Find all School-related info fast with the new School-Specific MBA Forum

It is currently 03 May 2015, 14:59

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Every passenger on a certain airplane is from either Japan

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 28 Dec 2010
Posts: 335
Location: India
Followers: 1

Kudos [?]: 71 [1] , given: 33

Every passenger on a certain airplane is from either Japan [#permalink] New post 15 Jul 2013, 07:49
1
This post received
KUDOS
5
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

44% (03:03) correct 56% (01:39) wrong based on 171 sessions
Every passenger on a certain airplane is from either Japan or Australia; no one is from both. Every passenger is reading either a novel or a biography; no one is reading both. If a passenger is to be selected at random, is the probability that the passenger is both from Japan and reading a novel greater than the probability that the passenger is both from Australia and reading a biography.

(1) The probability that a randomly selected passenger is either from Japan or reading a novel or both is 208/251 .

(2) The probability that a randomly selected passenger is either from Australia or reading a biography or both is 172/251
[Reveal] Spoiler: OA
2 KUDOS received
Current Student
User avatar
Joined: 14 Dec 2012
Posts: 844
Location: India
Concentration: General Management, Operations
GMAT 1: 700 Q50 V34
GPA: 3.6
Followers: 41

Kudos [?]: 733 [2] , given: 197

GMAT ToolKit User
Re: Every passenger on a certain airplane [#permalink] New post 15 Jul 2013, 08:22
2
This post received
KUDOS
vibhav wrote:
Every passenger on a certain airplane is from either Japan or Australia; no one is from both. Every passenger is reading either a novel or a biography; no one is reading both. If a passenger is to be selected at random, is the probability that the passenger is both from Japan and reading a novel greater than the probability that the passenger is both from Australia and reading a biography.

(1) The probability that a randomly selected passenger is either from Japan or reading a novel or both is 208/251 .

(2) The probability that a randomly selected passenger is either from Australia or reading a biography or both is 172/251


Hi,
lets take total passenger be 251
Jb=japanese reading biography
Jn=japanese reading novel
Ab=australian reading biography
An=australian reading novels

we have deter mine whether is the probability that the passenger is both from Japan and reading a novel greater than the probability that the passenger is both from Australia and reading a biography.
or in short
whether Jn>Ab
Jb+Jn+Ab+An=total=251
statement 1:
Japan or reading novel or both = all japanese and all who read novel= Jn+Jb+An=208.....(as probabity is 208/251)
this gives Ab=251-208=43....BUT WE CANNOT DETERMINE what is the share of Jn in 208
hence insufficient

statement 2:
Australia or reading a biography or both= all australians and all who read biography=Ab+An+Jb=172...(as probability is 172/251)
same as statement 1 this is insuffficient as we will be unable to take out Ab
hence insufficient

now subtract those two equations..
you will get Jn+Jb+An-Ab-An-Jb=208-172=36
or Jn-Ab=36
clearly Jn>Ab...hence probability of Jn will be more..
hence sufficient..

hope it helps
_________________

When you want to succeed as bad as you want to breathe ...then you will be successfull....

GIVE VALUE TO OFFICIAL QUESTIONS...



GMAT RCs VOCABULARY LIST: vocabulary-list-for-gmat-reading-comprehension-155228.html
learn AWA writing techniques while watching video : http://www.gmatprepnow.com/module/gmat- ... assessment
: http://www.youtube.com/watch?v=APt9ITygGss

Intern
Intern
avatar
Status: Individual
Joined: 03 Nov 2013
Posts: 2
Location: India
Concentration: Finance, Entrepreneurship
GMAT 1: 620 Q45 V31
WE: Account Management (Accounting)
Followers: 0

Kudos [?]: 5 [0], given: 1

Probability [#permalink] New post 02 Dec 2013, 13:27
Qs:

Every passenger on a certain airplane is from either Japan or Australia; no one is from both. Every passenger is reading either a novel or a biography; no one is reading both. If a passenger is to be selected at random, is the probability that the passenger is both from Japan and reading a novel greater than the probability that the passenger is both from Australia and reading a biography.

(1) The probability that a randomly selected passenger is either from Japan or reading a novel or both is .

(2) The probability that a randomly selected passenger is either from Australia or reading a biography or both is .


a!Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient.


b!Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient.


c!BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.


d!EACH statement ALONE is sufficient.


e!Statements (1) and (2) TOGETHER are NOT sufficient.
Expert Post
2 KUDOS received
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 5449
Location: Pune, India
Followers: 1331

Kudos [?]: 6775 [2] , given: 177

Re: Probability [#permalink] New post 02 Dec 2013, 20:35
2
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
garry_arora2000 wrote:
Qs:

Every passenger on a certain airplane is from either Japan or Australia; no one is from both. Every passenger is reading either a novel or a biography; no one is reading both. If a passenger is to be selected at random, is the probability that the passenger is both from Japan and reading a novel greater than the probability that the passenger is both from Australia and reading a biography.

(1) The probability that a randomly selected passenger is either from Japan or reading a novel or both is .

(2) The probability that a randomly selected passenger is either from Australia or reading a biography or both is .



You needn't give the standard 5 options for DS questions. They are the same for every question and people know them.

Make a table:

....................Japan...........Australia
Novel.............JN....................AN
Biography.......JB.....................AB

We need to know whether JN is greater than AB. JN represents number of people from Japan and reading a novel. AB represents number of people from Australia and reading a Biography and so on.
JN + AN + JB + AB = total number of people

(1) The probability that a randomly selected passenger is either from Japan or reading a novel or both is 208/251.

....................Japan...........Australia
Novel.............JN.....................AN
Biography......JB.....................AB

JN + AN + JB represent the passengers who are either from Japan or reading a novel or both. They sum up to 208 if total number of passengers is 251. This means AB = 251 - 208 = 43. But we don't know the value of JN so we cannot compare JN with AB.

(2) The probability that a randomly selected passenger is either from Australia or reading a biography or both is 172/251.
....................Japan...........Australia
Novel.............JN.....................AN
Biography......JB......................AB

AN + AB + JB = 172
So JN = 251 - 172 = 79
We don't AB so statement 2 alone is not sufficient to answer.

Using both statements we know AB = 43 and JN = 79 so JN is greater. Sufficient.
Answer (C)
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Veritas Prep GMAT course is coming to India. Enroll in our weeklong Immersion Course that starts March 29!

Veritas Prep Reviews

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 27170
Followers: 4226

Kudos [?]: 40942 [0], given: 5576

Re: Probability [#permalink] New post 03 Dec 2013, 00:42
Expert's post
garry_arora2000 wrote:
Qs:

Every passenger on a certain airplane is from either Japan or Australia; no one is from both. Every passenger is reading either a novel or a biography; no one is reading both. If a passenger is to be selected at random, is the probability that the passenger is both from Japan and reading a novel greater than the probability that the passenger is both from Australia and reading a biography.

(1) The probability that a randomly selected passenger is either from Japan or reading a novel or both is .

(2) The probability that a randomly selected passenger is either from Australia or reading a biography or both is .


a!Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient.


b!Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient.


c!BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.


d!EACH statement ALONE is sufficient.


e!Statements (1) and (2) TOGETHER are NOT sufficient.


Merging similar topics.

Please read carefully and follow: rules-for-posting-please-read-this-before-posting-133935.html Pay attention to the rules 1, 3, 7 and 10. Thank you.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

GMAT Club Premium Membership - big benefits and savings

Manager
Manager
avatar
Joined: 15 Aug 2013
Posts: 58
Followers: 0

Kudos [?]: 31 [0], given: 5

Re: Every passenger on a certain airplane is from either Japan [#permalink] New post 03 Dec 2013, 11:44
Hello all,

I am extremely sorry if this is not the correct place to ask but I could not find any other suitable section, so I am asking my query here.
Can someone(quant experts) please help me on probability - concepts and questions. I am quite good in other areas including permutation and combination.
My weaknes in probability is I do not know the resources to refer to improve my understanding and solve tough intermediate and tough problems.

Please guide since probability questions are most likely to come as the score increases.

Thanks.!!
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 27170
Followers: 4226

Kudos [?]: 40942 [0], given: 5576

Re: Every passenger on a certain airplane is from either Japan [#permalink] New post 04 Dec 2013, 01:31
Expert's post
zerosleep wrote:
Hello all,

I am extremely sorry if this is not the correct place to ask but I could not find any other suitable section, so I am asking my query here.
Can someone(quant experts) please help me on probability - concepts and questions. I am quite good in other areas including permutation and combination.
My weaknes in probability is I do not know the resources to refer to improve my understanding and solve tough intermediate and tough problems.

Please guide since probability questions are most likely to come as the score increases.

Thanks.!!


Theory on Combinations: math-combinatorics-87345.html

DS questions on Combinations: search.php?search_id=tag&tag_id=31
PS questions on Combinations: search.php?search_id=tag&tag_id=52

Tough and tricky questions on Combinations: hardest-area-questions-probability-and-combinations-101361.html


Theory on probability problems: math-probability-87244.html

All DS probability problems to practice: search.php?search_id=tag&tag_id=33
All PS probability problems to practice: search.php?search_id=tag&tag_id=54

Tough probability questions: hardest-area-questions-probability-and-combinations-101361.html


Hope it helps.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

GMAT Club Premium Membership - big benefits and savings

Intern
Intern
User avatar
Joined: 16 Feb 2014
Posts: 3
Location: India
Concentration: Technology, Marketing
GMAT 1: 630 Q46 V30
WE: Engineering (Computer Software)
Followers: 0

Kudos [?]: 0 [0], given: 8

Re: Every passenger on a certain airplane is from either Japan [#permalink] New post 16 Nov 2014, 05:34
VeritasPrepKarishma wrote:
garry_arora2000 wrote:
Qs:

Every passenger on a certain airplane is from either Japan or Australia; no one is from both. Every passenger is reading either a novel or a biography; no one is reading both. If a passenger is to be selected at random, is the probability that the passenger is both from Japan and reading a novel greater than the probability that the passenger is both from Australia and reading a biography.

(1) The probability that a randomly selected passenger is either from Japan or reading a novel or both is .

(2) The probability that a randomly selected passenger is either from Australia or reading a biography or both is .



You needn't give the standard 5 options for DS questions. They are the same for every question and people know them.

Make a table:

....................Japan...........Australia
Novel.............JN....................AN
Biography.......JB.....................AB

We need to know whether JN is greater than AB. JN represents number of people from Japan and reading a novel. AB represents number of people from Australia and reading a Biography and so on.
JN + AN + JB + AB = total number of people

(1) The probability that a randomly selected passenger is either from Japan or reading a novel or both is 208/251.

....................Japan...........Australia
Novel.............JN.....................AN
Biography......JB.....................AB

JN + AN + JB represent the passengers who are either from Japan or reading a novel or both. They sum up to 208 if total number of passengers is 251. This means AB = 251 - 208 = 43. But we don't know the value of JN so we cannot compare JN with AB.

(2) The probability that a randomly selected passenger is either from Australia or reading a biography or both is 172/251.
....................Japan...........Australia
Novel.............JN.....................AN
Biography......JB......................AB

AN + AB + JB = 172
So JN = 251 - 172 = 79
We don't AB so statement 2 alone is not sufficient to answer.

Using both statements we know AB = 43 and JN = 79 so JN is greater. Sufficient.
Answer (C)




i do not understand why you say "JN + AN + JB represent the passengers who are either from Japan or reading a novel or both" . Shouldn't it be (JN+JB) + (JN+AN) + (JN) , which makes it 3JN+AN+JB. Please help!
Expert Post
1 KUDOS received
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 5449
Location: Pune, India
Followers: 1331

Kudos [?]: 6775 [1] , given: 177

Re: Every passenger on a certain airplane is from either Japan [#permalink] New post 16 Nov 2014, 21:47
1
This post received
KUDOS
Expert's post
GIGMAT wrote:
VeritasPrepKarishma wrote:
garry_arora2000 wrote:
Qs:

Every passenger on a certain airplane is from either Japan or Australia; no one is from both. Every passenger is reading either a novel or a biography; no one is reading both. If a passenger is to be selected at random, is the probability that the passenger is both from Japan and reading a novel greater than the probability that the passenger is both from Australia and reading a biography.

(1) The probability that a randomly selected passenger is either from Japan or reading a novel or both is .

(2) The probability that a randomly selected passenger is either from Australia or reading a biography or both is .



You needn't give the standard 5 options for DS questions. They are the same for every question and people know them.

Make a table:

....................Japan...........Australia
Novel.............JN....................AN
Biography.......JB.....................AB

We need to know whether JN is greater than AB. JN represents number of people from Japan and reading a novel. AB represents number of people from Australia and reading a Biography and so on.
JN + AN + JB + AB = total number of people

(1) The probability that a randomly selected passenger is either from Japan or reading a novel or both is 208/251.

....................Japan...........Australia
Novel.............JN.....................AN
Biography......JB.....................AB

JN + AN + JB represent the passengers who are either from Japan or reading a novel or both. They sum up to 208 if total number of passengers is 251. This means AB = 251 - 208 = 43. But we don't know the value of JN so we cannot compare JN with AB.

(2) The probability that a randomly selected passenger is either from Australia or reading a biography or both is 172/251.
....................Japan...........Australia
Novel.............JN.....................AN
Biography......JB......................AB

AN + AB + JB = 172
So JN = 251 - 172 = 79
We don't AB so statement 2 alone is not sufficient to answer.

Using both statements we know AB = 43 and JN = 79 so JN is greater. Sufficient.
Answer (C)




i do not understand why you say "JN + AN + JB represent the passengers who are either from Japan or reading a novel or both" . Shouldn't it be (JN+JB) + (JN+AN) + (JN) , which makes it 3JN+AN+JB. Please help!


You are counting instances, not people. We need the number of people instead.

JN is the number of people who are Japanese and reading novels. JB is the number of people who are Japanese and reading biographies. Total JN and JB account for all Japanese.
AN is the number of Aussies reading novels. AB is the number of Aussies who are reading biographies. AN + AB account for all Aussies.

JN+JB+AN+AB account for all people in the plane.

Number of people who are either from Japan or reading a novel or both includes all people on the plane except Aussies who are reading biographies.
So JN+JB+AN represents the number of people who are either Japanese or reading a novel or both.

You have double/triple counted the people.
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Veritas Prep GMAT course is coming to India. Enroll in our weeklong Immersion Course that starts March 29!

Veritas Prep Reviews

Re: Every passenger on a certain airplane is from either Japan   [#permalink] 16 Nov 2014, 21:47
    Similar topics Author Replies Last post
Similar
Topics:
7 Experts publish their posts in the topic Every person in a certain group is either a Dodgers fan or a Yankees Bunuel 7 23 Mar 2015, 05:32
2 Experts publish their posts in the topic At a certain circus, every child was given either two or three balloon Bunuel 2 14 Nov 2014, 08:55
4 Experts publish their posts in the topic Passengers must exit airplanes swiftly after accidents, sinc Bunuel 2 10 Jul 2014, 14:07
4 Experts publish their posts in the topic Passengers must exit airplanes swiftly after accidents, lexis 42 10 May 2009, 03:55
Passengers must exit airplanes swiftly after accidents, andy_gr8 11 24 Jan 2006, 18:34
Display posts from previous: Sort by

Every passenger on a certain airplane is from either Japan

  Question banks Downloads My Bookmarks Reviews Important topics  


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

Powered by phpBB © phpBB Group and phpBB SEO

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®.