NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 17:30 It is currently 24 Apr 2024, 17:30
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

What is the value of (-1)^{g^4 + g - 1} ? 1. g is an

User avatar
ugimba
Senior Manager
Senior Manager
Joined: 01 Aug 2008
Posts: 330
Own Kudos [?]: 4614 [3]
Given Kudos: 99
Send PM
What is the value of (-1)^{g^4 + g - 1} ? 1. g is an [#permalink] New post   Updated on: 13 Dec 2013, 07:08
3
Bookmarks
If \(g\) is an integer what is the value of \((-1)^{g^4 - 1}\) ?

(1) \(g^2<{1}\)
(2) \(g^2+2 g=0\)

Source: GMAT Club Tests - hardest GMAT questions

Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!

Originally posted by ugimba on 21 Dec 2008, 09:55.
Last edited by Bunuel on 13 Dec 2013, 07:08, edited 2 times in total.
Updated.
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92900
Own Kudos [?]: 618815 [3]
Given Kudos: 81588
Send PM
CAT Tests Forum Quiz Mode
Re: What is the value of (-1)^{g^4 + g - 1} ? 1. g is an [#permalink] New post   19 Dec 2012, 06:40
3
Kudos
Expert Reply
ugimba wrote:
What is the value of \((-1)^{g^4 + g - 1}\) ?

1. \(g\) is an integer
2. \(g\) is even

Show SpoilerOA
D

Source: GMAT Club Tests - hardest GMAT questions

shouldn't we consider negative values for option 1? ( 'g' is integer)? in this case, then A wont fit right?


BELOW IS REVISED VERSION OF THIS QUESTION:
If \(g\) is an integer what is the value of \((-1)^{g^4 - 1}\) ?

(1) \(g^2<{1}\)
(2) \(g^2+2 g=0\)

SOLUTION:
(1) \(g^2<{1}\) --> since \(g\) is an integer then \(g=0\). Sufficient to calculate the value of \((-1)^{g^4 - 1}\).

(2) \(g^2+2g=0\) --> \(g(g+2)=0\) --> \(g=0\) or \(g=-2\). Since both possible values of \(g\) are even then \((-1)^{even^4 - 1}=(-1)^{even-1}=(-1)^{odd}=-1\). Sufficient.

Answer: D.
User avatar
Archit143
Director
Director
Joined: 21 Sep 2012
Status:Final Lap Up!!!
Affiliations: NYK Line
Posts: 734
Own Kudos [?]: 1857 [0]
Given Kudos: 70
Location: India
Schools: Cox '16 (S) AGSM '16 Tulane '16 (S) McCombs '16 (S) Neeley '16 (S) Jones '16 (S) ISB '15 (D) MIT-LGO '16 (M)
GMAT 1: 410 Q35 V11
GMAT 2: 530 Q44 V20
GMAT 3: 630 Q45 V31
GPA: 3.84
WE:Engineering (Transportation)
Send PM
Re: What is the value of (-1)^{g^4 + g - 1} ? 1. g is an [#permalink] New post   19 Dec 2012, 17:14
good question really tricky, i went on select B in hurry
User avatar
Archit143
Director
Director
Joined: 21 Sep 2012
Status:Final Lap Up!!!
Affiliations: NYK Line
Posts: 734
Own Kudos [?]: 1857 [0]
Given Kudos: 70
Location: India
Schools: Cox '16 (S) AGSM '16 Tulane '16 (S) McCombs '16 (S) Neeley '16 (S) Jones '16 (S) ISB '15 (D) MIT-LGO '16 (M)
GMAT 1: 410 Q35 V11
GMAT 2: 530 Q44 V20
GMAT 3: 630 Q45 V31
GPA: 3.84
WE:Engineering (Transportation)
Send PM
Re: What is the value of (-1)^{g^4 + g - 1} ? 1. g is an [#permalink] New post   19 Dec 2012, 17:19
Bunuel wrote:
ugimba wrote:
What is the value of \((-1)^{g^4 + g - 1}\) ?

1. \(g\) is an integer
2. \(g\) is even

Show SpoilerOA
D

Source: GMAT Club Tests - hardest GMAT questions

shouldn't we consider negative values for option 1? ( 'g' is integer)? in this case, then A wont fit right?


BELOW IS REVISED VERSION OF THIS QUESTION:
If \(g\) is an integer what is the value of \((-1)^{g^4 - 1}\) ?

(1) \(g^2<{1}\)
(2) \(g^2+2 g=0\)

SOLUTION:
(1) \(g^2<{1}\) --> since \(g\) is an integer then \(g=0\). Sufficient to calculate the value of \((-1)^{g^4 - 1}\).

(2) \(g^2+2g=0\) --> \(g(g+2)=0\) --> \(g=0\) or \(g=-2\). Since both possible values of \(g\) are even then \((-1)^{even^4 - 1}=(-1)^{even-1}=(-1)^{odd}=-1\). Sufficient.

Answer: D.



Superb question, since g^2<1 g cannot have any value except zero had it been g<1 than the answer would have been B

Archived Topic
Hi there,
Archived GMAT Club Tests question - no more replies possible.
Where to now? Try our up-to-date Free Adaptive GMAT Club Tests for the latest questions.
Still interested? Check out the "Best Topics" block above for better discussion and related questions.
Thank you for understanding, and happy exploring!
GMAT Club Bot
gmatclubot
Re: What is the value of (-1)^{g^4 + g - 1} ? 1. g is an [#permalink]
19 Dec 2012, 17:19
Moderator:
Bunuel
Math Expert
92900 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions