GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 28 May 2020, 23:55

### 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) y = x^(-3) (2) x < 0

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 64220
Is x < y ? (1) y = x^(-3) (2) x < 0  [#permalink]

### Show Tags

13 Aug 2018, 02:48
1
3
00:00

Difficulty:

55% (hard)

Question Stats:

56% (01:30) correct 44% (01:19) wrong based on 72 sessions

### HideShow timer Statistics

Is x < y ?

(1) y = x^(-3)

(2) x < 0

_________________
NUS School Moderator
Joined: 18 Jul 2018
Posts: 1120
Location: India
Concentration: Operations, General Management
GMAT 1: 590 Q46 V25
GMAT 2: 690 Q49 V34
WE: Engineering (Energy and Utilities)
Re: Is x < y ? (1) y = x^(-3) (2) x < 0  [#permalink]

### Show Tags

13 Aug 2018, 02:57
1
From statement 1 : Y = $$\frac{1}{x^3}$$. If x is an integer then y<x or else y>x. Hence Insufficient
From statement 2: x<0. Nothing can be concluded. Since we don't the value of Y. Hence Insufficient
Combining 1 & 2 : since x<0. Y will always be greater than x. Hence Sufficient.
Senior Manager
Joined: 31 May 2018
Posts: 432
Location: United States
Concentration: Finance, Marketing
Re: Is x < y ? (1) y = x^(-3) (2) x < 0  [#permalink]

### Show Tags

13 Aug 2018, 03:22
Bunuel wrote:
Is x < y ?

(1) y = x^(-3)

(2) x < 0

(1) y = x^(-3) if x=2 then y=1/8 no
if x=-2 then y=-1/8 yes. no definite answer so insufficient.
(2) x < 0 we don't know anything about y here so insufficient

both (1)&(2) combined
if x=-2 then y=-1/8 yes.
if x=-1/2 then y=-8 no. no definite answer so insufficient.

Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 950
WE: Supply Chain Management (Energy and Utilities)
Re: Is x < y ? (1) y = x^(-3) (2) x < 0  [#permalink]

### Show Tags

13 Aug 2018, 04:42
Bunuel wrote:
Is x < y ?

(1) y = x^(-3)

(2) x < 0

Question stem:- Is x<y ?

St1:- $$y = x^(-3)$$

Situations at which st1 is valid:-
a)x=y=1
b)x=y=-1
c)x=2, y=0.5
d)x=0.5,y=2
e)x=-2,y=-0.5
f)x=-0.5, y=-2

Question stem is inconsistent at above circumstances. Insufficient.

St2:- x < 0
Clearly insufficient.

Combined, situation (b), (e), and (f) hold true.
b)x=y=-1
e)x=-2,y=-0.5
f)x=-0.5, y=-2

Again, the question is inconsistent.

Ans. (E)
_________________
Regards,

PKN

Rise above the storm, you will find the sunshine
Director
Joined: 14 Dec 2017
Posts: 502
Location: India
Re: Is x < y ? (1) y = x^(-3) (2) x < 0  [#permalink]

### Show Tags

13 Aug 2018, 12:14
Bunuel wrote:
Is x < y ?

(1) y = x^(-3)

(2) x < 0

Statement 1:$$y = \frac{1}{x^3}$$

For x = -1, y = -1.... x = y hence NO

For x = 1/2, y = 8.....x < y hence YES

Statement 1 alone is Not Sufficient

Statement 2: x < 0

Clearly Not Sufficient

Combining both statements

For x = -1, y = -1.....x = y hence NO

For x = -2 , y = -1/8......x < y hence YES

Combining is Not Sufficient.

Thanks,
GyM
_________________
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 6277
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: Is x < y ? (1) y = x^(-3) (2) x < 0  [#permalink]

### Show Tags

30 Oct 2019, 23:25
Bunuel wrote:
Is x < y ?

(1) y = x^(-3)

(2) x < 0

#1
x^3*y=1
either of x or y = 2 or 1/2 insufficient
#2
x<0
y info not given insufficient
from 1 &2
both x & y must be -ve but not enough info to say that x<y as either of x or y = -2 or - 1/2
IMO E
Re: Is x < y ? (1) y = x^(-3) (2) x < 0   [#permalink] 30 Oct 2019, 23:25