It is currently 20 Sep 2020, 12:21

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

0.91^8/0.91^9

 Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
Active Member
Joined: 07 Jan 2018
Posts: 694
Followers: 11

Kudos [?]: 769 [1] , given: 88

0.91^8/0.91^9 [#permalink]  13 Jun 2018, 22:16
1
This post received
KUDOS
00:00

Question Stats:

78% (00:15) correct 21% (00:13) wrong based on 64 sessions
 Quantity A Quantity B $$\frac{0.91^8}{0.91^9}$$ 1

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
[Reveal] Spoiler: OA
GRE Instructor
Joined: 10 Apr 2015
Posts: 3826
Followers: 148

Kudos [?]: 4470 [1] , given: 69

Re: 0.91^8/0.91^9 [#permalink]  14 Jun 2018, 06:11
1
This post received
KUDOS
Expert's post
amorphous wrote:
 Quantity A Quantity B $$\frac{0.91^8}{0.91^9}$$ 1

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

Approach #1:
Given:
Quantity A: (0.91^8)/(0.91^9)
Quantity B: 1

Apply Quotient Law to quantity A to get:
Quantity A: 0.91^(-1)
Quantity B: 1

Rewrite quantity A as:
Quantity A: 1/0.91
Quantity B: 1

Since the numerator (1) is greater than the denominator (0.91), we know that 1/0.91 is greater than 1

Answer: A

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com
If you enjoy my solutions, you'll like my GRE prep course.

Sign up for GRE Question of the Day emails

GRE Instructor
Joined: 10 Apr 2015
Posts: 3826
Followers: 148

Kudos [?]: 4470 [1] , given: 69

Re: 0.91^8/0.91^9 [#permalink]  14 Jun 2018, 06:14
1
This post received
KUDOS
Expert's post
amorphous wrote:
 Quantity A Quantity B $$\frac{0.91^8}{0.91^9}$$ 1

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

Approach #2:

We can solve this question using matching operations

Given:
Quantity A: (0.91^8)/(0.91^9)
Quantity B: 1

Multiply both quantities by 0.91^9 to get:
Quantity A: 0.91^8
Quantity B: 0.91^9

Divide both quantities by 0.91^8 to get:
Quantity A: 1
Quantity B: 0.91

Answer: A

RELATED VIDEO FROM OUR COURSE

_________________

Brent Hanneson – Creator of greenlighttestprep.com
If you enjoy my solutions, you'll like my GRE prep course.

Sign up for GRE Question of the Day emails

Manager
Joined: 02 Sep 2019
Posts: 69
Concentration: Finance
GRE 1: Q151 V148
GPA: 3.14
Followers: 1

Kudos [?]: 39 [1] , given: 21

Re: 0.91^8/0.91^9 [#permalink]  12 Jun 2020, 10:59
1
This post received
KUDOS
Another solution is to multiply both quantities by 0.91^9 and by doing so we get
A
0.91^8

B
0.91^9

And we know that any numbers between 0 and 1 raise to power, its value decrease as the power increases. 1/2> (1/2)^2 and such that.
Here clearly that A is Bigger than B.

Regards,,,
Re: 0.91^8/0.91^9   [#permalink] 12 Jun 2020, 10:59
Display posts from previous: Sort by

0.91^8/0.91^9

 Question banks Downloads My Bookmarks Reviews Important topics

 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®.