• EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • Target Test Prep
    5-Day Free Trial
    5-day free, full-access trial TTP Quant

    Available with Beat the GMAT members only code

    MORE DETAILS
    Target Test Prep
  • e-gmat Exclusive Offer
    Get 300+ Practice Questions
    25 Video lessons and 6 Webinars for FREE

    Available with Beat the GMAT members only code

    MORE DETAILS
    e-gmat Exclusive Offer
  • Varsity Tutors
    Award-winning private GMAT tutoring
    Register now and save up to $200

    Available with Beat the GMAT members only code

    MORE DETAILS
    Varsity Tutors
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT
  • Economist Test Prep
    Free Trial & Practice Exam
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • Kaplan Test Prep
    Free Practice Test & Review
    How would you score if you took the GMAT

    Available with Beat the GMAT members only code

    MORE DETAILS
    Kaplan Test Prep

GMAT Prep : Are at least 10 percent of the people in Country

This topic has 3 expert replies and 0 member replies
himu Master | Next Rank: 500 Posts
Joined
21 Dec 2008
Posted:
345 messages
Followed by:
3 members
Upvotes:
6

GMAT Prep : Are at least 10 percent of the people in Country

Post Mon Mar 11, 2013 8:48 pm
Are at least 10 percent of the people in Country X who are 65 years old or older employed?

(1) In country X, 11.3 percent of the population is 65 year old or older
(2) In country X, of the population 65 year old or older, 20 percent of the men and 10 percent of the women are employed

  • +1 Upvote Post
  • Quote
  • Flag

GMAT/MBA Expert

Post Thu Dec 07, 2017 8:58 am
Quote:
Are at least 10 percent of the people in Country X who are 65 years old or older employed?

1) In Country X, 11.3 percent of the population is 65 years old or older.

2) In Country X, of the population 65 years old or older, 20 percent of the men and 10 percent of the women are employed
Let's use the term seniors, to refer to those who are 65 years old or older.

Target question: Are at least 10 percent of Country X's seniors employed?

Statement 1: In Country X, 11.3 percent of the population is 65 years old or older.
Okay, so we know that a certain percent of the population are seniors, but we aren't told anything about their employment rates.
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: Among Country X's seniors, 20 percent of the men and 10 percent of the women are employed
To get a feel for what this tells us, let's examine the two EXTREMES:
Extreme #1 - among the seniors, there are ZERO women. This means all of the seniors are men, which means 20% of the seniors are employed
Extreme #2 - among the seniors, there are ZERO men. This means all of the seniors are women, which means 10% of the seniors are employed
Now that we have examined the extremes, we have a range of values that represent the employment rate among Country X's seniors.
We can conclude: 10% < senior employment rate < 20%
In other words, at least 10 percent of Country X's seniors are employed
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer = B

By the way, this concept (and others) is covered in the following video on weighted averages: http://www.gmatprepnow.com/module/gmat-statistics?id=805

Cheers,
Brent

_________________
Brent Hanneson – Founder of GMATPrepNow.com
Use our video course along with Beat The GMAT's free 60-Day Study Guide

Check out the online reviews of our course
Come see all of our free resources

  • +1 Upvote Post
  • Quote
  • Flag
GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months!

GMAT/MBA Expert

Post Thu Dec 07, 2017 7:39 am
himu wrote:
Are at least 10 percent of the people in Country X who are 65 years old or older employed?

(1) In country X, 11.3 percent of the population is 65 year old or older
(2) In country X, of the population 65 year old or older, 20 percent of the men and 10 percent of the women are employed
We need to determine whether at least 10 percent of the people in Country X who are 65 years old or older are employed. Let’s refer to the population of those who are 65 years old or older in Country X as the “older population.”

Statement One Alone:

In Country X, 11.3 percent of the population is 65 years old or older.

Knowing the percentage of the population in Country X who are 65 years old or older doesn’t give us enough information to determine the percentage of the older population who are employed. For example, it could be the case that 5% of the older population are employed or it could be the case that 35% of them are employed. Statement one alone is not sufficient. Eliminate answer choices A and D.

Statement Two Alone:

In Country X, of the population 65 years old or older, 20 percent of the men and 10 percent of the women are employed.

Of the older population, if 20% of the men and 10% of the women are employed, then it must be true that the overall employment percentage is between 10 and 20 percent. Anytime there is a group of people or objects divided into two subgroups, if x percent of one subgroup satisfies a criterion and y percent of the other subgroup satisfies the same criterion, then the percentage of the whole group satisfying this criterion is some number between x and y percent. Since the percentage of the older population who are employed is between 10 and 20 percent, then at least 10 percent of them are employed. Statement two alone is sufficient.

Answer: B

_________________
Jeffrey Miller Head of GMAT Instruction

  • +1 Upvote Post
  • Quote
  • Flag

GMAT/MBA Expert

Anju@Gurome GMAT Instructor
Joined
11 Aug 2010
Posted:
511 messages
Followed by:
86 members
Upvotes:
344
Post Mon Mar 11, 2013 8:50 pm
himu wrote:
Are at least 10 percent of the people in Country X who are 65 years old or older employed?

(1) In country X, 11.3 percent of the population is 65 year old or older
(2) In country X, of the population 65 year old or older, 20 percent of the men and 10 percent of the women are employed
(1) There is no information of the people employed. So, (1) is NOT SUFFICIENT.

(2) Now, the problem can be viewed as an weighted average problem.
20% of the men + 10% of women are employed. Although the number of men and women are not known, but the employment should be greater than 10% and less than 20%. So, (2) is SUFFICIENT.

The correct answer is B.

_________________
Anju Agarwal
Quant Expert, Gurome

Backup Methods : General guide on plugging, estimation etc.
Wavy Curve Method : Solving complex inequalities in a matter of seconds.

§ GMAT with Gurome § Admissions with Gurome § Career Advising with Gurome §

  • +1 Upvote Post
  • Quote
  • Flag

Best Conversation Starters

1 Roland2rule 181 topics
2 lheiannie07 110 topics
3 ardz24 60 topics
4 LUANDATO 55 topics
5 swerve 52 topics
See More Top Beat The GMAT Members...

Most Active Experts

1 image description Brent@GMATPrepNow

GMAT Prep Now Teacher

153 posts
2 image description GMATGuruNY

The Princeton Review Teacher

125 posts
3 image description Scott@TargetTestPrep

Target Test Prep

123 posts
4 image description Rich.C@EMPOWERgma...

EMPOWERgmat

111 posts
5 image description EconomistGMATTutor

The Economist GMAT Tutor

83 posts
See More Top Beat The GMAT Experts