It is currently 19 Oct 2017, 22:32

### 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

# M03 #24 DS Question

Author Message
Manager
Joined: 07 Jan 2008
Posts: 87

Kudos [?]: 248 [3], given: 1

### Show Tags

09 Dec 2008, 16:09
3
KUDOS
6
This post was
BOOKMARKED
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Is $$N^x$$ even?

1. $$N$$ is even
2. $$x^2-3x+2 = 0$$

[Reveal] Spoiler: OA
C

Source: GMAT Club Tests - hardest GMAT questions

REVISED VERSION OF THIS QUESTION IS HERE: m03-24-ds-question-73770.html#p1249364

Kudos [?]: 248 [3], given: 1

Manager
Joined: 07 Jan 2008
Posts: 87

Kudos [?]: 248 [0], given: 1

### Show Tags

09 Dec 2008, 16:13
I think the answer is A.

But the OA is C.

An even number raised to any power is always even.

(2) provides the power as 1 or 2. But doesn't give anything about the base.

Kudos [?]: 248 [0], given: 1

Intern
Joined: 05 Oct 2008
Posts: 14

Kudos [?]: 16 [2], given: 0

### Show Tags

09 Dec 2008, 17:15
2
KUDOS
Quote:
An even number raised to any power is always even.

The power needs to be a positive integer for this statement to be true.

You need the second equation to find that x is a positive integer.

Kudos [?]: 16 [2], given: 0

SVP
Joined: 29 Aug 2007
Posts: 2472

Kudos [?]: 843 [5], given: 19

### Show Tags

09 Dec 2008, 23:04
5
KUDOS
topmbaseeker wrote:
Is $$N^x$$ even?

1. $$N$$ is even
2. $$x^2-3x+2 = 0$$

(C) 2008 GMAT Club - m03#24

* 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 statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
* EACH statement ALONE is sufficient
* Statements (1) and (2) TOGETHER are NOT sufficient

has to be C.

1: n = lets say 2 but x could be -1, 0, 0.5, 2. Then in all cases, n^x is not an even. so nsff..
2: x = 1 or 2 but what is n? nsf.

therefore, C.
_________________

Gmat: http://gmatclub.com/forum/everything-you-need-to-prepare-for-the-gmat-revised-77983.html

GT

Kudos [?]: 843 [5], given: 19

Intern
Joined: 10 Jun 2010
Posts: 44

Kudos [?]: 50 [0], given: 2

Re: M03 #24 DS Question [#permalink]

### Show Tags

15 Jul 2010, 05:24
Good question. Even i picked A on the first go. However, after seeing the answer, C made sense

Kudos [?]: 50 [0], given: 2

Intern
Joined: 27 May 2010
Posts: 6

Kudos [?]: 23 [1], given: 0

Re: M03 #24 DS Question [#permalink]

### Show Tags

15 Jul 2010, 10:34
1
KUDOS
Hi,
C is the correct option because even if N is even N^x can be odd.
Consider for example N = 4
N^0 = 4^0 =1 which is odd
If we consider the second statement then we come to know that x can be either 1 or 2.
So from 1 and 2 both we can answer the question properly hence the solution for this is C.

Kudos [?]: 23 [1], given: 0

Intern
Joined: 10 Jul 2010
Posts: 4

Kudos [?]: 1 [0], given: 0

Re: M03 #24 DS Question [#permalink]

### Show Tags

15 Jul 2010, 12:33
i made the same mistake...i chose A....well that was tricky one...

Kudos [?]: 1 [0], given: 0

Intern
Joined: 29 Mar 2010
Posts: 16

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

Schools: UCLA, USC
WE 1: 3 Yr at leading SAAS company
Re: M03 #24 DS Question [#permalink]

### Show Tags

15 Jul 2010, 15:35
Easy one..!!

C.
Both Stmt together solve the purpose.

Since to be even depends upon both N & x .we need to have both to conclude.

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

Intern
Joined: 07 Jul 2010
Posts: 12

Kudos [?]: 8 [0], given: 3

Re: M03 #24 DS Question [#permalink]

### Show Tags

15 Jul 2010, 18:59
How did you get x=1 or X=2 from x2 -3X+2 = 0.
Just from trying figures starting from 0 or can the equation be written in a way that makes it solution obvious ?

Kudos [?]: 8 [0], given: 3

Intern
Joined: 29 Mar 2010
Posts: 16

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

Schools: UCLA, USC
WE 1: 3 Yr at leading SAAS company
Re: M03 #24 DS Question [#permalink]

### Show Tags

15 Jul 2010, 19:13
x2-3x+2=0

x2-x-2x+2=0

x(x-1) -2(x-1)=0
(x-2)(x-1)=0

=>x=1 or x=2

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

Intern
Joined: 27 May 2010
Posts: 6

Kudos [?]: 23 [0], given: 0

Re: M03 #24 DS Question [#permalink]

### Show Tags

16 Jul 2010, 06:48
Francois wrote:
How did you get x=1 or X=2 from x2 -3X+2 = 0.
Just from trying figures starting from 0 or can the equation be written in a way that makes it solution obvious ?

Hi,
You need to know the basics of quadratic equation to solve.
Try searching for Crammers Rule.

Kudos [?]: 23 [0], given: 0

Intern
Joined: 17 May 2011
Posts: 15

Kudos [?]: 1 [0], given: 6

Re: M03 #24 DS Question [#permalink]

### Show Tags

19 Jul 2011, 05:46
I chose (A) at first as well. We don't know whether X is an integer or not, that made sense for me. So the correct answer is (C) as far as we learn that N is a positive integer.

Kudos [?]: 1 [0], given: 6

Manager
Joined: 14 Jun 2012
Posts: 64

Kudos [?]: 15 [0], given: 1

Re: M03 #24 DS Question [#permalink]

### Show Tags

23 Jul 2012, 14:15
Nice trick question . Easy but missed it. Accounted for the negative numbers as well but missed the fact that for a simple (2^-1) it fails.

Good one.
_________________

My attempt to capture my B-School Journey in a Blog : tranquilnomadgmat.blogspot.com

There are no shortcuts to any place worth going.

Kudos [?]: 15 [0], given: 1

Intern
Joined: 17 Nov 2010
Posts: 9

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

Re: M03 #24 DS Question [#permalink]

### Show Tags

23 Jul 2013, 05:58
The answer is the first option. An even number raised to any number is always even.
However, for the quadratic equation, x=1,2. And it cannot be certainly be told if N^x is even without knowing the value of N.

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

Manager
Joined: 18 Oct 2011
Posts: 90

Kudos [?]: 91 [0], given: 0

Location: United States
Concentration: Entrepreneurship, Marketing
GMAT Date: 01-30-2013
GPA: 3.3
Re: M03 #24 DS Question [#permalink]

### Show Tags

23 Jul 2013, 06:26
Statement 1: Insufficient. x could be 1 or x could be 0.
Statement 2: Insufficient. After factoring x = 2 or x = 1. We also do not know anything about N.

Combined 1 + 2. We know that N is even. An even number raised to either 1 or 2 would still be EVEN.
Sufficient. C.

Kudos [?]: 91 [0], given: 0

Math Expert
Joined: 02 Sep 2009
Posts: 41884

Kudos [?]: 128929 [1], given: 12183

Re: M03 #24 DS Question [#permalink]

### Show Tags

23 Jul 2013, 06:51
1
KUDOS
Expert's post
topmbaseeker wrote:
Is $$N^x$$ even?

1. $$N$$ is even
2. $$x^2-3x+2 = 0$$

[Reveal] Spoiler: OA
C

Source: GMAT Club Tests - hardest GMAT questions

BELOW IS REVISED VERSION OF THIS QUESTION:

If $$n$$ is a positive integer, is $$n^x$$ an even number?

(1) $$n$$ is an even number
(2) $$x^2-3x+2 = 0$$

(1) $$n$$ is an even number --> if $$x=0$$ then $$n^x=1=odd$$ but if $$x=1$$ then $$n^x=n=even$$. Not sufficient.

(2) $$x^2-3x+2 = 0$$ --> $$x=1$$ or $$x=2$$. Not sufficient, since no info about $$n$$.

(1)+(2) Since given that $$n=even$$ then both $$n^1$$ and$$n^2$$ will be even. Sufficient.

_________________

Kudos [?]: 128929 [1], given: 12183

Senior Manager
Joined: 14 Jul 2013
Posts: 290

Kudos [?]: 193 [2], given: 130

Location: India
Concentration: Marketing, Strategy
GMAT 1: 690 Q49 V34
GMAT 2: 670 Q49 V33
GPA: 3.6
WE: Brand Management (Retail)
Re: M03 #24 DS Question [#permalink]

### Show Tags

08 Jul 2014, 05:29
2
KUDOS
This question reminds us the importance of fraction, negatives and zero. I lost out on my previous GMAT cuz of this, so now before freezing on the answer for variables in question always remember frazen(fractions, zero and negatives)

Posted from my mobile device
_________________

Cheers
Farhan

My Blog - Student for Life ( Oxford MBA)

Kudos [?]: 193 [2], given: 130

Intern
Joined: 13 Jun 2014
Posts: 1

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

Re: M03 #24 DS Question [#permalink]

### Show Tags

08 Jul 2014, 07:48

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

Intern
Joined: 02 Jul 2014
Posts: 12

Kudos [?]: 11 [0], given: 34

Concentration: Marketing, Strategy

### Show Tags

08 Jul 2014, 08:17
Bunuel wrote:
BELOW IS REVISED VERSION OF THIS QUESTION:

If $$n$$ is a positive integer, is $$n^x$$ an even number?

(1) $$n$$ is an even number
(2) $$x^2-3x+2 = 0$$

If n is not a positive integer.
I think the answer is E.
Cuz n could be 0, and 0^p always equals to 1.

Kudos [?]: 11 [0], given: 34

Intern
Joined: 26 May 2013
Posts: 2

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

Concentration: Organizational Behavior, Strategy
GMAT Date: 12-10-2013
Re: M03 #24 DS Question [#permalink]

### Show Tags

08 Jul 2014, 10:28
N^x will must be even if a) N is even & b) x is non negative & non zero

i) Says N is even but doesn't say abt x
ii) Gives x as 1 or , but doesn't say abt N
combining both we get N even & x 1 or 2
so N^x must be even..
Hence 'C'

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

Re: M03 #24 DS Question   [#permalink] 08 Jul 2014, 10:28

Go to page    1   2    Next  [ 22 posts ]

Display posts from previous: Sort by

# M03 #24 DS Question

Moderator: Bunuel

 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®.