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

It is currently 31 Jul 2015, 23:54
GMAT Club Tests

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

During a 6·day local trade show, the least number of people

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Manager
Manager
avatar
Joined: 02 Dec 2012
Posts: 178
Followers: 3

Kudos [?]: 890 [1] , given: 0

During a 6·day local trade show, the least number of people [#permalink] New post 13 Dec 2012, 06:42
1
This post received
KUDOS
8
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

66% (02:42) correct 34% (01:58) wrong based on 491 sessions
During a 6·day local trade show, the least number of people registered in a single day was 80. Was the average (arithmetic mean) number of people registered per day for the 6 days greater than 90 ?

(1) For the 4 days with the greatest number of people registered, the average (arithmetic mean) number registered per day was 100.
(2) For the 3 days with the smallest number of people registered, the average (arithmetic mean) number registered per day was 85.
[Reveal] Spoiler: OA
Expert Post
6 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 28781
Followers: 4594

Kudos [?]: 47418 [6] , given: 7123

Re: During a 6·day local trade show, the least number of people [#permalink] New post 13 Dec 2012, 06:49
6
This post received
KUDOS
Expert's post
2
This post was
BOOKMARKED
During a 6·day local trade show, the least number of people registered in a single day was 80. Was the average (arithmetic mean) number of people registered per day for the 6 days greater than 90 ?

The question basically asks whether more than 6*90=540 people registered during the show.

(1) For the 4 days with the greatest number of people registered, the average (arithmetic mean) number registered per day was 100 --> in these 4 days total of 4*100=400 people registered. Since the minimum number of people registered on the other two days is 80*2=160, then the total number of people registered is at least 400+160=560. Sufficient.

(2) For the 3 days with the smallest number of people registered, the average (arithmetic mean) number registered per day was 85. Clearly insufficient. Consider: {85, 85, 85, 86, 86, 86} and {85, 85, 85, 1,000, 1,000, 1,000}.

Answer: A.
_________________

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

PLEASE READ AND FOLLOW: 12 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 ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. 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?
25 extra-hard Quant Tests

GMAT Club Premium Membership - big benefits and savings

Senior Manager
Senior Manager
User avatar
Status: Prevent and prepare. Not repent and repair!!
Joined: 13 Feb 2010
Posts: 277
Location: India
Concentration: Technology, General Management
GPA: 3.75
WE: Sales (Telecommunications)
Followers: 9

Kudos [?]: 45 [0], given: 282

Re: During a 6·day local trade show, the least number of people [#permalink] New post 27 Dec 2012, 07:50
(2) For the 3 days with the smallest number of people registered, the average (arithmetic mean) number registered per day was 85. Clearly insufficient. Consider: {85, 85, 85, 86, 86, 86} and {85, 85, 85, 1,000, 1,000, 1,000}.

Answer: A.[/quote]


Bunuel,

From my understanding. It says the first 3 days the avg is 85. IT does not talk about the other 3 days. It can vary from 80 to anything. So is there any specific reason you wrote {85, 85, 85, 86, 86, 86}??
_________________

I've failed over and over and over again in my life and that is why I succeed--Michael Jordan
Kudos drives a person to better himself every single time. So Pls give it generously
Wont give up till i hit a 700+

Manager
Manager
User avatar
Joined: 24 Sep 2012
Posts: 90
Location: United States
Concentration: Entrepreneurship, International Business
GMAT 1: 730 Q50 V39
GPA: 3.2
WE: Education (Education)
Followers: 4

Kudos [?]: 88 [0], given: 3

Re: During a 6·day local trade show, the least number of people [#permalink] New post 20 Feb 2013, 18:40
rajathpanta wrote:
(2) For the 3 days with the smallest number of people registered, the average (arithmetic mean) number registered per day was 85. Clearly insufficient. Consider: {85, 85, 85, 86, 86, 86} and {85, 85, 85, 1,000, 1,000, 1,000}.

Answer: A.



Bunuel,

From my understanding. It says the first 3 days the avg is 85. IT does not talk about the other 3 days. It can vary from 80 to anything. So is there any specific reason you wrote {85, 85, 85, 86, 86, 86}??[/quote]

Hi,

I might be able to help you there. You were right in saying that the values can range from 85 to anything. However, it cannot be 85 since three days with the least value have already been mentioned. Let's take the immediate bigger value=86. Similarly since it can range to anything you can take 100,000 as the upper limit. This might be the reason that Bunuel took those examples.

In such questions, it might help you to test extreme cases or cases that might result in the option yielding both yes and no answers.

Hope this helps.
_________________

Thanks
Kris
Instructor at Aspire4GMAT

Visit us at http://www.aspire4gmat.com

Post your queries
Join our free GMAT course

New blog: How to get that 700+
New blog: Data Sufficiency Tricks


Press Kudos if this helps!

1 KUDOS received
Manager
Manager
User avatar
Joined: 12 Jan 2013
Posts: 249
Followers: 3

Kudos [?]: 37 [1] , given: 47

GMAT ToolKit User
Re: During a 6·day local trade show, the least number of people [#permalink] New post 13 Jan 2014, 06:59
1
This post received
KUDOS
Walkabout wrote:
During a 6·day local trade show, the least number of people registered in a single day was 80. Was the average (arithmetic mean) number of people registered per day for the 6 days greater than 90 ?

(1) For the 4 days with the greatest number of people registered, the average (arithmetic mean) number registered per day was 100.
(2) For the 3 days with the smallest number of people registered, the average (arithmetic mean) number registered per day was 85.



Basically, they're both telling us that there's AT LEAST 480 people in total, for all days, and they're asking us if there were more than 540 people registered, in total.

1) 4* 100 = 400, + the smallest value which is 80. And since we know that the 6:th value has to be greater than 80, then we know that more than 540 people were registered. So 1) is sufficient

2) This only tells us that more than 255 people were registered, but this gives us no further insight in if total people registered is > 540.. So insufficient

Answer is A
Intern
Intern
avatar
Joined: 13 Aug 2014
Posts: 10
Location: United States
Concentration: Technology, Finance
GPA: 3.85
WE: Programming (Computer Software)
Followers: 0

Kudos [?]: 24 [0], given: 1

During a 6-day local trade show, the least number of people registered [#permalink] New post 10 Dec 2014, 17:02
During a 6-day local trade show, the least number of people registered in a single day was 80. Was the average (arithmetic mean) number of people registered per day for the 6 days greater than 90?
(1) For the 4 days with the greatest number of people registered, the average (arithmetic mean) number registered per day was 100.
(2) For the 3 days with the smallest number of people registered, the average (arithmetic mean) number registered per day was 85.
_________________

please give Kudos if you like my posts :)

Intern
Intern
avatar
Joined: 13 Aug 2014
Posts: 10
Location: United States
Concentration: Technology, Finance
GPA: 3.85
WE: Programming (Computer Software)
Followers: 0

Kudos [?]: 24 [0], given: 1

Re: During a 6-day local trade show, the least number of people registered [#permalink] New post 10 Dec 2014, 17:15
it has been given that least number of people registered per day was 80
Option 1: The total number of people registered for 4 days will be 400.
So the average will be 400+80(least no of people)+81(>80)/6=561(>)/6=90+(>) .Sufficient

Option 2: The total number of people registered for 3 days with least people is 255. total number of people for 2 days is 255-80=175 leaves us the option of 87 and 88 people attending for other 2 days.(keeping the maximum of 2 days minimum ). Assume other 3 days attendance was 89 per each day or 95 per each day. Since different value yield a different result this option is not sufficient


The Answer is A

please correct me if I wrong.
_________________

please give Kudos if you like my posts :)

Intern
Intern
avatar
Joined: 18 Nov 2014
Posts: 10
Location: Thailand
Concentration: Entrepreneurship, Marketing
GMAT 1: 650 Q48 V30
GMAT 2: 710 Q49 V36
GPA: 3.77
WE: Corporate Finance (Other)
Followers: 0

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

GMAT ToolKit User Premium Member
Re: During a 6-day local trade show, the least number of people registered [#permalink] New post 10 Dec 2014, 18:52
kukr007 wrote:
During a 6-day local trade show, the least number of people registered in a single day was 80. Was the average (arithmetic mean) number of people registered per day for the 6 days greater than 90?
(1) For the 4 days with the greatest number of people registered, the average (arithmetic mean) number registered per day was 100.
(2) For the 3 days with the smallest number of people registered, the average (arithmetic mean) number registered per day was 85.


The question "Was the average (arithmetic mean) number of people registered per day for the 6 days greater than 90?" can be rewritten as "Was the total number of people registered for the 6 days greater than 540?".

Statement 1: the total number of people during the 4 days was 400. The least number of people in a single day was 80. The total number of people during the 5 days was 480. The 6th day has to be between 80 and 100. Therefore, total sum ranges from 560 to 580, both of which greater than 540. Statement 1 is sufficient.

Statement 2: the total number of people during the 3 days was 255 and this figure includes the day with the least number of people. The sum of the number of people during the remaining 3 days must be greater than 285, meaning, on average, there should be more than 95 people attending the the local trade show per day. Note that the total number of people during the 3 days was 255. If day with the least number of people was excluded, the sum of the number of people during the 2 days would be 175, implying an average of 87.5 people per day or more. This number could be either greater or lower than 95. Therefore, statement 2 is insufficient.

The answer must be A.
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 28781
Followers: 4594

Kudos [?]: 47418 [0], given: 7123

Re: During a 6·day local trade show, the least number of people [#permalink] New post 11 Dec 2014, 02:46
Expert's post
kukr007 wrote:
During a 6-day local trade show, the least number of people registered in a single day was 80. Was the average (arithmetic mean) number of people registered per day for the 6 days greater than 90?
(1) For the 4 days with the greatest number of people registered, the average (arithmetic mean) number registered per day was 100.
(2) For the 3 days with the smallest number of people registered, the average (arithmetic mean) number registered per day was 85.


Merging topics. Please search before posting. Thank you.
_________________

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

PLEASE READ AND FOLLOW: 12 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 ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. 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?
25 extra-hard Quant Tests

GMAT Club Premium Membership - big benefits and savings

Re: During a 6·day local trade show, the least number of people   [#permalink] 11 Dec 2014, 02:46
    Similar topics Author Replies Last post
Similar
Topics:
67 Experts publish their posts in the topic Are at least 10 percent of the people in Country X who are enigma123 22 04 Nov 2011, 11:23
Are at least 20% of the people in City H who are at least 30 anjanapadmaraj4 7 11 Aug 2011, 06:28
6 Experts publish their posts in the topic During a 6·day local trade show, the least number of people Baten80 6 14 May 2011, 11:08
7 Experts publish their posts in the topic For a trade show, two different cars are selected randomly ykaiim 7 18 Jun 2010, 03:25
18 Experts publish their posts in the topic Are at least 10 percent of the people in Country X who are study 19 22 Jan 2009, 09:22
Display posts from previous: Sort by

During a 6·day local trade show, the least number of people

  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®.