It is currently 19 Nov 2017, 23:36

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If a= -0.3, which of the following is true?

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

Hide Tags

1 KUDOS received
Manager
Manager
avatar
Joined: 10 Nov 2010
Posts: 246

Kudos [?]: 412 [1], given: 22

Location: India
Concentration: Strategy, Operations
GMAT 1: 520 Q42 V19
GMAT 2: 540 Q44 V21
WE: Information Technology (Computer Software)
If a= -0.3, which of the following is true? [#permalink]

Show Tags

New post 13 Feb 2011, 10:53
1
This post received
KUDOS
4
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

52% (00:40) correct 48% (00:27) wrong based on 374 sessions

HideShow timer Statistics

If a= -0.3, which of the following is true?

A. a < a^2 < a^3
B. a < a^3 < a^2
C. a^2 < a < a^3
D. a^2 < a^3 < a
E. a^3 < a < a^2
[Reveal] Spoiler: OA

_________________

The proof of understanding is the ability to explain it.


Last edited by Bunuel on 11 Aug 2015, 02:24, edited 1 time in total.
Renamed the topic and edited the question.

Kudos [?]: 412 [1], given: 22

Director
Director
User avatar
Status: -=Given to Fly=-
Joined: 04 Jan 2011
Posts: 830

Kudos [?]: 248 [0], given: 78

Location: India
Concentration: Leadership, Strategy
Schools: Haas '18, Kelley '18
GMAT 1: 650 Q44 V37
GMAT 2: 710 Q48 V40
GMAT 3: 750 Q51 V40
GPA: 3.5
WE: Education (Education)
Re: If a= -0.3, which of the following is true? [#permalink]

Show Tags

New post 13 Feb 2011, 11:01
a = -0.3 a^2 = 0.09 a^3 = -0.027

So a<a^3<a^2
_________________

"Wherever you go, go with all your heart" - Confucius

Useful Threads

1. How to Review and Analyze your Mistakes (Post by BB at GMAT Club)

2. 4 Steps to Get the Most out out of your CATs (Manhattan GMAT Blog)

My Experience With GMAT

1. From 650 to 710 to 750 - My Tryst With GMAT

2. Quest to do my Best - My GMAT Journey Log

Kudos [?]: 248 [0], given: 78

Manager
Manager
avatar
Joined: 05 Jul 2010
Posts: 185

Kudos [?]: 22 [0], given: 18

Re: If a= -0.3, which of the following is true? [#permalink]

Show Tags

New post 13 Feb 2011, 15:28
a^2 will be highest, so it should be between b and e. and since -1<a<0 the cube will be more close to 0 than a, this gives b.

Kudos [?]: 22 [0], given: 18

Senior Manager
Senior Manager
User avatar
Joined: 17 Jun 2015
Posts: 261

Kudos [?]: 40 [0], given: 165

GMAT 1: 540 Q39 V26
GMAT 2: 680 Q46 V37
GMAT ToolKit User
Re: If a= -0.3, which of the following is true? [#permalink]

Show Tags

New post 10 Aug 2015, 23:30
Safe approach:

all options have a,a^2 and a^3

a^2 is positive. hence >a. Square of any number is greater than 0 (in GMAT)
so a< a^2

just compare a and a^3 now.
a^3 is negative as a is negative. And, on the negative side (left of zero) of the number line, the smaller is the magnitude of the negative numbers, the closer it is to zero and the greater it is. For example -0.00001 is greater than -0.1.

Hence B
_________________

Fais de ta vie un rêve et d'un rêve une réalité

Kudos [?]: 40 [0], given: 165

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 15643

Kudos [?]: 283 [0], given: 0

Premium Member
Re: If a= -0.3, which of the following is true? [#permalink]

Show Tags

New post 22 Aug 2017, 06:17
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 283 [0], given: 0

Director
Director
avatar
P
Joined: 22 May 2016
Posts: 983

Kudos [?]: 341 [0], given: 592

If a= -0.3, which of the following is true? [#permalink]

Show Tags

New post 22 Aug 2017, 12:22
GMATD11 wrote:
If a= -0.3, which of the following is true?

A. a < a^2 < a^3
B. a < a^3 < a^2
C. a^2 < a < a^3
D. a^2 < a^3 < a
E. a^3 < a < a^2

As I just got reminded the hard way, I am most accurate with these problems when I use fractions and a number line.

a= -\(\frac{3}{10}\)

a\(^2\) = (-\(\frac{3}{10})^2\) = \(\frac{9}{100}\), or, when the numbers are unwieldy, "some +"

a\(^3\) = (-\(\frac{3}{10}\))\(^3\) = -\(\frac{27}{1000}\)

___-\(\frac{3}{10}\) ___-\(\frac{27}{1000}\)__0___\(\frac{9}{100}\)___1_____

____\(a\)______\(a^3\)____|____\(a^2\)____|_____

\(a < a^3 < a^2\)

Answer B

Kudos [?]: 341 [0], given: 592

Expert Post
Target Test Prep Representative
User avatar
S
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 1806

Kudos [?]: 927 [0], given: 3

Location: United States (CA)
Re: If a= -0.3, which of the following is true? [#permalink]

Show Tags

New post 24 Aug 2017, 16:10
GMATD11 wrote:
If a= -0.3, which of the following is true?

A. a < a^2 < a^3
B. a < a^3 < a^2
C. a^2 < a < a^3
D. a^2 < a^3 < a
E. a^3 < a < a^2


We should keep in mind that when a negative number is raised to an even power, the result is positive, and when a negative number is raised to an odd power, the result is negative. Thus, a^2 is the largest among a, a^2, and a^3. Furthermore, we should keep in mind that when we raise a negative proper fraction to the third power, the result is a larger negative number. Thus, since a = -0.3:

a < a^3 < a^2, or -0.3 < -0.027 < 0.09

Answer: B
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 927 [0], given: 3

Re: If a= -0.3, which of the following is true?   [#permalink] 24 Aug 2017, 16:10
Display posts from previous: Sort by

If a= -0.3, which of the following is true?

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


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.