It is currently 19 Feb 2018, 02:19

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

To receive a driver license, sixteen year-olds at Culliver

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

Hide Tags

Manager
Manager
avatar
Joined: 07 May 2007
Posts: 178
To receive a driver license, sixteen year-olds at Culliver [#permalink]

Show Tags

New post 01 Jul 2007, 08:43
11
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

62% (01:40) correct 38% (01:46) wrong based on 331 sessions

HideShow timer Statistics

To receive a driver license, sixteen year-olds at Culliver High School have to pass both a written and a practical driving test. Everyone has to take the tests, and no one failed both tests. If 30% of the 16 year-olds who passed the written test did not pass the practical, how many sixteen year-olds at Culliver High School received their driver license?

(1) There are 188 sixteen year-olds at Culliver High School.

(2) 20% of the sixteen year-olds who passed the practical test failed the written test.
[Reveal] Spoiler: OA
3 KUDOS received
Manager
Manager
avatar
Joined: 03 Mar 2007
Posts: 162
 [#permalink]

Show Tags

New post 01 Jul 2007, 10:22
3
This post received
KUDOS
I got C.

Just did a Vinn Diagram.

Image

You are given:

to get a license you have to pass BOTH which is the overlap of the two circles.

Also, no one failed both so nothing outside circles.

30% W but not P.

Statement 1: 188 total 16 year olds. INSUFF.

Statement 2: 20% P but not W.

So this tells you that the overlap is 50% of total 16 yr olds. But the question wants a definite number, if it had said what % of 16 got a license then 2 would be sufficient. INSUFF.

together you know there are 188 total 16 year olds and 50% got their license so 94 got their license. C.

What is the OA?
Intern
Intern
avatar
Joined: 02 Apr 2008
Posts: 37
Re: DS: Driver's licenses [#permalink]

Show Tags

New post 20 Apr 2008, 13:18
Answer C (I think)

(1) insufficient
(2) insufficient because it doesn't give details as to the total number of students

Combined,
w - % of 188 who passed the written test
p - % of 188 who passed the practical tests
0.3w -failed practical test
0.2p - failed written test
license holders = 0.7w=0.8w

first equation 0.3w +0.7w+0.2p =188 --> w+0.2p =188
second equation p+0.3w=188

2 variables with 2 equations, which means you can find the answer
Current Student
avatar
Joined: 28 Dec 2004
Posts: 3342
Location: New York City
Schools: Wharton'11 HBS'12
Re: DS: Driver's licenses [#permalink]

Show Tags

New post 20 Apr 2008, 15:26
I am going to say E on this..cause while i know the number of 16-year olds..i dont know how many actually applied for the drivers license..this question as is written would be E..

anyone else have the same view as I?
Intern
Intern
User avatar
Joined: 07 Nov 2007
Posts: 27
Location: Dominican Republic
Re: DS: Driver's licenses [#permalink]

Show Tags

New post 21 Apr 2008, 16:30
fresinha12 wrote:
I am going to say E on this..cause while i know the number of 16-year olds..i dont know how many actually applied for the drivers license..this question as is written would be E..

anyone else have the same view as I?


The question stem says that all students must take the tests.
Current Student
avatar
Joined: 28 Dec 2004
Posts: 3342
Location: New York City
Schools: Wharton'11 HBS'12
Re: DS: Driver's licenses [#permalink]

Show Tags

New post 22 Apr 2008, 14:08
chineseburned wrote:
To receive a driver license, sixteen year-olds at Culliver High School have to pass both a written and a practical driving test. Everyone has to take the tests, and no one failed both tests. If 30% of the 16 year-olds who passed the written test did not pass the practical, how many sixteen year-olds at Culliver High School received their driver license?

(1) There are 188 sixteen year-olds at Culliver High School.

(2) 20% of the sixteen year-olds who passed the practical test failed the written test.


Man this is hard..

p=% passed practical
w=% passed written..

(1-p)=.3W from the stem

1) 188 students insuff, (2) (1-w)=0.2p

P+(1-p)+w+(1-w)=188

p+.3W+w+0.2p=188

1.2p+1.3W=188

I dont get..how this can be C? i have 2 variables 1 equation..

can someone explain?
Intern
Intern
User avatar
Joined: 07 Nov 2007
Posts: 27
Location: Dominican Republic
Re: DS: Driver's licenses [#permalink]

Show Tags

New post 22 Apr 2008, 18:47
I used a different approach and got C as the answer, but I'm not sure if my value answer holds true. Basically I got that 50% of the students involved in the tests got their driver's license.

This means that 188/2 = 94 students got their license instead of 112.
Attachments

Untitled.jpg
Untitled.jpg [ 9.55 KiB | Viewed 4045 times ]

1 KUDOS received
SVP
SVP
User avatar
Joined: 24 Aug 2006
Posts: 2130
Re: DS: Driver's licenses [#permalink]

Show Tags

New post 23 Apr 2008, 10:58
1
This post received
KUDOS
A+B+C=188

.3(a+b)=a

.2(b+c)=c

solve for B, which equals 112
Attachments

VENN.JPG
VENN.JPG [ 33.54 KiB | Viewed 4032 times ]

Manager
Manager
User avatar
Joined: 06 Feb 2010
Posts: 166
Concentration: Marketing, Leadership
Schools: University of Dhaka - Class of 2010
GPA: 3.63
WE: Business Development (Consumer Products)
To receive a driver license, sixteen year-olds at Culliver H [#permalink]

Show Tags

New post 12 Nov 2013, 07:43
2
This post was
BOOKMARKED
To receive a driver license, sixteen year-olds at Culliver High School have to pass both a written and a practical driving test. Everyone has to take the tests, and no one failed both tests. If 30% of the 16 year-olds who passed the written test did not pass the practical, how many sixteen year-olds at Culliver High School received their driver license?

(1) There are 188 sixteen year-olds at Culliver High School.

(2) 20% of the sixteen year-olds who passed the practical test failed the written test.
_________________

Practice Makes a Man Perfect. Practice. Practice. Practice......Perfectly

Critical Reasoning: http://gmatclub.com/forum/best-critical-reasoning-shortcuts-notes-tips-91280.html

Collections of MGMAT CAT: http://gmatclub.com/forum/collections-of-mgmat-cat-math-152750.html

MGMAT SC SUMMARY: http://gmatclub.com/forum/mgmat-sc-summary-of-fourth-edition-152753.html

Sentence Correction: http://gmatclub.com/forum/sentence-correction-strategies-and-notes-91218.html

Arithmatic & Algebra: http://gmatclub.com/forum/arithmatic-algebra-93678.html

Helpful Geometry formula sheet: http://gmatclub.com/forum/best-geometry-93676.html


I hope these will help to understand the basic concepts & strategies. Please Click ON KUDOS Button.

Senior Manager
Senior Manager
avatar
Status: busyness school student
Joined: 09 Sep 2013
Posts: 419
Location: United States
Schools: Tepper '16 (M)
GMAT 1: 730 Q52 V37
Premium Member
Re: To receive a driver license, sixteen year-olds at Culliver H [#permalink]

Show Tags

New post 12 Nov 2013, 08:17
There are four outcomes. You can:
A) Pass Written and Pass Practical (which implies you get a license)
B) Pass Written and Fail Practical
C) Fail Written and Pass Practical
D) Fail Written and Fail Practical.

We are given that no one (0%) has failed both (outcome D) and that 30% Pass written, Fail practical (outcome B).
We need to find the number corresponding to outcome A (not the percentage!)


(1) There are 188 sixteen year-olds at Culliver High School.
Great, this tells you that 0 kids fall into outcome D and 57 kids fall into outcome B. But this doesn't tell you how many fall into outcome A. It tells you that the total number of kids in outcome A and outcome C is 188-57=131.


(2) 20% of the sixteen year-olds who passed the practical test failed the written test.
We now know that 20% are in outcome C. Since we know the % of kids in outcomes B, C, and D, we can figure out the % of kids in outcome A. There are 50% of kids in outcome A, since outcomes B+C+D = 50%. But, this still doesn't tell how many students are in outcome A, just the percentage.

Given both (1) and (2), we now know that 50% of 188 students (or 94 students) passed both the written and practical exam.

So the answer is C.
_________________

My review of some of the CAT practice exams
You can usually find me on gmatclub's chat.

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43804
Re: To receive a driver license, sixteen year-olds at Culliver H [#permalink]

Show Tags

New post 12 Nov 2013, 09:43
monirjewel wrote:
To receive a driver license, sixteen year-olds at Culliver High School have to pass both a written and a practical driving test. Everyone has to take the tests, and no one failed both tests. If 30% of the 16 year-olds who passed the written test did not pass the practical, how many sixteen year-olds at Culliver High School received their driver license?

(1) There are 188 sixteen year-olds at Culliver High School.

(2) 20% of the sixteen year-olds who passed the practical test failed the written test.


Merging similar topics. Please search before posting.
_________________

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

1 KUDOS received
Current Student
User avatar
Status: Everyone is a leader. Just stop listening to others.
Joined: 22 Mar 2013
Posts: 952
Location: India
GPA: 3.51
WE: Information Technology (Computer Software)
Premium Member Reviews Badge
Re: To receive a driver license, sixteen year-olds at Culliver [#permalink]

Show Tags

New post 11 Apr 2014, 04:10
1
This post received
KUDOS
1
This post was
BOOKMARKED
Clearly 1 and 2 are not sufficient.

Using both options it is possible to find out the answer.

Attachment:
Question.jpg
Question.jpg [ 39.46 KiB | Viewed 3002 times ]

_________________

Piyush K
-----------------------
Our greatest weakness lies in giving up. The most certain way to succeed is to try just one more time. ― Thomas A. Edison
Don't forget to press--> Kudos :)
My Articles: 1. WOULD: when to use? | 2. All GMATPrep RCs (New)
Tip: Before exam a week earlier don't forget to exhaust all gmatprep problems specially for "sentence correction".

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13827
Premium Member
Re: To receive a driver license, sixteen year-olds at Culliver [#permalink]

Show Tags

New post 25 Nov 2015, 11:19
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Expert Post
Math Revolution GMAT Instructor
User avatar
D
Joined: 16 Aug 2015
Posts: 4882
GPA: 3.82
Re: To receive a driver license, sixteen year-olds at Culliver [#permalink]

Show Tags

New post 26 Nov 2015, 07:07
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

To receive a driver license, sixteen year-olds at Culliver High School have to pass both a written and a practical driving test. Everyone has to take the tests, and no one failed both tests. If 30% of the 16 year-olds who passed the written test did not pass the practical, how many sixteen year-olds at Culliver High School received their driver license?

(1) There are 188 sixteen year-olds at Culliver High School.

(2) 20% of the sixteen year-olds who passed the practical test failed the written test.

This is a "2by2" question, one of the most common type of question in GMAT math
we get a table as below:
Attachment:
GCDS iamba To receive a driver license (20151126).jpg
GCDS iamba To receive a driver license (20151126).jpg [ 44.75 KiB | Viewed 1916 times ]


There are 3 variables (a,b,c) and one equation (c=0.3(a+c)) in the original condition, and 2 equations are given by the conditions, so there is high chance (C) will be the answer
Looking at the conditions together,
a+b+c=188, b=0.2(a+b), and this is sufficient to achieve an answer,
so the answer becomes (C).

For cases where we need 2 more equations, such as original conditions with “2 variables”, or “3 variables and 1 equation”, or “4 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 70% chance that C is the answer, while E has 25% chance. These two are the majority. In case of common mistake type 3,4, the answer may be from A, B or D but there is only 5% chance. Since C is most likely to be the answer using 1) and 2) separately according to DS definition (It saves us time). Obviously there may be cases where the answer is A, B, D or E.
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself
See our Youtube demo

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13827
Premium Member
Re: To receive a driver license, sixteen year-olds at Culliver [#permalink]

Show Tags

New post 05 Aug 2017, 12:29
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Re: To receive a driver license, sixteen year-olds at Culliver   [#permalink] 05 Aug 2017, 12:29
Display posts from previous: Sort by

To receive a driver license, sixteen year-olds at Culliver

  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®.