Last visit was: 19 Jan 2025, 03:52 It is currently 19 Jan 2025, 03:52
Home
GMAT
Messages
Tests
Schools
Reviews
Social
Chat
My Profile
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
Back to Forum
Create Topic
705-805 Level|   Geometry|      
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 19 Jan 2025
Posts: 98,773
Own Kudos:
694,915
 [7]
Given Kudos: 91,826
Products:
GMAT Club Tests Forum Quiz
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 98,773
Kudos: 694,915
 [7]
An irregular plot of land is surrounded by four straight segments of 11 Nov 2019, 03:56
Kudos
Add Kudos
6
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

85% (hard)

Question Stats:

49% (02:29) correct 51% (03:01) wrong based on 144 sessions

History

Date
Time
Result
Not Attempted Yet
An irregular plot of land is surrounded by four straight segments of fence of meter lengths (5x + 5), (5x + 5), (3x + 10) and 2x. Is the total length of fence greater than 70 meters?

(1) The average (arithmetic mean) fence segment length is less than 25 meters.

(2) The largest fence segment is three times the length of the smallest fence segment.


Are You Up For the Challenge: 700 Level Questions
ShowHide Answer
Official Answer
B
User avatar
chetan2u
User avatar
RC & DI Moderator
Joined: 02 Aug 2009
Last visit: 16 Jan 2025
Posts: 11,382
Own Kudos:
38,627
Given Kudos: 333
Status:Math and DI Expert
Products:
My Reviews
Expert reply
Posts: 11,382
Kudos: 38,627
An irregular plot of land is surrounded by four straight segments of 13 Nov 2019, 00:22
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
An irregular plot of land is surrounded by four straight segments of fence of meter lengths (5x + 5), (5x + 5), (3x + 10) and 2x. Is the total length of fence greater than 70 meters?

(1) The average (arithmetic mean) fence segment length is less than 25 meters.

(2) The largest fence segment is three times the length of the smallest fence segment.


Are You Up For the Challenge: 700 Level Questions

Total length =\((5x + 5)+ (5x + 5)+ (3x + 10)+ 2x=15x+20\)
So question is .. Is \(15x+20>{70}.....15x>{50}........x>{\frac{10}{3}}\)

1) The average (arithmetic mean) fence segment length is less than 25 meters.
\(\frac{15x+20}{4}\leq{25}.........15x+20\leq{100}........15x\leq{80}.......x\leq{\frac{16}{3}}\)
x=14/3..Yes
x=8/3...No

(2) The largest fence segment is three times the length of the smallest fence segment.
Since we do not know x, we cannot say if 5x+5 is greater or 3x+10, but 2x is surely the smallest
(a) 5x+5 is the greatest..
\(5x+5=3(2x)........x=5>\frac{10}{3}\)..Yes
(b) 3x+10 is the greatest..
\(3x+10=3(2x)........x=\frac{10}{3}\)..No
when \(x=\frac{10}{3}...3x+10=10+10=20....5x+5=\frac{50}{3}+5=\frac{65}{3}=21.66\)
So 5x+5 is always the greatest, and this option can be disregarded.
So x=5, and our answer is YES

B
Moderator:
Bunuel
Math Expert
98773 posts