Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 30 Aug 2016, 08:13

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# M06-04

Author Message
Manager
Joined: 01 May 2012
Posts: 57
GPA: 1
Followers: 2

Kudos [?]: 7 [0], given: 0

### Show Tags

09 Jun 2012, 03:25
Quantitative :: Data sufficiency :: M06-04
Flag for Review
If g is an integer what is the value of (−1)^(g^4−1)?

(1) g^2<1

(2) g^2+2g−3<0

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH stamenents TOGETHER are sufficient, but NEITHER stamenent ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
Mark as a guess Hide Answer

(1) g^2<1 → since g is an integer then g=0. Sufficient to calculate the value of (−1)g4−1.

(2) g^2+2g=0 → g(g+2)=0 → g=0 or g=−2. Since both possible values of g are even then (−1)even4−1=(−1)even−1=(−1)odd=−1. Sufficient.

------------------------------------------------------

I answered A. This question has a problem. (2) g^2+2g−3<0 ---->> g= -1 or g=3, how come the solution changes the equation totally??
Math Expert
Joined: 02 Sep 2009
Posts: 34509
Followers: 6297

Kudos [?]: 79941 [0], given: 10022

### Show Tags

09 Jun 2012, 03:29
heintzst wrote:
Quantitative :: Data sufficiency :: M06-04
Flag for Review
If g is an integer what is the value of (−1)^(g^4−1)?

(1) g^2<1

(2) g^2+2g−3<0

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH stamenents TOGETHER are sufficient, but NEITHER stamenent ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
Mark as a guess Hide Answer

(1) g^2<1 → since g is an integer then g=0. Sufficient to calculate the value of (−1)g4−1.

(2) g^2+2g=0 → g(g+2)=0 → g=0 or g=−2. Since both possible values of g are even then (−1)even4−1=(−1)even−1=(−1)odd=−1. Sufficient.

------------------------------------------------------

I answered A. This question has a problem. (2) g^2+2g−3<0 ---->> g= -1 or g=3, how come the solution changes the equation totally??

There is typo. Will be edited ASAP. Thank you for pointing out.
_________________
Manager
Joined: 06 Oct 2009
Posts: 99
Location: Mexico
Concentration: Entrepreneurship, Finance
GMAT 1: 610 Q42 V34
GPA: 3.85
WE: Sales (Commercial Banking)
Followers: 1

Kudos [?]: 111 [0], given: 4

### Show Tags

07 Jul 2012, 08:37
Guys please correct me if I am wrong

g^4-1 = g^4/g = g^3 therefore we are concerned about the value of g^3, as if it yields an even number the answer will become 1

1.- g^2 < 1 There is no other number rised to the power of two that yields a negative result, so g = 0, sufficient

2.- x= -1 or x = 3, as each of the results is odd, it is sufficient to realize that the value of g is -1.

Verbal Forum Moderator
Joined: 02 Aug 2009
Posts: 3975
Followers: 249

Kudos [?]: 2652 [0], given: 97

### Show Tags

07 Jul 2012, 09:29
hi
statement 1 is sufficient as mentioned in earlier replies.
as for stat 2.. g^2+2g−3<0
(g+3)(g-1)<0 so g can be -2,-1,0, or 1.....
when we substitute -2 or 0 ans is -1..... however -1 and 1 will give us 1 as anything raised to power 0 is 1... A shud be the ans
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Verbal Forum Moderator
Joined: 02 Aug 2009
Posts: 3975
Followers: 249

Kudos [?]: 2652 [0], given: 97

### Show Tags

07 Jul 2012, 09:32
Bull78 wrote:
Guys please correct me if I am wrong

g^4-1 = g^4/g = g^3 therefore we are concerned about the value of g^3, as if it yields an even number the answer will become 1

1.- g^2 < 1 There is no other number rised to the power of two that yields a negative result, so g = 0, sufficient

2.- x= -1 or x = 3, as each of the results is odd, it is sufficient to realize that the value of g is -1.

it is (g^4)-1 and not g^(4-1)
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Math Expert
Joined: 02 Sep 2009
Posts: 34509
Followers: 6297

Kudos [?]: 79941 [0], given: 10022

### Show Tags

07 Jul 2012, 10:30
Correct question with a solution is below:

If $$g$$ is an integer what is the value of $$(-1)^{g^4 - 1}$$ ?

(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.

_________________
Re: M06-04   [#permalink] 07 Jul 2012, 10:30
Display posts from previous: Sort by

# M06-04

Moderator: Bunuel

 Powered by phpBB © phpBB Group and phpBB SEO 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®.