GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 18 Jun 2019, 20:56

### 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

# If n is an integer, xy ≠ 0, and x^n

Author Message
TAGS:

### Hide Tags

CEO
Joined: 12 Sep 2015
Posts: 3783
If n is an integer, xy ≠ 0, and x^n  [#permalink]

### Show Tags

20 Oct 2016, 09:20
Top Contributor
6
00:00

Difficulty:

65% (hard)

Question Stats:

54% (02:04) correct 46% (02:08) wrong based on 128 sessions

### HideShow timer Statistics

If n is an integer, xy ≠ 0, and x^n = y^n, then what is the value of n?

(1) x/y = 2

(2) n < y < x

Our video solution can be found here: https://www.gmatprepnow.com/module/gmat ... video/1053

NOTE: Kudos for all correct solutions

_________________
Test confidently with gmatprepnow.com
Retired Moderator
Joined: 13 Apr 2015
Posts: 1679
Location: India
Concentration: Strategy, General Management
GMAT 1: 200 Q1 V1
GPA: 4
WE: Analyst (Retail)
Re: If n is an integer, xy ≠ 0, and x^n  [#permalink]

### Show Tags

20 Oct 2016, 10:06
5
1
x^n = y^n --> We can have 3 different cases:
Case 1) $$x = y$$ and n is any value
Case 2) $$|x| \neq {|y|}$$ and n = 0
Case 3) $$x = -y$$ and n is even

St1: x/y = 2 --> $$|x| \neq {|y|}$$ --> n = 0
Sufficient

St2: n < y < x --> Can have 2 possibilities
$$x \neq {y}$$ --> n = 0
or
$$y = -x$$ --> n is even and negative
Not Sufficient

##### General Discussion
Manager
Joined: 29 Aug 2008
Posts: 107
Re: If n is an integer, xy ≠ 0, and x^n  [#permalink]

### Show Tags

20 Oct 2016, 23:14
1
From question we know.

xy ≠ 0 - which means none of them can be equal to zero.

and x^n = y^n meaning either n can be zero or even.

1. Statement 1 : x/y = 2, which means (2)^n = 1, this is only possible for one value of n =0. Sufficient

2. Statement 2 : n < y < x, this means that y would be negative (y = -x) and n would be smaller than y, as we are given
that x^n = y^n, so n would be even negative integer and we can have multiple solutions. So not sufficient.

Option A.
Director
Joined: 27 May 2012
Posts: 800
Re: If n is an integer, xy ≠ 0, and x^n  [#permalink]

### Show Tags

13 Jan 2019, 01:47
GMATPrepNow wrote:
If n is an integer, xy ≠ 0, and x^n = y^n, then what is the value of n?

(1) x/y = 2

(2) n < y < x

Our video solution can be found here: https://www.gmatprepnow.com/module/gmat ... video/1053

NOTE: Kudos for all correct solutions

Dear Moderator,
Another DS question in the incorrect section, hope you will do the needful. Thank you.
_________________
- Stne
Math Expert
Joined: 02 Sep 2009
Posts: 55670
Re: If n is an integer, xy ≠ 0, and x^n  [#permalink]

### Show Tags

13 Jan 2019, 03:09
stne wrote:
GMATPrepNow wrote:
If n is an integer, xy ≠ 0, and x^n = y^n, then what is the value of n?

(1) x/y = 2

(2) n < y < x

Our video solution can be found here: https://www.gmatprepnow.com/module/gmat ... video/1053

NOTE: Kudos for all correct solutions

Dear Moderator,
Another DS question in the incorrect section, hope you will do the needful. Thank you.

________________
Done. Thank you.
_________________
CEO
Joined: 18 Aug 2017
Posts: 3889
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: If n is an integer, xy ≠ 0, and x^n  [#permalink]

### Show Tags

13 Jan 2019, 03:49
GMATPrepNow wrote:
If n is an integer, xy ≠ 0, and x^n = y^n, then what is the value of n?

(1) x/y = 2

(2) n < y < x

Our video solution can be found here: https://www.gmatprepnow.com/module/gmat ... video/1053

NOTE: Kudos for all correct solutions

#1:
only way
x^n = y^n
when n=0
sufficeint
#2
n <y<x can be -ve or +ve
we would get both values
in sufficient

IMO A
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
Re: If n is an integer, xy ≠ 0, and x^n   [#permalink] 13 Jan 2019, 03:49
Display posts from previous: Sort by