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

It is currently 19 Oct 2018, 06:35

Fuqua EA Calls Expected Soon:

Join us in the chat | track the decision tracker | See forum posts/summary


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

M02-10

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50001
M02-10  [#permalink]

Show Tags

New post 16 Sep 2014, 00:17
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

81% (01:27) correct 19% (01:24) wrong based on 173 sessions

HideShow timer Statistics

In Town X, \(\frac{2}{3}\) of the males and \(\frac{3}{5}\) of the females speak Spanish. If the ratio of females to males in the town is 2:3, what percentage of the total population in Town X speaks Spanish?

A. 36%
B. 40%
C. 48%
D. 64%
E. 73%

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50001
Re M02-10  [#permalink]

Show Tags

New post 16 Sep 2014, 00:17
3
Official Solution:

In Town X, \(\frac{2}{3}\) of the males and \(\frac{3}{5}\) of the females speak Spanish. If the ratio of females to males in the town is 2:3, what percentage of the total population in Town X speaks Spanish?

A. 36%
B. 40%
C. 48%
D. 64%
E. 73%


Assume that the total population of Town X is 100.

The ratio of females to males in the town is 2:3. Since we picked 100 for the population, the number of females is 40 and the number of males is 60.

Out of 40 females, \(\frac{3}{5}\) speak Spanish. That is, \(\frac{3}{5}*40 = 24\) females speak Spanish.

Out of 60 males, \(\frac{2}{3}\) speak Spanish. That is, \(\frac{2}{3}*60 = 40\) males speak Spanish.

So, a total of \(24 + 40 = 64\) people out of 100 speak Spanish. Thus, the answer is 64%.


Answer: D
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
avatar
Joined: 09 Aug 2014
Posts: 12
Re M02-10  [#permalink]

Show Tags

New post 19 Mar 2015, 02:34
I think this question is good and helpful.
Manager
Manager
avatar
Joined: 24 Nov 2013
Posts: 59
M02-10  [#permalink]

Show Tags

New post 11 Aug 2015, 21:34
2
Another way to solve this is to recognize that 66.6% of males and 60% of Females speak Spanish. The % of total population speaking Spanish has to be between these 2 values. We can eliminate all options which do not fall in the range 60% to 66.6%.
@Bunuel...pls let me know whether this approach is correct.
Senior Manager
Senior Manager
User avatar
V
Joined: 06 Jan 2015
Posts: 488
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)
Premium Member
Re: M02-10  [#permalink]

Show Tags

New post 26 Dec 2015, 07:06
Bunuel

Can we apply weighted average technique here?

The 2/3 of the males and 3/5 of the females speak Spanish.Then total population in Town X speaks Spanish
will be between 66.6% to 60%
_________________

आत्मनॊ मोक्षार्थम् जगद्धिताय च

Resource: GMATPrep RCs With Solution

Manager
Manager
User avatar
B
Joined: 28 Dec 2016
Posts: 88
Location: United States (IL)
Concentration: Marketing, General Management
Schools: Johnson '20 (M)
GMAT 1: 700 Q47 V38
Reviews Badge
Re: M02-10  [#permalink]

Show Tags

New post 02 Apr 2018, 10:12
I solved it using fractions.

(%M speaking Spanish)(%M) + (%F speaking Spanish)(%F) = Total % Speaking Spanish
(3/5)(2/3)+(2/5)(3/5) = 16/25 = 64/100
GMAT Club Bot
Re: M02-10 &nbs [#permalink] 02 Apr 2018, 10:12
Display posts from previous: Sort by

M02-10

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

Moderators: chetan2u, Bunuel



cron
Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.