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

It is currently 23 Jul 2014, 04:29

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

PS-Venn Diagrams

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Senior Manager
Senior Manager
User avatar
Joined: 04 Sep 2008
Posts: 262
Location: Kolkata
Schools: La Martiniere for Boys
Followers: 1

Kudos [?]: 19 [0], given: 9

GMAT Tests User
PS-Venn Diagrams [#permalink] New post 03 Apr 2009, 22:12
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

25% (01:02) correct 75% (01:48) wrong based on 19 sessions
According to a survey, at least 70% of people like apples, at least 75% like bananas and at least 80% like cherries. What is the minimum percentage of people who like all three?

A. 15%
B. 20%
C. 25%
D. 0%
E. 35%

_________________

Thanks
rampuria


Last edited by rampuria on 05 Apr 2009, 08:50, edited 1 time in total.
Expert Post
CEO
CEO
User avatar
Joined: 17 Nov 2007
Posts: 3604
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 349

Kudos [?]: 1683 [0], given: 354

GMAT ToolKit User GMAT Tests User Premium Member
Re: PS-Venn Diagrams [#permalink] New post 04 Apr 2009, 22:37
Expert's post
It seems that something is wrong with your answer options.

1) minimum apples&bananas:
[XXXXXXXXXXXXXX------] - apples
[-----XXXXXXXXXXXXXXX] - bananas
mimimum a&b = 70 - (100-75) = 45%

2) minimum (apples&bananas)&cherries:
[XXXXXXXXX-----------] - apples&bananas
[----XXXXXXXXXXXXXXXX] - cherries
mimimum a&b = 45 - (100-80) = 25%

_________________

HOT! GMAT TOOLKIT 2 (iOS) / GMAT TOOLKIT (Android) - The OFFICIAL GMAT CLUB PREP APP, a must-have app especially if you aim at 700+ | PrepGame

Senior Manager
Senior Manager
User avatar
Joined: 04 Sep 2008
Posts: 262
Location: Kolkata
Schools: La Martiniere for Boys
Followers: 1

Kudos [?]: 19 [0], given: 9

GMAT Tests User
Re: PS-Venn Diagrams [#permalink] New post 05 Apr 2009, 08:56
Walker, you're right. I have changed the options. Can you explain your answers.
I dont understand the maxima and minima concept in venn diagrams. Can you explain.

_________________

Thanks
rampuria

Expert Post
1 KUDOS received
CEO
CEO
User avatar
Joined: 17 Nov 2007
Posts: 3604
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 349

Kudos [?]: 1683 [1] , given: 354

GMAT ToolKit User GMAT Tests User Premium Member
Re: PS-Venn Diagrams [#permalink] New post 06 Apr 2009, 09:36
1
This post received
KUDOS
Expert's post
rampuria wrote:
Walker, you're right. I have changed the options. Can you explain your answers.
I dont understand the maxima and minima concept in venn diagrams. Can you explain.


My reasoning here is pretty simple:
let's we have two sets with x% and y% attributes.
What is maximum possible percentage of x&y attributes? We have to choose lesser number between x and y.
What is minimum possible percentage of x&y attributes? It is possible, when 100-x% elements have y attribute. So, for x&y y - (100-x) remains. You can see illustrations in my previous post one more time.

_________________

HOT! GMAT TOOLKIT 2 (iOS) / GMAT TOOLKIT (Android) - The OFFICIAL GMAT CLUB PREP APP, a must-have app especially if you aim at 700+ | PrepGame

SVP
SVP
User avatar
Joined: 07 Nov 2007
Posts: 1829
Location: New York
Followers: 25

Kudos [?]: 427 [0], given: 5

GMAT Tests User
Re: PS-Venn Diagrams [#permalink] New post 06 Apr 2009, 10:35
rampuria wrote:
According to a survey, at least 70% of people like apples, at least 75% like bananas and at least 80% like cherries. What is the minimum percentage of people who like all three?

A. 15%
B. 20%
C. 25%
D. 0%
E. 35%


least no.of people like A and B = 70+75-100=45

least no.of people like (A and B) and C = 45+80-100 =25

_________________

Your attitude determines your altitude
Smiling wins more friends than frowning

Senior Manager
Senior Manager
User avatar
Joined: 04 Sep 2008
Posts: 262
Location: Kolkata
Schools: La Martiniere for Boys
Followers: 1

Kudos [?]: 19 [0], given: 9

GMAT Tests User
Re: PS-Venn Diagrams [#permalink] New post 07 Apr 2009, 07:26
Very good explanation walker. Thanks.

Now, I also got stumped by the term 'at least' in the problem. What is its significance?

_________________

Thanks
rampuria

Expert Post
CEO
CEO
User avatar
Joined: 17 Nov 2007
Posts: 3604
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 349

Kudos [?]: 1683 [0], given: 354

GMAT ToolKit User GMAT Tests User Premium Member
Re: PS-Venn Diagrams [#permalink] New post 08 Apr 2009, 13:27
Expert's post
rampuria wrote:
Very good explanation walker. Thanks.

Now, I also got stumped by the term 'at least' in the problem. What is its significance?

We should understand that minimum for apples&bananas&cherries is minimum for "at least" values. If we take 71% for apples, we will get 26% > 25%.
"at least" steals a bit of our time....

_________________

HOT! GMAT TOOLKIT 2 (iOS) / GMAT TOOLKIT (Android) - The OFFICIAL GMAT CLUB PREP APP, a must-have app especially if you aim at 700+ | PrepGame

VP
VP
User avatar
Joined: 05 Jul 2008
Posts: 1436
Followers: 33

Kudos [?]: 209 [0], given: 1

GMAT Tests User
Re: PS-Venn Diagrams [#permalink] New post 08 Apr 2009, 17:16
walker wrote:
rampuria wrote:
Walker, you're right. I have changed the options. Can you explain your answers.
I dont understand the maxima and minima concept in venn diagrams. Can you explain.


My reasoning here is pretty simple:
let's we have two sets with x% and y% attributes.
What is maximum possible percentage of x&y attributes? We have to choose lesser number between x and y.
What is minimum possible percentage of x&y attributes? It is possible, when 100-x% elements have y attribute. So, for x&y y - (100-x) remains. You can see illustrations in my previous post one more time.


I have read this and the illustration multiple times. The min part still seems hazy to me

What I understand is you are applying (A U B) = A + B - ( A N B )

We will have min (A N B) when we have min A and min B values. Is that what you are saying?

If my interpretation is incorrect, can you/X2suresh take another stab?

Thanks
Manager
Manager
avatar
Joined: 25 May 2009
Posts: 146
Concentration: Finance
GMAT Date: 12-16-2011
Followers: 1

Kudos [?]: 34 [0], given: 2

Re: PS-Venn Diagrams [#permalink] New post 08 Jul 2009, 17:58
I also am not seeing the logic here. How do you solve using a venn diagram?
Manager
Manager
avatar
Joined: 11 Sep 2009
Posts: 109
Followers: 2

Kudos [?]: 13 [0], given: 0

Re: PS-Venn Diagrams [#permalink] New post 23 Oct 2009, 23:52
100 - (30 + 25 + 20) = 25
Manager
Manager
avatar
Joined: 22 Sep 2009
Posts: 222
Location: Tokyo, Japan
Followers: 2

Kudos [?]: 16 [0], given: 8

GMAT Tests User
Re: PS-Venn Diagrams [#permalink] New post 03 Dec 2009, 02:51
Really need help on this one... I also need a good review about Venn Diagrams and their formulas. Completely forgot everything
Manager
Manager
avatar
Joined: 29 Oct 2009
Posts: 57
Schools: Cambridge
Followers: 1

Kudos [?]: 9 [0], given: 14

Re: PS-Venn Diagrams [#permalink] New post 05 Dec 2009, 11:22
Although I did solve this one correctly but when I saw walker's explanation - it took sometime get the soln in my brain as another way of solving this Q. Anyway my way here follows -

Least nos of people who like A and B = 70 +75 - 100 = 45%
Least nos of people who like B and C = 75 +80 - 100 = 55%
Least nos of people who like A and C = 70 +80 - 100 = 50%

Now using the formula
A u B u C = n(A) + n(B) + n(c) - n(A n B) - n(B n C) - n(A n C) + n( All Three)
So we get, 70 + 75 + 80 -45 - 55 - 50 + n(All Three) = 100
Which implies - n(All three) = 100 -75 = 25%

Let me know what u guys think of this approach..

_________________

No Execuse..

1 KUDOS received
CEO
CEO
User avatar
Status: Nothing comes easy: neither do I want.
Joined: 12 Oct 2009
Posts: 2793
Location: Malaysia
Concentration: Technology, Entrepreneurship
Schools: ISB '15 (M)
GMAT 1: 670 Q49 V31
GMAT 2: 710 Q50 V35
Followers: 175

Kudos [?]: 890 [1] , given: 235

GMAT Tests User Reviews Badge
Re: PS-Venn Diagrams [#permalink] New post 12 Jan 2010, 10:57
1
This post received
KUDOS
rathoreaditya81 wrote:
Although I did solve this one correctly but when I saw walker's explanation - it took sometime get the soln in my brain as another way of solving this Q. Anyway my way here follows -

Least nos of people who like A and B = 70 +75 - 100 = 45%
Least nos of people who like B and C = 75 +80 - 100 = 55%
Least nos of people who like A and C = 70 +80 - 100 = 50%

Now using the formula
A u B u C = n(A) + n(B) + n(c) - n(A n B) - n(B n C) - n(A n C) + n( All Three)
So we get, 70 + 75 + 80 -45 - 55 - 50 + n(All Three) = 100
Which implies - n(All three) = 100 -75 = 25%

Let me know what u guys think of this approach..



This one is very gud but lengthy approach.
What about the following approach.

Min Who like all three = total - ( who doesn't like any one of all)

= 100- ( 100- 70 + 100-75 + 100-80) = 100-75 = 25/

_________________

Fight for your dreams :For all those who fear from Verbal- lets give it a fight

Money Saved is the Money Earned :)

Jo Bole So Nihaal , Sat Shri Akaal

:thanks Support GMAT Club by putting a GMAT Club badge on your blog/Facebook :thanks

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Gmat test review :
670-to-710-a-long-journey-without-destination-still-happy-141642.html

Manager
Manager
avatar
Joined: 27 Aug 2009
Posts: 148
Followers: 2

Kudos [?]: 12 [0], given: 1

GMAT Tests User
Re: PS-Venn Diagrams [#permalink] New post 12 Jan 2010, 16:20
nice one thanks for the explanation
Intern
Intern
avatar
Joined: 29 Nov 2009
Posts: 22
Location: Toronto
Followers: 0

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

Re: PS-Venn Diagrams [#permalink] New post 12 Jan 2010, 17:08
I3igDmsu wrote:
I also am not seeing the logic here. How do you solve using a venn diagram?

You can probably get away with using 1 venn diagram with three circles, but I found it easier to use 2.

Venn 1
cirlce 1 people who like A:70%
circle 2 people who like B: 75%
overlap: 70+75-100=45

Venn 2
circle 1 people who like both A&B 45%
circle 2 people who like C 80%
overlap: 80 + 45 - 100 = 25

Thus min =25%

that help at all?
Intern
Intern
avatar
Joined: 14 Apr 2010
Posts: 31
Followers: 0

Kudos [?]: 6 [0], given: 1

Re: PS-Venn Diagrams [#permalink] New post 26 Oct 2010, 05:12
Can someone explain this one with the help of vein diagrams ???

I understand that this will be a bit lengthy.

Thanks-V
Manager
Manager
avatar
Joined: 25 Aug 2010
Posts: 99
Followers: 1

Kudos [?]: 4 [0], given: 1

GMAT Tests User
Re: PS-Venn Diagrams [#permalink] New post 27 Oct 2010, 03:38
Still Confuse??? Please some one can give me the clear ans???
Re: PS-Venn Diagrams   [#permalink] 27 Oct 2010, 03:38
    Similar topics Author Replies Last post
Similar
Topics:
venn diagram ?? fluke 6 18 Jul 2011, 12:13
1 Diagrams ABADONNA 1 13 May 2009, 03:31
1 venn diagram vcbabu 9 29 Jan 2009, 10:20
Venn Diagram el1981 4 13 Sep 2007, 09:47
venn diagram cejismundo 6 31 Aug 2006, 12:23
Display posts from previous: Sort by

PS-Venn Diagrams

  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®.