statement 1 and 2: From statement 1, we have that the number of voters and from statement 2, we have the percentage of winning ballots. So, the numbers of registered voters who cast winning ballots = 75,000*55/100. SUFFICIENT

Answer is C _________________

Ifmypostdida dancein your mind, send methe stepsthrough kudos :)

Re: At a two candidate election for mayor, 3/4 of the voters [#permalink]

Show Tags

04 Jul 2013, 07:06

1

This post received KUDOS

Expert's post

fozzzy wrote:

is this a venn diagram question / double matrix? If it is how would set up the table?

No it is not, because we do not have overlapping sets. We cannot have a voter who cast the ballot for both candidates. It's a simple word problem.

At a two-candidate election for mayor, 3/4 of the registered voters cast ballots. How many registered voters cast ballots for the winning candidate?

3/4 of the registered voters cast ballots and 1/4 of the registered voters did NOT cast ballots.

(1) 25000 registered voters did not cast ballots in the election --> 25,000 registered voters = 1/4 of the registered voters, thus there are total of 4*25,000=100,000 registered voters and 75,000 of them cast ballots. We don;t know how those people voted. Not sufficient.

(2) Of the registered voters who cast ballots, 55 percent cast ballots for the winning candidate. We know only percentage. Not sufficient.

(1)+(2) 0.55*75,000=41,250 registered voters cast ballots for the winning candidate. Sufficient.

Re: At a two-candidate election for mayor, 3/4 of the registered [#permalink]

Show Tags

03 Jan 2015, 10:47

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________

Part 2 of the GMAT: How I tackled the GMAT and improved a disappointing score Apologies for the month gap. I went on vacation and had to finish up a...

I’m a little delirious because I’m a little sleep deprived. But whatever. I have to write this post because... I’M IN! Funnily enough, I actually missed the acceptance phone...

So the last couple of weeks have seen a flurry of discussion in our MBA class Whatsapp group around Brexit, the referendum and currency exchange. Most of us believed...

This highly influential bestseller was first published over 25 years ago. I had wanted to read this book for a long time and I finally got around to it...