Last visit was: 26 Apr 2024, 23:48 It is currently 26 Apr 2024, 23:48
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

The length of a rectangle is 3 inches, plus or min

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 28643
Own Kudos [?]: 33133 [7]
Given Kudos: 25178
Send PM
The length of a rectangle is 3 inches, plus or min [#permalink] New post   30 Jul 2017, 08:44
2
Expert Reply
5
Bookmarks
00:00

Question Stats:

58% (02:16) correct 41% (02:07) wrong based on 183 sessions

Hide Show timer Statistics



The length of a rectangle is 3 inches, plus or minus an amount no greater than \(\frac{1}{2}\) inch while its width is 2 inches, plus or minus an amount no greater than \(\frac{1}{4}\) inch. Which of the following could be the percentage by which the actual area of the rectangle is greater than or less than its nominal area of 6 square inches?

Indicate all that apply.

❑ -30%

❑ -25%

❑ +25%

❑ +30%
ShowHide Answer
Official Answer
B,C,D
Most Helpful Community Reply
avatar
fifan
Intern
Intern
Joined: 27 Jan 2019
Posts: 29
Own Kudos [?]: 53 [6]
Given Kudos: 0
Send PM
Re: The length of a rectangle is 3 inches, plus or min [#permalink] New post   20 Apr 2019, 01:59
6
Consider the range of values that L and W of rectangle can take.

2.5<=L <=3.5
1.75<=W<=2.25
We can multiply L and w to get the range of rectangles area.

4.375 <=LW<=7.875

The minimum area can be 4.375 while the maximum area can be 7.875. take the two extremes and calculate how much each is greater or less than the nominal area 6. The area can be at most 27% less than 6 or at most 31% greater than 6. so the area can be between the range -27% to 31% we can see that -25% +25% and +31% fall in this range.
General Discussion
User avatar
huda
Director
Director
Joined: 22 Jun 2019
Posts: 521
Own Kudos [?]: 638 [0]
Given Kudos: 161
Send PM

Top Member of the Month
Re: The length of a rectangle is 3 inches, plus or min [#permalink] New post   10 Dec 2019, 07:45
any other explanation?
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 28643
Own Kudos [?]: 33133 [0]
Given Kudos: 25178
Send PM
Re: The length of a rectangle is 3 inches, plus or min [#permalink] New post   10 Dec 2019, 07:50
Expert Reply
The above is the simplest way to solve it.

Possible other solutions would become cumbersome.

Regards
avatar
RSQUANT
Manager
Manager
Joined: 27 Nov 2019
Posts: 78
Own Kudos [?]: 187 [0]
Given Kudos: 0
Send PM
Re: The length of a rectangle is 3 inches, plus or min [#permalink] New post   24 Apr 2020, 02:40
2
huda wrote:
any other explanation?


YES

1/2 is 1/6th of 3 which means 16.67%

1/4 is 1/8th of 2 which means 12.5%

Increasing/decreasing length and breadth is like successive percentage increase/decrease in area

So successive percentage increase of 16.67 and 12.5 can be an overall 30% increase

But successive percentage decrease of 16.67 and 12.5 will be an overall decrease less than 29%

So -30% is not possible
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 28643
Own Kudos [?]: 33133 [0]
Given Kudos: 25178
Send PM
Re: The length of a rectangle is 3 inches, plus or min [#permalink] New post   24 Apr 2020, 06:06
Expert Reply
Thank you Sir for the explanation
User avatar
Farina
Senior Manager
Senior Manager
Joined: 10 Feb 2020
Posts: 496
Own Kudos [?]: 334 [0]
Given Kudos: 299
Send PM
Re: The length of a rectangle is 3 inches, plus or min [#permalink] New post   27 Jul 2020, 02:29
fifan wrote:
Consider the range of values that L and W of rectangle can take.

2.5<=L <=3.5
1.75<=W<=2.25
We can multiply L and w to get the range of rectangles area.

4.375 <=LW<=7.875

The minimum area can be 4.375 while the maximum area can be 7.875. take the two extremes and calculate how much each is greater or less than the nominal area 6. The area can be at most 27% less than 6 or at most 31% greater than 6. so the area can be between the range -27% to 31% we can see that -25% +25% and +31% fall in this range.


How did you calculate the percentage?
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 28643
Own Kudos [?]: 33133 [0]
Given Kudos: 25178
Send PM
Re: The length of a rectangle is 3 inches, plus or min [#permalink] New post   27 Jul 2020, 04:37
Expert Reply
I am quite sure you do not read our quant book.

The % change is well explained here https://gre.myprepclub.com/forum/gre-quant ... tml#p52034

\(\frac{7.875-6}{6}=0.3125 \times 100 = 31.25\) which is \(\approx 31\)%

Regards
User avatar
Farina
Senior Manager
Senior Manager
Joined: 10 Feb 2020
Posts: 496
Own Kudos [?]: 334 [0]
Given Kudos: 299
Send PM
Re: The length of a rectangle is 3 inches, plus or min [#permalink] New post   27 Jul 2020, 07:14
Carcass wrote:
I am quite sure you do not read our quant book.

The % change is well explained here https://gre.myprepclub.com/forum/gre-quant ... tml#p52034

\(\frac{7.875-6}{6}=0.3125 \times 100 = 31.25\) which is \(\approx 31\)%

Regards


Oh ofcourse I did read all the chapters and percent change formula is easiest of all to remember. I didnt read this question correctly though that it is asking for percent change :(
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 28643
Own Kudos [?]: 33133 [0]
Given Kudos: 25178
Send PM
Re: The length of a rectangle is 3 inches, plus or min [#permalink] New post   27 Jul 2020, 08:02
1
Expert Reply
In fact, the % change is what the question is asking you but it is not clearly stated. it is an inference reading it
avatar
B
Ola1100
Intern
Intern
Joined: 05 Jan 2023
Posts: 22
Own Kudos [?]: 16 [1]
Given Kudos: 35
GRE 1: Q164 V160
Send PM
Re: The length of a rectangle is 3 inches, plus or min [#permalink] New post   12 Apr 2023, 06:25
1
We can answer this question by looking within the allowable ranges of percentage changes.


Largest possible area is the area with using the length and breadth with the highest possible values.

Highest possible Length, L = 3+(1/2) = 3.5
Highest possible Breadth, B = 2+(1/4) = 2.25

Max Area, A = LB = 3.5*2.25= 7.875

Highest percentage increase = ((7.875 - 6)*100)/6 = +31.25%


Smallest possible area is the area with using the length and breadth with the lowest possible values.

Lowest possible Length, L2 = 3-(1/2) = 2.5
Lowest possible Breadth, B2 = 2-(1/4) = 1.75

Min Area, A (min) = LB = 2.5*1.75 = 4.375

Highest percentage decrease = ((4.375 - 6)*100)/6 = -27.08%

Only options B, C, and D are in between -27.08% and +31.25% and are correct.
User avatar
bumpbot
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 4432
Own Kudos [?]: 68 [0]
Given Kudos: 0
Send PM
Re: The length of a rectangle is 3 inches, plus or min [#permalink] New post   16 Apr 2024, 12:35
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Prep Club for GRE Bot
gmatclubot
[#permalink]
Moderators:
BrushMyQuant
Moderator
1085 posts
VibhuAnurag
GRE Instructor
218 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