GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 20 Oct 2019, 01:57

Close

GMAT Club Daily Prep

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.

Close

Request Expert Reply

Confirm Cancel

In a country the total population is 50 million and they are distribut

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Intern
Intern
avatar
Joined: 04 Sep 2009
Posts: 37
In a country the total population is 50 million and they are distribut  [#permalink]

Show Tags

New post 28 May 2011, 07:54
1
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

63% (02:16) correct 38% (02:29) wrong based on 71 sessions

HideShow timer Statistics

In a country the total population is 50 million and they are distributed among 6 territories in descending order as follows, J,K,L,M,N,P where some territories can have the same amount of people. If M has 21% of the total population and P has 2 million people, what is the maximum amount of people (in millions) in territory N?

a) 4
b) 6
c) 8.5
d) 9
e) 10.5

_________________
Aeros
"Why are you trying so hard to fit in when you were born to stand out?"
"Do or do not. There is no 'try'..."
Target Test Prep Representative
User avatar
D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8109
Location: United States (CA)
Re: In a country the total population is 50 million and they are distribut  [#permalink]

Show Tags

New post 04 Jul 2017, 07:47
1
aeros232 wrote:
In a country the total population is 50 million and they are distributed among 6 territories in descending order as follows, J,K,L,M,N,P where some territories can have the same amount of people. If M has 21% of the total population and P has 2 million people, what is the maximum amount of people (in millions) in territory N?

a) 4
b) 6
c) 8.5
d) 9
e) 10.5


Since there are 50 million people and M has 21% of them, M has:

0.21 x 50 million = 10.5 million people

Since the number of people in N is between the number of people in M and P, N has between 2 million and 10.5 million people. Since we want to maximize the number of people in N, we want to minimize the number of people in J, K, and L such that each has at least the number of people in M, or 10.5 million. Thus, we can say that J, K, and L have 10.5 million people each; if we add to that the 10.5 million and 2 million people in M and P, respectively, we have 10.5 x 4 + 2 = 44 million people in J, K, L, M, and P combined. Thus, the maximum number of people in N is:

50 - 44 = 6 million

Answer: B
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

CEO
CEO
User avatar
B
Joined: 17 Nov 2007
Posts: 3067
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
GMAT ToolKit User
Re: In a country the total population is 50 million and they are distribut  [#permalink]

Show Tags

New post 28 May 2011, 08:02
\(J\ge K\ge L\ge M\ge N\ge P\)

N is maximum when J, K and L are minimum. It's possible when:

\(J= K= L=M\ge N\ge P\)

So,

4*21%*50 + N + 2 = 50

42 + N + 2 = 50

N = 6
_________________
HOT! GMAT Club Forum 2020 | GMAT ToolKit 2 (iOS) - The OFFICIAL GMAT CLUB PREP APPs, must-have apps especially if you aim at 700+ | Limited Online GMAT/GRE Math tutoring
Director
Director
avatar
Status: There is always something new !!
Affiliations: PMI,QAI Global,eXampleCG
Joined: 08 May 2009
Posts: 854
Re: In a country the total population is 50 million and they are distribut  [#permalink]

Show Tags

New post 30 May 2011, 04:00
4* (21/100) * 50 * 10^6 = 42 * 10^6

42* 10^6 + 2 * 10^6 = 44 * 10^6

thus 6 million.
Intern
Intern
avatar
Joined: 25 Mar 2017
Posts: 1
Re: In a country the total population is 50 million and they are distribut  [#permalink]

Show Tags

New post 30 Jun 2017, 05:31
What is the source of this question?My friend got this question in his GMAT today.
GMAT Club Bot
Re: In a country the total population is 50 million and they are distribut   [#permalink] 30 Jun 2017, 05:31
Display posts from previous: Sort by

In a country the total population is 50 million and they are distribut

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne