GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 21 Oct 2019, 03:14

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

Which of the following has the greatest value?

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58423
Which of the following has the greatest value?  [#permalink]

Show Tags

New post 29 Aug 2017, 23:48
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

53% (02:03) correct 47% (01:59) wrong based on 321 sessions

HideShow timer Statistics

Most Helpful Expert Reply
GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 12 Sep 2015
Posts: 4015
Location: Canada
Re: Which of the following has the greatest value?  [#permalink]

Show Tags

New post 30 Aug 2017, 17:03
3
Top Contributor
4
Bunuel wrote:
Which of the following has the greatest value?


A. \(\frac{1}{5^37^3}\)

B. \(\frac{6}{5^47^3}\)

C. \(\frac{45}{5^47^4}\)

D. \(\frac{180}{5^57^4}\)

E. \(\frac{900}{5^57^5}\)


Multiply all fractions by the least common multiple of all 5 denominators: (5^5)(7^5)

We get:
A) (5²)(7²)
B) (6)(5)(7²)
C) (45)(5)(7)
D) (180)(7)
E) 900

Now divide the answer choices by 5 to get:
A) (5)(7²)
B) (6)(7²)
C) (45)(7)
D) (36)(7)
E) 180

B is clearly bigger than A - ELIMINATE A
C is clearly bigger than D and E - ELIMINATE D and E

We're left with B and C
B) (6)(7²)
C) (45)(7)

Rewrite B as follows:
B) (6)(7²) = (6)(7)(7) = (42)(7)

Now we can see that C is greater.

Answer:

RELATED VIDEO

_________________
Test confidently with gmatprepnow.com
Image
General Discussion
Current Student
User avatar
P
Joined: 18 Aug 2016
Posts: 603
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
GMAT ToolKit User Reviews Badge
Which of the following has the greatest value?  [#permalink]

Show Tags

New post 30 Aug 2017, 00:21
2
Bunuel wrote:
Which of the following has the greatest value?


A. \(\frac{1}{5^37^3}\)

B. \(\frac{6}{5^47^3}\)

C. \(\frac{45}{5^47^4}\)

D. \(\frac{180}{5^57^4}\)

E. \(\frac{900}{5^57^5}\)


A \(1/1 * 1/5^3*7^3\)
B \(6/5 * 1/5^3*7^3\)
C \(45/35 * 1/5^3*7^3\)
D \(180/175 * 1/5^3*7^3\)
E \(900/1225 * 1/5^3*7^3\)

C
_________________
We must try to achieve the best within us


Thanks
Luckisnoexcuse
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2815
Re: Which of the following has the greatest value?  [#permalink]

Show Tags

New post 02 Sep 2017, 07:17
1
Bunuel wrote:
Which of the following has the greatest value?


A. \(\frac{1}{5^37^3}\)

B. \(\frac{6}{5^47^3}\)

C. \(\frac{45}{5^47^4}\)

D. \(\frac{180}{5^57^4}\)

E. \(\frac{900}{5^57^5}\)


We can create a common denominator of (5^5)(7^5) for each answer choice. The choice with the largest numerator will be the fraction with the greatest value:

A)

[1/(5^3)(7^3)][(5^2)(7^2)/(5^2)(7^2)]

Numerator = (5^2)(7^2) = 1225

B)

[6/(5^4)(7^3)][(5^1)(7^2)/(5^1)(7^2)]

Numerator = (6)(5^1)(7^2) = 1470

C)

[45/(5^4)(7^4)][(5^1)(7^1)/(5^1)(7^1)]

Numerator = (45)(5^1)(7^1) = 1575

D)

[180/(5^5)(7^4)][(7^1)/(7^1)]

Numerator = (180)(7^1) = 1260

E)

Numerator = 900

Answer: C
_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Veritas Prep GMAT Instructor
User avatar
V
Joined: 16 Oct 2010
Posts: 9704
Location: Pune, India
Re: Which of the following has the greatest value?  [#permalink]

Show Tags

New post 05 Oct 2018, 00:22
1
Bunuel wrote:
Which of the following has the greatest value?


A. \(\frac{1}{5^37^3}\)

B. \(\frac{6}{5^47^3}\)

C. \(\frac{45}{5^47^4}\)

D. \(\frac{180}{5^57^4}\)

E. \(\frac{900}{5^57^5}\)


Use the number properties we know:

Whenever we multiply a positive number by another number greater than 1, the number increases. Whenever we multiply it by a number less than 1, the number decreases.
e.g.

2 * (1/2) = 1 (multiplying by 1/2, decreases 2 to 1)

(1/3) * 2 = (2/3) (multiplying by 2 increases 1/3 to 2/3)

A. \(\frac{1}{5^37^3}\)

B. \(\frac{6}{5^47^3}\)

\(= \frac{6}{5} * (A)\) so this is greater than option (A). Eliminate (A)

C. \(\frac{45}{5^47^4}\)

\(= \frac{7.5}{7} * (B)\) so this is greater than option (B). Eliminate (B)

D. \(\frac{180}{5^57^4}\)

\(= \frac{4}{5} * (C)\) so this is less than option (C). Eliminate (D)

E. \(\frac{900}{5^57^5}\)

\(= \frac{20}{35} * (C)\) so this is less than option (C). Eliminate (E)

Answer (C)
_________________
Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
GMAT Club Bot
Re: Which of the following has the greatest value?   [#permalink] 05 Oct 2018, 00:22
Display posts from previous: Sort by

Which of the following has the greatest value?

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





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne