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

 It is currently 19 Sep 2018, 09:56

# LIVE NOW:

Missing Clues in Data Sufficiency - Chat With Veritas  |  Kellogg & INSEAD R1 Apps Due TODAY - Join MBA Chat Room to Get Last-Minute Doubts Cleard

### 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

# Is x^y>1? (1) x>1 (2) y<1

Author Message
Senior SC Moderator
Joined: 14 Nov 2016
Posts: 1322
Location: Malaysia
Is x^y>1? (1) x>1 (2) y<1  [#permalink]

### Show Tags

19 Feb 2017, 07:43
3
00:00

Difficulty:

95% (hard)

Question Stats:

41% (01:37) correct 59% (00:47) wrong based on 101 sessions

### HideShow timer Statistics

Is $$x^y > 1$$?

(1) $$x>1$$
(2) $$y<1$$

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________

"Be challenged at EVERY MOMENT."

“Strength doesn’t come from what you can do. It comes from overcoming the things you once thought you couldn’t.”

"Each stage of the journey is crucial to attaining new heights of knowledge."

Math Expert
Joined: 02 Sep 2009
Posts: 49251
Re: Is x^y>1? (1) x>1 (2) y<1  [#permalink]

### Show Tags

19 Feb 2017, 09:49
ziyuenlau wrote:
Is $$x^y > 1$$?

(1) $$x>1$$
(2) $$y<1$$

Easy to get both YES and NO answers to the questions by testing values.

If x = 4 and y = -1, then x^y = 1/4 < 1.
If x = 4 and y = 1/2, then x^y = 2 > 1.

_________________
CEO
Joined: 12 Sep 2015
Posts: 2852
Re: Is x^y>1? (1) x>1 (2) y<1  [#permalink]

### Show Tags

19 Feb 2017, 09:52
Top Contributor
1
ziyuenlau wrote:
Is $$x^y > 1$$?

(1) $$x>1$$
(2) $$y<1$$

Target question: Is x^y > 1?

Each statement alone is NOT SUFFICIENT, so let's jump straight to . . .

Statements 1 and 2 combined
There are several values of x and y that satisfy BOTH statements. Here are two:
Case a: x = 9 and y = 1/2, in which case x^y = 9^(1/2) = 3. In this case, x^y > 1
Case b: x = 2 and y = -1, in which case x^y = 2^(-1) = 1/2. In this case, x^y < 1
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Cheers,
Brent
_________________

Brent Hanneson – GMATPrepNow.com

Intern
Joined: 15 Jan 2014
Posts: 22
Location: India
Concentration: Technology, Strategy
Schools: Haas '19
GMAT 1: 650 Q49 V30
GPA: 2.5
WE: Information Technology (Consulting)
Is x^y>1? (1) x>1 (2) y<1  [#permalink]

### Show Tags

19 Feb 2017, 10:37
3
How to approach these types of problem :

Question Stem : Is $$x^y>1$$?

Observations : X and Y could be anything.So we will check following values for X and Y .
X = $$-2,-1,\frac{-1}{2},0,\frac{1}{2},1,2$$
Y = $$-2,-1,\frac{-1}{2},0,\frac{1}{2},1,2$$

These are very basic values which we should keep in mind when no restrictions about variables are given as is the case in this case. Say in some other question If this was given that X is an integer so we will use.
X = $$-1,0,1$$

Ok so back to question.

Statement 1 : $$X > 1$$

Observations :
Y could be anything: Y = $$-1,\frac{-1}{2},0,\frac{1}{2},1$$
X will have following values : $$2,3,4$$

let's test these values:
X=2 and Y = 0 ==> $$2^0$$ = 1 so 1 > 1 ==> NO
X = 2 and Y = 1 ==> $$2^1$$ = 2 So2 > 1 ==> YES

Not Sufficient.

Statement 2 : $$Y < 1$$

Observations :
X xould be anything :X = $$-2,-1,\frac{-1}{2},0,\frac{1}{2},1,2$$
Y will have follwoing values : Y = $$-1,\frac{-1}{2},0,\frac{1}{2}$$
let's test these values:

X=2 and Y = 0 ==> $$2^0$$ = 1 so 1 > 1 ==> NO
X=3 and Y=$$\frac{1}{2}$$ ==> $$2^{1/2}$$ = $$\sqrt{2}$$ > 1 ==> YES

Not Sufficient.

St1 + St2
X=2 and Y = 0 ==> NO
X=3 and Y=$$\frac{1}{2}$$ ==> YES

Not sufficient .Ans E

So always check for these values $$-2,-1,\frac{-1}{2},0,\frac{1}{2},1,2$$ .In most of the cases exceptions fall in this range .

Please +1 kudos if this post helps
Intern
Joined: 15 Oct 2014
Posts: 17
Re: Is x^y>1? (1) x>1 (2) y<1  [#permalink]

### Show Tags

19 Feb 2017, 11:13
Ans is E
As Statement 1 don't say anything about y and statement 2 about x and combined not much information about Y like if y is negative then x^y<1.

Sent from my iPhone using GMAT Club Forum

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Non-Human User
Joined: 09 Sep 2013
Posts: 8084
Re: Is x^y>1? (1) x>1 (2) y<1  [#permalink]

### Show Tags

14 Apr 2018, 07:12
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.
_________________
Re: Is x^y>1? (1) x>1 (2) y<1 &nbs [#permalink] 14 Apr 2018, 07:12
Display posts from previous: Sort by

# Events & Promotions

 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®.