GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video
close
It is currently 01 Mar 2021, 00:12
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
New comers' posts

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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
The diagram shows a square quilt pattern with an area of 36 square uni
7 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Tags:
Find Similar Topics 

Show Tags
Hide Tags

User avatar
V
Sajjad1994
GMAT Club team member
Joined: 02 Nov 2016
Status:GMAT Club Team Member
Affiliations: GMAT Club
Posts: 8172
GPA: 3.62
Premium Member CAT Tests Top Member of the Month
The diagram shows a square quilt pattern with an area of 36 square uni [#permalink] New post  08 Jan 2021, 08:00
Expert Reply
Attachment:
1.jpg
1.jpg [ 26.67 KiB | Viewed 289 times ]


The diagram shows a square quilt pattern with an area of 36 square units. The pattern is composed of 13 colored regions, each of which has an area, in square units, that is an integer. Based on the information provided, select from each drop-down menu the option that completes the statement most accurately.

Measured in square units, the mode of the areas of the 13 colored regions is exactly___________than the_____________of those areas.

First Blank

A. 1 Less
B. 2 Less
C. 1 Greater
D. 2 Greater

Second Blank

A. Rang
B. Mean
C. Median

Show SpoilerOA
A and A


IR Butler Competition 2021 - Participate and Win!
Question # 16, Date : 8-Jan-2021
This question is a part of IR Butler competition 2021. Click here for Details

_________________
My GMAT Resources
1. RC Butler 2021|2. IR Butler 2021
3. GMAT Club RC Mega thread - 2020 Edition
4. IR Mega thread - 2020 Edition|5. GMAT Prep IR Directory

Good Luck!
Signature Read More
Most Helpful Expert Reply
User avatar
V
Sajjad1994
GMAT Club team member
Joined: 02 Nov 2016
Status:GMAT Club Team Member
Affiliations: GMAT Club
Posts: 8172
GPA: 3.62
Premium Member CAT Tests Top Member of the Month
Re: The diagram shows a square quilt pattern with an area of 36 square uni [#permalink] New post  09 Jan 2021, 08:30
Expert Reply
Official Explanation

RO1

The diagram shows 2 regions of exactly 1 square unit, 3 regions of exactly 2 square units, 6 regions of exactly 3 square units, and 2 regions of exactly 5 square units. When listed in ascending order, the 13 areas are:

1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 5, 5.

For this list, the mode is equal to the listed area that appears most frequently, or 3; the mean is equal to the sum of the listed areas (36) divided by the number of colored regions (13), or approximately 2.8; the median is equal to the 7th greatest listed area, or 3; and the range is equal to the greatest of the listed areas (5) minus the least of the areas (1), or 4. Thus, the mode is approximately 0.2 greater than the mean, is equal to the median, and is exactly 1 less than the range.

The correct answer is 1 less.

RO2

As explained in the analysis of RO1, the mode of these areas is exactly 1 square unit less than the range of these areas.

The correct answer is range.

_________________
My GMAT Resources
1. RC Butler 2021|2. IR Butler 2021
3. GMAT Club RC Mega thread - 2020 Edition
4. IR Mega thread - 2020 Edition|5. GMAT Prep IR Directory

Good Luck!
Signature Read More
General Discussion
User avatar
G
Sumi1010
Senior Manager
Senior Manager
Joined: 21 Aug 2018
Posts: 380
Location: India
Re: The diagram shows a square quilt pattern with an area of 36 square uni [#permalink] New post  08 Jan 2021, 22:37
Measured in square units, the mode of the areas of the 13 colored regions is exactly___________than the_____________of those areas.

Blue - 8 units. (2,3,3)
White - 9 units.(3,3,3)
Grey - 10 units (2,3,5)
Orange - 9 units (1,1,2,5)
Thus, the set for the pattern is {1,1,2,2,2,3,3,3,3,3,3,5,5}.

Mean = sum/13 = 36/13
Median = 7th term= 3
Mode (the number that occurs the most frequently) = 3
Range = 5-1 = 4

Thus, mode is one less than Range.

First blank : A. 1 Less
Second blank : A. Range
avatar
G
Deepakjhamb
Senior Manager
Senior Manager
Joined: 29 Mar 2020
Posts: 266
Location: India
Concentration: General Management, Leadership
Schools: HBS '22, IIMA PGPX'22
GPA: 3.96
WE:Business Development (Telecommunications)
Premium Member CAT Tests
Re: The diagram shows a square quilt pattern with an area of 36 square uni [#permalink] New post  08 Jan 2021, 23:17
lets analyze this q :

we have 13 areas : now square is total 36 square units , so each side is 6 units and thus we have 36 squares with 1 unit sizes in this . Now lets find the areas of each different area coloured by observation : these come out to be

1,1,2,2,2,3,3,3,3,3,3,5,5 so we have mode = 3 , median = 3 , range = 5-1=4 and mean = 36/13 = 2.769

so the blanks fit in with only 2 items which is mode less than range by exactly 1

Measured in square units, the mode of the areas of the 13 colored regions is exactly___________than the_____________of those areas.

First Blank

answer is A. 1 less

A. 1 Less
B. 2 Less
C. 1 Greater
D. 2 Greater

Second Blank

answer is A. RANGE
A. Range
B. Mean
C. Median
avatar
G
rocky620
Moderator
Joined: 10 Nov 2018
Posts: 456
Location: India
Concentration: General Management, Strategy
Schools: IIMA PGPX'22, IIMB EPGP'22, IIMC PGPEX'22, ISB'22
WE:Other (Retail)
CAT Tests
Re: The diagram shows a square quilt pattern with an area of 36 square uni [#permalink] New post  09 Jan 2021, 02:45
Measured in square units, the mode of the areas of the 13 colored regions is exactly___________than the_____________of those areas.

Total regions = 13
Total Area = 36
Orange Region areas - 2, 5, 1, 1, Total=9
Blue Region areas - 3, 3, 2 Total=8
White Region areas - 3, 3, 3, Total=9
Grey Region areas - 3, 2, 5, Total=10

All Regions (arranged) = 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 5, 5

Mean = \(\frac{36}{13}\) ~ 2.7
Median (7th val) = 3
Mode (highest count) = 3
Range (highest - lowest) = 5-1 = 4

We can see that the Mode (3) is exactly 1 less than the Range (4). So,

First Blank - A. 1 Less
Second Blank - A. Range
avatar
G
TarunKumar1234
Director
Director
Joined: 14 Jul 2020
Posts: 962
CAT Tests
Re: The diagram shows a square quilt pattern with an area of 36 square uni [#permalink] New post  09 Jan 2021, 06:59
As per the figure attached, we have area of Square = 36 square units, so one side length= 6 and it is equally distributed by dots.

So, distance between 2 dots = 1 unit

Area of 1 = 2*1 =2 square units,
Area of 2 = 1*1 =1 square unit,
Area of 3 = 2*1 +1*1 =3 square units,
Area of 4 = 2*1 +1*1 =3 square units,
Area of 5 = 1*1 =1 square unit,
Area of 6 = 2*1 +1*1 =3 square units,
Area of 7 = 3*1 +1*1 +1*1 =5 square units,
Area of 8 = 4*1 +1*1 =5 square units,
Area of 9 = 2*1 +1*1 =3 square units,
Area of 10 = 2*1 +1*1 =3 square units,
Area of 11 = 2*1 +1*1 =3 square units,
Area of 12 = 2*1 =2 square units,
Area of 13 = 2*1 =2 square units,

Now, in areas in ascending order: 1,1,2,2,2,3,3,3,3,3,3,5,5
mode = count of the most repeated integer = 6
Range = 5-1 = 4, Median = 3, Mean= (1+1+2+2+2+3+3+3+3+3+3+5+5)/13 = 36/13~3

Mode- Range = 6-4 = 2

Measured in square units, the mode of the areas of the 13 colored regions is exactly___________than the_____________of those areas.

1st blank: 2 units greater. D.
2nd blank: Range. A.
Attachments

Fig.PNG
Fig.PNG [ 118.81 KiB | Viewed 246 times ]

User avatar
V
Sajjad1994
GMAT Club team member
Joined: 02 Nov 2016
Status:GMAT Club Team Member
Affiliations: GMAT Club
Posts: 8172
GPA: 3.62
Premium Member CAT Tests Top Member of the Month
Re: The diagram shows a square quilt pattern with an area of 36 square uni [#permalink] New post  09 Jan 2021, 08:15
Expert Reply
OA has been updated now its A for both blanks. Good work Sumi1010 and Deepakjhamb

I have feelings for you TarunKumar1234 you done a lot work but not in true direction :(

rocky620 I like it when you keep your post organized.

Official explanation will be posted soon have a look at that and match your answers and reasoning.

Thank you
_________________
My GMAT Resources
1. RC Butler 2021|2. IR Butler 2021
3. GMAT Club RC Mega thread - 2020 Edition
4. IR Mega thread - 2020 Edition|5. GMAT Prep IR Directory

Good Luck!
Signature Read More
GMAT Club Bot
gmatclubot
[#permalink]
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
chetan2u
Math Expert
9501 posts
Bunuel
Math Expert
72172 posts
Sajjad1994
GMAT Club team member
8172 posts
rocky620
Moderator
456 posts
Feedback

cron

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions