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.
Nov 2007:30 AM PST
-08:30 AM PST
Learn what truly sets the UC Riverside MBA apart and how it helps in your professional growth
Nov 2211:00 AM IST
-01:00 PM IST
Do RC/MSR passages scare you? e-GMAT is conducting a masterclass to help you learn – Learn effective reading strategies Tackle difficult RC & MSR with confidence Excel in timed test environment- Nov 23
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. 
Nov 2510:00 AM EST
-11:00 AM EST
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors.
24 Jan 2012, 09:52
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:
56% (02:47) correct
44%
(02:31)
wrong
based on 380
sessions
History
Date
Time
Result
Not Attempted Yet
If n is one of the numbers in \(\frac{1}{3}\), \(\frac{3}{16}\), \(\frac{4}{7}\), \(\frac{3}{5}\) then what is the value of n?
(1) \(\frac{5}{16}<n<\frac{7}{12}\)
(2) \(\frac{7}{13}<n<\frac{19}{33}\)
(1) \(\frac{5}{16}<n<\frac{7}{12}\)
(2) \(\frac{7}{13}<n<\frac{19}{33}\)
24 Jan 2012, 11:04
Kudos
Bookmarks
LM
If n is one of the numbers in \(\frac{1}{3}\), \(\frac{3}{16}\), \(\frac{4}{7}\), \(\frac{3}{5}\) then what is the value of n?
The method of cross multiplication:
Suppose we want to know which positive fraction is greater \(\frac{4}{7}\) or \(\frac{7}{12}\). Cross-multiply --> \(4*12=48\) and \(7*7=49\) --> \(48<49\). Now, ask yourself, which fraction contributed nominator for the larger value? \(\frac{7}{12}\)! Thus \(\frac{4}{7}<\frac{7}{12}\).
(1) \(\frac{5}{16}<n<\frac{7}{12}\) --> \(\frac{5}{16}<(\frac{1}{3}=\frac{5}{15})<\frac{7}{12}\), hence \(\frac{1}{3}\) is obviously in the given range (notice also that \(\frac{1}{2}<\frac{7}{12}\)). Next, from our example above we know that \(\frac{4}{7}<\frac{7}{12}\) so \(\frac{4}{7}\) is also in the given range. Not sufficient.
(2) \(\frac{7}{13}<n<\frac{19}{33}\) --> only two values might be in this range: \(\frac{4}{7}\approx{5.7}\) and \(\frac{3}{5}=0.6\) (other possible values of n are less than 1/2 and are clearly out of the range). As the second one is larger, then let's compare it with \(\frac{19}{33}\) (the upper limit of the range). So we are comparing \(\frac{19}{33}\) and \(\frac{3}{5}\): cross-multiply --> \(3*33=99\) and \(19*5=95\) --> \(99>95\). Which fraction contributed nominator for the larger value? \(\frac{3}{5}\)! Thus \(\frac{3}{5}>\frac{19}{33}\), which means that \(\frac{3}{5}\) is out of the range. \(n\) can only be \(\frac{4}{7}\). Sufficient.
Answer: B.
Hope it's clear.
General Discussion
24 Jun 2013, 03:17
Kudos
Bookmarks
Bumping for review and further discussion*. Get a kudos point for an alternative solution!
*New project from GMAT Club!!! Check HERE
*New project from GMAT Club!!! Check HERE
All DS Fractions/Ratios/Decimals questions: search.php?search_id=tag&tag_id=36
All PS Fractions/Ratios/Decimals questions: search.php?search_id=tag&tag_id=57
All PS Fractions/Ratios/Decimals questions: search.php?search_id=tag&tag_id=57
