Forum Home > GMAT > Quantitative > Problem Solving (PS)
Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Dec 1310:00 AM EST
-12:00 PM EST
Have you ever wondered how to score a PERFECT 805 on the GMAT? Meet Julia, a banking professional who used the Target Test Prep course to achieve this incredible feat. Julia's story is nothing short of an inspiration.
Dec 1410:00 AM EST
-12:00 PM EST
Think a 100% GMAT Verbal score is out of your reach? Target Test Prep will make you think again! Our course uses techniques such as topical study and spaced repetition to maximize knowledge retention and make studying simple and fun.
Dec 1411:00 AM IST
-01:00 PM IST
Attend this session to learn how to Deconstruct arguments, Pre-Think Author’s Assumptions, and apply Negation Test.- Dec 15
11:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease. 
Dec 1608:00 AM PST
-11:59 PM PST
GMAT Club 12 Days of Christmas is a 4th Annual GMAT Club Winter Competition based on solving questions. This is the Winter GMAT competition on GMAT Club with an amazing opportunity to win over $40,000 worth of prizes!
11 Nov 2019, 03:56
Kudos
Bookmarks
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
(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
13 Nov 2019, 00:22
Kudos
Bookmarks
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
(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:
