It is currently 15 Nov 2018, 13:19
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.

Which of the following numbers have a product that is

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Moderator
Moderator
User avatar
Joined: 18 Apr 2015
Posts: 4880
Followers: 74

Kudos [?]: 973 [0], given: 4488

CAT Tests
Which of the following numbers have a product that is [#permalink] New post 04 Jan 2017, 08:42
Expert's post
00:00

Question Stats:

50% (00:20) correct 50% (00:35) wrong based on 12 sessions


Which of the following numbers have a product that is between -1 and 0 ?

Indicate both of the numbers

□ \(-20\)

□ \(-10\)

□ \(2^{-4}\)

□ \(3^{-2}\)
[Reveal] Spoiler: OA

_________________

Get the 2 FREE GREPrepclub Tests

1 KUDOS received
GRE Instructor
User avatar
Joined: 10 Apr 2015
Posts: 1179
Followers: 44

Kudos [?]: 1051 [1] , given: 6

CAT Tests
Re: Which of the following numbers have a product that is [#permalink] New post 16 Jan 2017, 13:59
1
This post received
KUDOS
Expert's post
Carcass wrote:


Which of the following numbers have a product that is between -1 and 0 ?

Indicate both of the numbers

□ -20

□ -10

□ \(2^-^4\)

□ \(3^-^2\)



First recognize that 2^(-4) and 3^(-2) are both POSITIVE, whereas -20 and -10 are both NEGATIVE.
So, if we want a product that's between -1 and 0 (i.e., NEGATIVE), we need one positive value and one negative value.

Let's try some pairs:

-20 and 2^(-4)
-20 x 2^(-4) = -20 x 1/16
= -20/16
= -5/4
= -1.25
NO GOOD!

-20 and 3^(-2)
-20 x 3^(-2) = -20 x 1/9
= -20/9
= -2 2/9
NO GOOD!

-10 and 2^(-4)
-10 x 2^(-4) = -10 x 1/16
= -10/16
= -5/8
= -0.375
PERFECT!

The answer is -10 and 2^(-4)

ASIDE: Also, the product of -10, 2^(-4) and 3^(-2) works as well.
-10 x 2^(-4) x 3^(-2) = -10 x 1/16 x 1/9
= -10/144
This product is also between -1 and 0

Cheers,
Brent
_________________

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

Re: Which of the following numbers have a product that is   [#permalink] 16 Jan 2017, 13:59
Display posts from previous: Sort by

Which of the following numbers have a product that is

  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®.