It is currently 18 Nov 2018, 14:45
My Tests

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.

Comapre two exponentials 950^2000 and 10^6000

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4711
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1614 [0], given: 376

CAT Tests
Comapre two exponentials 950^2000 and 10^6000 [#permalink] New post 26 Jan 2016, 00:53
Expert's post
00:00

Question Stats:

67% (00:52) correct 32% (01:02) wrong based on 40 sessions
Quantity A
Quantity B
\(950^{2,000}\)
\(10^{6,000}\)


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.




Practice Questions
Question: 3
Page: 465
Difficulty: hard
[Reveal] Spoiler: OA

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

1 KUDOS received
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4711
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1614 [1] , given: 376

CAT Tests
Re: Comapre two exponentials 950^2000 and 10^6000 [#permalink] New post 26 Jan 2016, 00:58
1
This post received
KUDOS
Expert's post
Solution

Note that 950 is close to, but a little less than, 1,000, or \(10^3\). So

\(950 <1000\)

or \(950^2^0^0^0 <1000^2^0^0^0\)

or \(950^2^0^0^0 <(10^3)^2^0^0^0\)

or \(950^2^0^0^0 < 10^6^0^0^0\)

Hence Choice B is the correct option.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Moderator
Moderator
User avatar
Joined: 18 Apr 2015
Posts: 4914
Followers: 74

Kudos [?]: 977 [0], given: 4499

CAT Tests
Re: Comapre two exponentials 950^2000 and 10^6000 [#permalink] New post 27 Jan 2016, 15:59
Expert's post
Another way to solve the question is to get rid of the exponents

\(950^2*10^3\) and \(10^6*10^3\). You can disregard \(10^3\) so we have \(10^6\) and \(950^2.\) The latter is far less inferior than the first one value \(10^6\)

So the answer is B
_________________

Get the 2 FREE GREPrepclub Tests

Intern
Intern
Joined: 22 Apr 2016
Posts: 6
Followers: 0

Kudos [?]: 3 [0], given: 15

Re: Comapre two exponentials 950^2000 and 10^6000 [#permalink] New post 26 Apr 2016, 04:11
well, to compare two exponent, we can convert (10)6000 into (1000)^2000. so clearly answer is (B)
Intern
Intern
Joined: 16 Aug 2015
Posts: 7
Followers: 0

Kudos [?]: 2 [0], given: 5

Re: Comapre two exponentials 950^2000 and 10^6000 [#permalink] New post 27 May 2016, 18:21
sandy wrote:
Quantity A
Quantity B
\(950^{2,000}\)
\(10^6^0^0^0\)


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.




Practice Questions
Question: 3
Page: 465
Difficulty: hard


950^2000 && 10^6000

950^(6000/3) && 10^6000

(950^(1/3))^6000 && 10^6000

As 9^3=729 < 950 < 10^3
Therefore, 950^(1/3) = 9.something


So, (9.something)^ 6000 < 10^6000 as (9.something) < 10
Ans B
GRE Instructor
User avatar
Joined: 10 Apr 2015
Posts: 1177
Followers: 44

Kudos [?]: 1054 [0], given: 6

CAT Tests
Re: Comapre two exponentials 950^2000 and 10^6000 [#permalink] New post 01 Jun 2016, 14:45
Expert's post
sandy wrote:
Quantity A
Quantity B
\(950^{2,000}\)
\(10^6^0^0^0\)


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.



Given:
Quantity A: 950^2000
Quantity B: 10^6000

Rewrite quantity B as follows:
Quantity A: 950^2000
Quantity B: (10^3)^2000

Simplify quantity B as follows:
Quantity A: 950^2000
Quantity B: 1000^2000

[Reveal] Spoiler:
B


RELATED RESOURCE (video)
- https://www.greenlighttestprep.com/modu ... video/1026

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com
Image
Sign up for our free GRE Question of the Day emails

1 KUDOS received
Manager
Manager
Joined: 22 Feb 2018
Posts: 90
Followers: 2

Kudos [?]: 65 [1] , given: 9

Re: Comapre two exponentials 950^2000 and 10^6000 [#permalink] New post 16 Mar 2018, 13:08
1
This post received
KUDOS
correct: B
In this kind of questions we should do some changes to make the different options look same in some way in order to simply compare them.
950 ^ 2000 = (9.5 * 10 * 10) ^ 2000 = 9.5^2000 * 10^2000 * 10^2000 < 10^2000 * 10^2000 * 10^2000 which the right side equals to (10^2000)^3 = 10^(2000*3) = 10^6000

So 950 ^2000 is less than 10^ 6000 and B is correct.

Another approach is starting with 10^ 6000 which equals (10^3)^2000. now power of 950^2000 and (10^3)^2000 are same. and we know 950 is less than 1000=10^3
Re: Comapre two exponentials 950^2000 and 10^6000   [#permalink] 16 Mar 2018, 13:08
Display posts from previous: Sort by

Comapre two exponentials 950^2000 and 10^6000

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.