Last visit was: 24 Nov 2024, 02:09 It is currently 24 Nov 2024, 02:09
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep 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 GRE 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
PREVIOUS TOPIC
NEXT TOPIC

An interior designer decides to accent a wall with an evenly

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30017
Own Kudos [?]: 36368 [16]
Given Kudos: 25928
Send PM
An interior designer decides to accent a wall with an evenly [#permalink] New post   24 Nov 2020, 08:28
Expert Reply
16
Bookmarks
00:00

Question Stats:

40% (02:23) correct 60% (03:36) wrong based on 40 sessions

Hide Show timer Statistics

An interior designer decides to accent a wall with an evenly spaced row of stenciled circles. The wall is 31 feet 6 inches long, and each stenciled circle has an area of 36π square inches. If the designer wants to leave a space of x inches between each circle and at either end of the row, with no space left over, and x must be an integer, then what is the greatest possible number of circles that the designer can use?

Show: :: OA
29
Most Helpful Community Reply
avatar
freespirit113
Intern
Intern
Joined: 06 Oct 2020
Posts: 3
Own Kudos [?]: 7 [5]
Given Kudos: 0
Send PM
Re: An interior designer decides to accent a wall with an evenly [#permalink] New post   24 Dec 2020, 04:46
4
1
Bookmarks
Length of wall = 31*12 + 6 =378......(1 feet =12 inches)
Area of circle = pi*(radius^2) = 36 pi
radius = 6
diameter=12
x is the space in between circles. To maximize the number of circles, we need to minimize the space in between the circles.
Also, as per the question, x is an integer.
Therefore, least integer we can consider is 1.
Now let p be the number of circles.
If there are x circles there will be x+1 spaces in between.
Now, length of wall = No. of circle*Length of diameter + Number of spaces * Length of each space
So, 12p+(p+1)(1)=378
Thus, 13p=377
p=29
General Discussion
avatar
B
endurance
Manager
Manager
Joined: 06 Nov 2020
Posts: 85
Own Kudos [?]: 69 [1]
Given Kudos: 101
Send PM
Re: An interior designer decides to accent a wall with an evenly [#permalink] New post   25 Nov 2020, 01:03
1
Bookmarks
32!
avatar
B
computerbot
Intern
Intern
Joined: 03 Feb 2016
Posts: 42
Own Kudos [?]: 28 [0]
Given Kudos: 6
Send PM
An interior designer decides to accent a wall with an evenly [#permalink] New post   08 Oct 2021, 19:47
freespirit113 wrote:
Length of wall = 31*12 + 6 =378......(1 feet =12 inches)
Area of circle = pi*(radius^2) = 36 pi
radius = 6
diameter=12
x is the space in between circles. To maximize the number of circles, we need to minimize the space in between the circles.
Also, as per the question, x is an integer.
Therefore, least integer we can consider is 1.
Now let p be the number of circles.
If there are x circles there will be x+1 spaces in between.
Now, length of wall = No. of circle*Length of diameter + Number of spaces * Length of each space
So, 12p+(p+1)(1)=378
Thus, 13p=377
p=29


If the wall starts with a circle and ends with a circle (designer wants to leave a space of x inches between each circle and at either end of the row, with no space left over) then how come the number of circles is smaller than the number of spaces.

For example: O is circle and - is space.

|O-O-O|
|O-O-O-O-O-O|
|O-O-O-O-O-O-O-O-O-O-O-O|

Please explain.
avatar
victiiii
Intern
Intern
Joined: 11 Oct 2021
Posts: 5
Own Kudos [?]: 15 [0]
Given Kudos: 6
Send PM
Re: An interior designer decides to accent a wall with an evenly [#permalink] New post   18 Oct 2021, 01:08
computerbot wrote:
freespirit113 wrote:
Length of wall = 31*12 + 6 =378......(1 feet =12 inches)
Area of circle = pi*(radius^2) = 36 pi
radius = 6
diameter=12
x is the space in between circles. To maximize the number of circles, we need to minimize the space in between the circles.
Also, as per the question, x is an integer.
Therefore, least integer we can consider is 1.
Now let p be the number of circles.
If there are x circles there will be x+1 spaces in between.
Now, length of wall = No. of circle*Length of diameter + Number of spaces * Length of each space
So, 12p+(p+1)(1)=378
Thus, 13p=377
p=29


If the wall starts with a circle and ends with a circle (designer wants to leave a space of x inches between each circle and at either end of the row, with no space left over) then how come the number of circles is smaller than the number of spaces.

For example: O is circle and - is space.

|O-O-O|
|O-O-O-O-O-O|
|O-O-O-O-O-O-O-O-O-O-O-O|

Please explain.



at either end of the row

This suggests that we need to start from a space and end with a space too.
SO the pattern will be:

-O-O-O-O-O-O-
avatar
B
aadityayadav12
Intern
Intern
Joined: 26 Sep 2024
Posts: 19
Own Kudos [?]: 14 [1]
Given Kudos: 39
Send PM
Re: An interior designer decides to accent a wall with an evenly [#permalink] New post   03 Oct 2024, 03:32
1
Wait your answer is right but the way you guys did is wrong because the question says at either end
so the situation will be one of these two : _circle_circle_circle_circle_circle OR circle_circle_circle_circle_circle_circle_
in any case the number of spaces == number of circles
now let c be the number of circles and we want to minimize the space so let it be 1 and the diameter of a circle is 12 as given in the equation.
so the real equation will be 12c +1c = 378(length in inches)
13c = 378
c = 29.07
so we can only make 29 full circles that is the right answer
Prep Club for GRE Bot
gmatclubot
Re: An interior designer decides to accent a wall with an evenly [#permalink]
03 Oct 2024, 03:32
Moderators:
adewale223
GRE Instructor
84 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1111 posts
VibhuAnurag
GRE Instructor
234 posts

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

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact