NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 10:39 It is currently 26 Apr 2024, 10:39
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

A circle is divided into four sections. If three sections constitute

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
CAMANISHPARMAR
VP
VP
Joined: 12 Feb 2015
Posts: 1065
Own Kudos [?]: 2103 [2]
Given Kudos: 77
Send PM
A circle is divided into four sections. If three sections constitute [#permalink] New post   28 Mar 2020, 10:39
2
Bookmarks
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

91% (01:00) correct 9% (01:21) wrong based on 116 sessions
Hide Show timer Statistics
A circle is divided into four sections. If three sections constitute \(\frac{1}{4}\), \(\frac{2}{5}\) and \(\frac{3}{10}\) of its total area, respectively, what is the fractional value of the area of the fourth section?

A) 19/20

B) 16/19

C) 9/20

D) 1/10

E) 1/20
ShowHide Answer
Official Answer
E
User avatar
L
globaldesi
VP
VP
Joined: 28 Jul 2016
Posts: 1212
Own Kudos [?]: 1728 [0]
Given Kudos: 67
Location: India
Concentration: Finance, Human Resources
Schools: ISB '18 (D)
GPA: 3.97
WE:Project Management (Investment Banking)
Send PM
Reviews Badge
Re: A circle is divided into four sections. If three sections constitute [#permalink] New post   28 Mar 2020, 22:07
total area is composed by 4 sections.
Thus area of remaining section = \(1- ( \frac{1}{4} +\frac{2}{5}+\frac{3}{10})\)
\(1-\frac{19}{20}\)
\(\frac{1}{20}\)
E
User avatar
L
EgmatQuantExpert
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3726
Own Kudos [?]: 16844 [1]
Given Kudos: 165
Send PM
Re: A circle is divided into four sections. If three sections constitute [#permalink] New post   29 Mar 2020, 07:47
1
Bookmarks
Expert Reply

Solution



Given
In this question, we are given that
    • A circle is divided into four sections
    • Three sections constitute 1/4, 2/5 and 3/10 of its total area, respectively

To find
We need to determine
    • The fractional value of the area of the fourth section

Approach and Working out
Total proportion of area of the three sections = \(\frac{1}{4} + \frac{2}{5} + \frac{3}{10} = \frac{5}{20} + \frac{8}{20} + \frac{6}{20} = \frac{19}{20}\)
    • Remaining area = \(1 – \frac{19}{20} = \frac{1}{20}\)

Thus, option E is the correct answer.

Correct Answer: Option E
User avatar
L
Archit3110
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 8020
Own Kudos [?]: 4098 [0]
Given Kudos: 242
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Send PM
GMAT ToolKit User CAT Tests
Re: A circle is divided into four sections. If three sections constitute [#permalink] New post   29 Mar 2020, 09:13
CAMANISHPARMAR wrote:
A circle is divided into four sections. If three sections constitute \(\frac{1}{4}\), \(\frac{2}{5}\) and \(\frac{3}{10}\) of its total area, respectively, what is the fractional value of the area of the fourth section?

A) 19/20

B) 16/19

C) 9/20

D) 1/10

E) 1/20


let total area of circle = 100 ; pi * r^2
so the three parts are covering ; 1/4* 100 ; 25 ; 2/5*100 ; 40 and 3/10 ; 30
total covered area ; 25+40+30 ; 95
left 5 which is 5/100 ; 1/20 part
IMO E
User avatar
S
pandajee
Manager
Manager
Joined: 27 Nov 2018
Posts: 57
Own Kudos [?]: 31 [0]
Given Kudos: 70
Send PM
Re: A circle is divided into four sections. If three sections constitute [#permalink] New post   29 Mar 2020, 09:28
CAMANISHPARMAR wrote:
A circle is divided into four sections. If three sections constitute \(\frac{1}{4}\), \(\frac{2}{5}\) and \(\frac{3}{10}\) of its total area, respectively, what is the fractional value of the area of the fourth section?

A) 19/20

B) 16/19

C) 9/20

D) 1/10

E) 1/20


Another way of solving this problem is to convert the fraction to decimal (Do it only of you are good with decimals and you remember the common values of fractions like 1/2, 1/3, 1/4 etc..)

Area 1 = 1/4 = 0.25
Area 2 = 2/5 = 0.4
Area 3 = 3/10 = 0.3
Area of three sections= 0.25 + 0.4 +0.3 = 0.95

Fractional value of the area of the fourth section = 1 - (sum of other three areas) = 1 - 0.95 = 0.05 = 5 /100 = 1/ 20
Hence, Ans is E Hit KUDOS if you learned another way of solving this problem.
User avatar
B
felipehendrix
Intern
Intern
Joined: 18 Aug 2020
Posts: 13
Own Kudos [?]: 2 [0]
Given Kudos: 4
Send PM
A circle is divided into four sections. If three sections constitute [#permalink] New post   29 Apr 2021, 14:59
We need substract from the full circle the sections stated. For that we need to find the LCM

1-(1/4)-(2/5)-(3/10)= (20-5-8-6)/20 = 1/20

Answer is E
GMAT Club Bot
gmatclubot
A circle is divided into four sections. If three sections constitute [#permalink]
29 Apr 2021, 14:59
Moderators:
Bunuel
Math Expert
92945 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

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