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

It is currently 18 Sep 2018, 14:31

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

Last year 4/5 of the applicants for a job on a police force passed the

  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: 49206
Last year 4/5 of the applicants for a job on a police force passed the  [#permalink]

Show Tags

New post 16 Dec 2014, 05:47
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

70% (01:33) correct 30% (01:45) wrong based on 198 sessions

HideShow timer Statistics

Tough and Tricky questions: Overlapping Sets.



Last year 4/5 of the applicants for a job on a police force passed the physical examination. If 3/4 of the applicants who passed the physical examination also passed the written examination, how many of the applicants passed both examinations ?

(1) The number of applicants who did not pass either examination was equal to the number who passed the written examination only.
(2) There was a total of 100 applicants.


Kudos for a correct solution.

_________________

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

Manager
Manager
avatar
Joined: 14 Dec 2014
Posts: 53
Location: India
Concentration: Technology, Finance
GPA: 3.87
WE: Programming (Computer Software)
Re: Last year 4/5 of the applicants for a job on a police force passed the  [#permalink]

Show Tags

New post 16 Dec 2014, 09:39
1. the number of applicants unknown.Insufficient

2, No. of applicants given . Sufficient

Ans B
_________________

If you like my posts appreciate them with Kudos :)
Cheers!!

Manager
Manager
avatar
Joined: 21 Aug 2010
Posts: 176
Location: United States
GMAT 1: 700 Q49 V35
GMAT ToolKit User
Re: Last year 4/5 of the applicants for a job on a police force passed the  [#permalink]

Show Tags

New post 16 Dec 2014, 12:05
1
Bunuel wrote:

Tough and Tricky questions: Overlapping Sets.



Last year 4/5 of the applicants for a job on a police force passed the physical examination. If 3/4 of the applicants who passed the physical examination also passed the written examination, how many of the applicants passed both examinations ?

(1) The number of applicants who did not pass either examination was equal to the number who passed the written examination only.
(2) There was a total of 100 applicants.


Kudos for a correct solution.


Total # of applicants: A
# of applicants passed Physical exam: P = 4/5 * A
# of applicants who passed the physical exam and written exam:X = 3/4P
= 3/4 (4/5* A)
= 3/5 * A

Statement 1: We can find the ratio but cannot find the # of applicants - Not Sufficient
Statement 2: By substituting 100 in the above equation we can get the answer - Sufficient

Answer - B
_________________

-------------------------------------

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49206
Re: Last year 4/5 of the applicants for a job on a police force passed the  [#permalink]

Show Tags

New post 23 Dec 2014, 06:57
Bunuel wrote:

Tough and Tricky questions: Overlapping Sets.



Last year 4/5 of the applicants for a job on a police force passed the physical examination. If 3/4 of the applicants who passed the physical examination also passed the written examination, how many of the applicants passed both examinations ?

(1) The number of applicants who did not pass either examination was equal to the number who passed the written examination only.
(2) There was a total of 100 applicants.


Kudos for a correct solution.


The correct answer is B.
_________________

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

Board of Directors
User avatar
P
Joined: 17 Jul 2014
Posts: 2697
Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
GMAT ToolKit User Premium Member Reviews Badge
Re: Last year 4/5 of the applicants for a job on a police force passed the  [#permalink]

Show Tags

New post 23 Dec 2014, 07:03
took me 16 seconds to find the answer, hope it is a sign that i'm good at DS :D
Manager
Manager
User avatar
G
Joined: 13 Jun 2012
Posts: 177
Location: United States
WE: Supply Chain Management (Computer Hardware)
GMAT ToolKit User
Re: Last year 4/5 of the applicants for a job on a police force passed the  [#permalink]

Show Tags

New post 23 Dec 2014, 08:56
60 passed both. DS:- B
Intern
Intern
avatar
B
Joined: 11 Jan 2016
Posts: 5
Re: Last year 4/5 of the applicants for a job on a police force passed the  [#permalink]

Show Tags

New post 01 Mar 2017, 03:56
Bunuel wrote:
Bunuel wrote:

Tough and Tricky questions: Overlapping Sets.



Last year 4/5 of the applicants for a job on a police force passed the physical examination. If 3/4 of the applicants who passed the physical examination also passed the written examination, how many of the applicants passed both examinations ?

(1) The number of applicants who did not pass either examination was equal to the number who passed the written examination only.
(2) There was a total of 100 applicants.


Kudos for a correct solution.


The correct answer is B.



Hi Bunuel, i am in difficulty with this kine of problems. When should i assume that Neither is = 0?
Senior Manager
Senior Manager
User avatar
S
Joined: 24 Oct 2016
Posts: 288
Location: India
Concentration: Finance, International Business
Schools: IIMB
GMAT 1: 550 Q42 V28
GPA: 3.96
WE: Human Resources (Retail Banking)
Last year 4/5 of the applicants for a job on a police force passed the  [#permalink]

Show Tags

New post 08 Mar 2017, 21:58
1
ion wrote:
Bunuel wrote:
Bunuel wrote:

Tough and Tricky questions: Overlapping Sets.



Last year 4/5 of the applicants for a job on a police force passed the physical examination. If 3/4 of the applicants who passed the physical examination also passed the written examination, how many of the applicants passed both examinations ?

(1) The number of applicants who did not pass either examination was equal to the number who passed the written examination only.
(2) There was a total of 100 applicants.


Kudos for a correct solution.


The correct answer is B.



Hi Bunuel, i am in difficulty with this kine of problems. When should i assume that Neither is = 0?


in this question it was simply asked about the no. of applicants who passed both the examinations that is equal to 60.
so no need to find neither and you can't assume neither equal to zero until or unless it is not specified in the question stem.

hope it helps :)
Intern
Intern
avatar
B
Joined: 03 Dec 2017
Posts: 21
Re: Last year 4/5 of the applicants for a job on a police force passed the  [#permalink]

Show Tags

New post 09 Mar 2018, 04:23
how many of the applicants passed both examinations ?

Whenever you face a .... both questions, remember to use the Venn Diagram:

Physical + Written - Both +Neither = Total .... which is actually the: N(A) + N(B) -N(A intersect B) +Neither = All

So ... 4/5 of All = physical examination.
And ... here is the trick! 3/4 of the applicants who passed the physical examination, also passed the written examination! This is equal to the BOTH . So if we have the total number of applicants, we also know the number of physical and consequently we do know the number of BOTH which is equal to 3/4 of the applicants who passed the physical examination. Hence (2) statement is sufficient and (1) is not sufficient. Thus it is B.
Re: Last year 4/5 of the applicants for a job on a police force passed the &nbs [#permalink] 09 Mar 2018, 04:23
Display posts from previous: Sort by

Last year 4/5 of the applicants for a job on a police force passed the

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

Events & Promotions

PREV
NEXT


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®.