It is currently 20 Sep 2017, 20:29

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

A rental car agency owns 100 total vehicles, each of which is a compac

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41640

Kudos [?]: 124212 [0], given: 12075

A rental car agency owns 100 total vehicles, each of which is a compac [#permalink]

Show Tags

New post 15 Aug 2017, 01:07
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

79% (01:23) correct 21% (00:37) wrong based on 45 sessions

HideShow timer Statistics

A rental car agency owns 100 total vehicles, each of which is a compact or full-sized car. On a certain day, 40% of the cars were not rented. Of those that were rented, 1/4 were compact cars. If there was the same number of compact cars and full-size cars that were not rented that day, how many full-size cars does the agency own?

A. 45
B. 50
C. 55
D. 60
E. 65
[Reveal] Spoiler: OA

_________________

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

Kudos [?]: 124212 [0], given: 12075

BSchool Forum Moderator
User avatar
P
Joined: 26 Feb 2016
Posts: 1321

Kudos [?]: 518 [0], given: 16

Location: India
Concentration: General Management, Leadership
WE: Sales (Retail)
Premium Member CAT Tests
Re: A rental car agency owns 100 total vehicles, each of which is a compac [#permalink]

Show Tags

New post 15 Aug 2017, 01:41
Given data:
Total Vehicles - 100
Vehicles not rented(40%) - 40
Vehicles rented(60%) - 60

Rented - Compact cars : \(\frac{1}{4} * 60 = 15\)
Rented - Full size cars : \(\frac{3}{4} * 60 = 45\)
Since there was the same number of compact cars and full-size cars that were not rented that day,
Not rented - Full-Size cars = Not rented - Compact = 20

Therefore, the agency owns 20+45(65) full size cars(Option E)
_________________

Stay hungry, Stay foolish

2017-2018 MBA Deadlines

Class of 2020: Rotman Thread | Schulich Thread
Class of 2019: Sauder Thread

Kudos [?]: 518 [0], given: 16

Expert Post
1 KUDOS received
Target Test Prep Representative
User avatar
S
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 1414

Kudos [?]: 757 [1], given: 5

Re: A rental car agency owns 100 total vehicles, each of which is a compac [#permalink]

Show Tags

New post 18 Aug 2017, 09:15
1
This post received
KUDOS
Expert's post
Bunuel wrote:
A rental car agency owns 100 total vehicles, each of which is a compact or full-sized car. On a certain day, 40% of the cars were not rented. Of those that were rented, 1/4 were compact cars. If there was the same number of compact cars and full-size cars that were not rented that day, how many full-size cars does the agency own?

A. 45
B. 50
C. 55
D. 60
E. 65


We know that 100 x 0.4 = 40 vehicles were not rented, and thus 60 were rented.

(1/4) x 60 = 15 compact cars were rented; thus, 60 - 15 = 45 full-size cars were rented.

Since the same number of compact cars and full-size cars were not rented that day, 20 compact and 20 full-size cars were not rented.

Therefore, there were 20 + 45 = 65 full-size cars.

Answer: E
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 757 [1], given: 5

Re: A rental car agency owns 100 total vehicles, each of which is a compac   [#permalink] 18 Aug 2017, 09:15
    Similar topics Author Replies Last post
Similar
Topics:
7 EXPERTS_POSTS_IN_THIS_TOPIC There are 100 lights which are functional and each is controlled by a chetan2u 5 25 Mar 2016, 01:25
23 EXPERTS_POSTS_IN_THIS_TOPIC For a particular model of moving truck, rental agency A charges a dail chetan86 11 15 Sep 2017, 03:51
5 A truck rental agency has the following terms. If a truck is siddharthamaridi 4 27 Dec 2016, 02:34
1 EXPERTS_POSTS_IN_THIS_TOPIC One day a car rental agency rented 2/3 of its cars, including 3/5 of i Bunuel 4 27 Aug 2016, 09:31
6 EXPERTS_POSTS_IN_THIS_TOPIC A certain dealership has a total of 100 vehicles consisting josh227 7 07 Mar 2017, 13:33
Display posts from previous: Sort by

A rental car agency owns 100 total vehicles, each of which is a compac

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


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.