Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

It is currently 27 May 2017, 17:05

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Which of these fractions has the greatest value?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

3 KUDOS received
Retired Moderator
User avatar
Status: 2000 posts! I don't know whether I should feel great or sad about it! LOL
Joined: 04 Oct 2009
Posts: 1672
Location: Peru
Schools: Harvard, Stanford, Wharton, MIT & HKS (Government)
WE 1: Economic research
WE 2: Banking
WE 3: Government: Foreign Trade and SMEs
Followers: 103

Kudos [?]: 993 [3] , given: 109

Which of these fractions has the greatest value? [#permalink]

Show Tags

New post 26 Jun 2012, 07:22
3
This post received
KUDOS
9
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

65% (03:08) correct 35% (01:04) wrong based on 318 sessions

HideShow timer Statistics

Which of these fractions has the greatest value?

(A) \(\frac{1}{(3*5)}\)

(B) \(\frac{2}{(3^2*5)}\)

(C) \(\frac{4}{(5^2*3)}\)

(D) \(\frac{8}{(3^2*5^2)}\)

(E) \(\frac{135}{(3^2*5^3)}\)

Source: http://www.gmathacks.com
[Reveal] Spoiler: OA

_________________

"Life’s battle doesn’t always go to stronger or faster men; but sooner or later the man who wins is the one who thinks he can."

My Integrated Reasoning Logbook / Diary: http://gmatclub.com/forum/my-ir-logbook-diary-133264.html

GMAT Club Premium Membership - big benefits and savings

Expert Post
8 KUDOS received
Math Expert
User avatar
P
Joined: 02 Sep 2009
Posts: 38921
Followers: 7742

Kudos [?]: 106353 [8] , given: 11622

Re: Which of these fractions has the greatest value? [#permalink]

Show Tags

New post 26 Jun 2012, 07:31
8
This post received
KUDOS
Expert's post
2
This post was
BOOKMARKED
Which of these fractions has the greatest value?

Transform fractions so that they have the common denominator of \(3^2*5^3\)

(A) \(\frac{1}{(3*5)}=\frac{3*5^2}{3^2*5^3}=\frac{75}{3^2*5^3}\);

(B) \(\frac{2}{(3^2*5)}=\frac{2*5^2}{3^2*5^3}=\frac{50}{3^2*5^3}\);

(C) \(\frac{4}{(3*5^2)}=\frac{4*(3*5)}{3^2*5^3}=\frac{60}{3^2*5^3}\);

(D) \(\frac{8}{(3^2*5^2)}=\frac{8*5}{3^2*5^3}=\frac{40}{3^2*5^3}\);

(E) \(\frac{135}{(3^2*5^3)}\).

Since option E has the greatest numerator then this fraction has the greatest value.

Answer: E.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 15491
Followers: 651

Kudos [?]: 210 [0], given: 0

Premium Member
Re: Which of these fractions has the greatest value? [#permalink]

Show Tags

New post 28 Jan 2014, 14:42
Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1857
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 51

Kudos [?]: 2175 [0], given: 193

Re: Which of these fractions has the greatest value? [#permalink]

Show Tags

New post 04 Mar 2014, 04:17
LCM of the denominator = Denominator of E

After multiplying the factors, see that numerator of all A,B,C,D is less than E

Having denominators same, more the value of numerator, more big would be the result
Answer = E

_________________

Kindly press "+1 Kudos" to appreciate :)

Current Student
avatar
Joined: 21 Oct 2013
Posts: 193
Location: Germany
GMAT 1: 660 Q45 V36
GPA: 3.51
Followers: 1

Kudos [?]: 40 [0], given: 19

Re: Which of these fractions has the greatest value? [#permalink]

Show Tags

New post 29 Aug 2014, 04:05
metallicafan wrote:
Which of these fractions has the greatest value?

(A) \(\frac{1}{(3*5)}\)

(B) \(\frac{2}{(3^2*5)}\)

(C) \(\frac{4}{(5^2*3)}\)

(D) \(\frac{8}{(3^2*5^2)}\)

(E) \(\frac{135}{(3^2*5^3)}\)

Source: http://www.gmathacks.com


You can quickly rule out that A > B > C > D. Now between A and E. Multiply 1/3*5 with 3*5² ---> 75/3²*5³. Hence E is greater.

E.
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 15491
Followers: 651

Kudos [?]: 210 [0], given: 0

Premium Member
Re: Which of these fractions has the greatest value? [#permalink]

Show Tags

New post 26 Sep 2015, 07:30
Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 15491
Followers: 651

Kudos [?]: 210 [0], given: 0

Premium Member
Re: Which of these fractions has the greatest value? [#permalink]

Show Tags

New post 30 Apr 2017, 15:42
Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Expert Post
Target Test Prep Representative
User avatar
B
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 1027
Location: United States (CA)
Followers: 34

Kudos [?]: 541 [0], given: 2

Re: Which of these fractions has the greatest value? [#permalink]

Show Tags

New post 06 May 2017, 17:26
metallicafan wrote:
Which of these fractions has the greatest value?

(A) \(\frac{1}{(3*5)}\)

(B) \(\frac{2}{(3^2*5)}\)

(C) \(\frac{4}{(5^2*3)}\)

(D) \(\frac{8}{(3^2*5^2)}\)

(E) \(\frac{135}{(3^2*5^3)}\)


Let’s compare each fraction by getting a common denominator of 3^2 x 5^3.

A)

[1/(3 x 5)][(3^1 x 5^2)/(3^1 x 5^2)] = (3^1 x 5^2)/(3^2 x 5^3)

B)

[2/(3^2 x 5)][5^2/5^2] = (2 x 5^2)/(3^2 x 5^3)

C)

[4/(5^2 x 3)][(5^1 x 3^1)/(5^1 x 3^1)] = (4 x 5^1 x 3^1)/(3^2 x 5^3)

D)

[8/(3^2 x 5^2)][5^1/5^1] = (8 x 5^1)/(3^2 x 5^3)

E)

135/(3^2 x 5^3)

We see that 135/(3^2 x 5^3) is the largest fraction.

Answer: E
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: Which of these fractions has the greatest value?   [#permalink] 06 May 2017, 17:26
    Similar topics Author Replies Last post
Similar
Topics:
6 Which expression has the greatest value? interceptor77 4 17 Nov 2016, 14:06
4 Experts publish their posts in the topic Which of the following fractions has the greatest value? NoHalfMeasures 4 11 Nov 2016, 12:30
15 Experts publish their posts in the topic Which of the following fractions has the greatest value jlgdr 8 31 Oct 2016, 06:26
27 Which of the following fractions has the greatest value? ppaulyni3 14 11 Nov 2016, 13:03
21 Experts publish their posts in the topic Which of the following has the greatest value? rahulms 12 17 Apr 2017, 17:31
Display posts from previous: Sort by

Which of these fractions has the greatest value?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.