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

It is currently 23 Oct 2019, 16:27

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

a = 2^4·5^4 b = 3^4·11^2 c=2^2·5^6. Which of the following is true?

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

Hide Tags

Find Similar Topics 
Intern
Intern
avatar
Joined: 27 Apr 2016
Posts: 1
Reviews Badge
a = 2^4·5^4 b = 3^4·11^2 c=2^2·5^6. Which of the following is true?  [#permalink]

Show Tags

New post Updated on: 27 Mar 2019, 07:43
4
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

58% (01:58) correct 42% (02:05) wrong based on 86 sessions

HideShow timer Statistics

\(a = 2^4·5^4\), \(b = 3^4·11^2\), and \(c=2^2·5^6\). Which of the following is true?


A. a > b > c

B. b > a > c

C. b > c > a

D. c > b > a

E. c > a > b

Originally posted by anandgoyal on 17 Jul 2016, 20:03.
Last edited by Bunuel on 27 Mar 2019, 07:43, edited 3 times in total.
Renamed the topic and edited the question.
Veritas Prep GMAT Instructor
User avatar
V
Joined: 16 Oct 2010
Posts: 9705
Location: Pune, India
Re: a = 2^4·5^4 b = 3^4·11^2 c=2^2·5^6. Which of the following is true?  [#permalink]

Show Tags

New post 17 Jul 2016, 21:27
4
anandgoyal wrote:
\(a = 2^4·5^4 b = 3^4·11^2 c=2^2·5^6\) Which of the following is true?


a>b>c

b>a>c

b>c>a

c>b>a

c>a>b

dont forget to kudos


It is easy to compare a and c:

\(a = 2^4·5^4 = 2^2 * 5^4 * 4\)

\(c=2^2·5^6 = 2^2 * 5^4 * 25\)

So c > a

Now compare a and b:

a = 16 * 5 * 125 = 80 * 125
b = 3^4·11^2 = 81 * 121

a > b

Answer: c > a > b
(E)
_________________
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 >
Current Student
User avatar
B
Status: DONE!
Joined: 05 Sep 2016
Posts: 357
Re: a = 2^4·5^4 b = 3^4·11^2 c=2^2·5^6. Which of the following is true?  [#permalink]

Show Tags

New post 27 Oct 2016, 10:50
This one isn't too bad doing long hand.

a = 2^4 x 5^4 = 10^4 = 10,000
b = 3^4 x 11^2 = 81 x 121 = 9,801
c = 10^2 x 5^4 = 62,500

c>a>b

E is correct answer.
Board of Directors
User avatar
D
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4784
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User
Re: a = 2^4·5^4 b = 3^4·11^2 c=2^2·5^6. Which of the following is true?  [#permalink]

Show Tags

New post 27 Oct 2016, 11:20
anandgoyal wrote:
\(a = 2^4·5^4 b = 3^4·11^2 c=2^2·5^6\) Which of the following is true?


a>b>c

b>a>c

b>c>a

c>b>a

c>a>b



\(a = 2^4·5^4 = 10^4\) = 10000
\(b = 3^4·11^2 = 81.121\) ~ 9600
\(c=2^2·5^6 = 10.625\) = 62500

Thus we have - 62500 > 10000 > 9600 Or, c>a>b

Hence , answer will be (E) ...

PS : lawiniecke actual calculation for (B) may not be required , approximation is sufficient here, since the other numbers are wide apart..
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13421
Re: a = 2^4·5^4 b = 3^4·11^2 c=2^2·5^6. Which of the following is true?  [#permalink]

Show Tags

New post 22 Feb 2019, 09:39
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 Club Bot
Re: a = 2^4·5^4 b = 3^4·11^2 c=2^2·5^6. Which of the following is true?   [#permalink] 22 Feb 2019, 09:39
Display posts from previous: Sort by

a = 2^4·5^4 b = 3^4·11^2 c=2^2·5^6. Which of the following is true?

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





cron

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