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

 It is currently 20 Jan 2019, 03:06

### 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 January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### FREE Quant Workshop by e-GMAT!

January 20, 2019

January 20, 2019

07:00 AM PST

07:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.
• ### GMAT Club Tests are Free & Open for Martin Luther King Jr.'s Birthday!

January 21, 2019

January 21, 2019

10:00 PM PST

11:00 PM PST

Mark your calendars - All GMAT Club Tests are free and open January 21st for celebrate Martin Luther King Jr.'s Birthday.

# If x and y are integers, is x less than y ?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52295
If x and y are integers, is x less than y ?  [#permalink]

### Show Tags

06 Feb 2018, 05:24
00:00

Difficulty:

(N/A)

Question Stats:

70% (01:06) correct 30% (01:07) wrong based on 28 sessions

### HideShow timer Statistics

If x and y are integers, is x less than y ?

(1) The cube of x is less than the cube of y.

(2) The square of x is less than the square y.

_________________
Manager
Joined: 20 Feb 2017
Posts: 164
Location: India
Concentration: Operations, Strategy
WE: Engineering (Other)
Re: If x and y are integers, is x less than y ?  [#permalink]

### Show Tags

06 Feb 2018, 06:11
IMO the answer should be A
from statement 1 :
x^3 < y^3
basically it says x<y (sign doesn't have the effect) hence sufficient
From statement 2
x^2 < y^2
consider 4<9
hence 2<3 ( yes)
but -2>-3(no)... insufficient
_________________

If you feel the post helped you then do send me the kudos (damn theya re more valuable than \$)

Senior Manager
Joined: 31 May 2017
Posts: 320
Re: If x and y are integers, is x less than y ?  [#permalink]

### Show Tags

06 Feb 2018, 06:21
If x and y are integers, is x less than y ?

(a) The cube of x is less than the cube of y.
- This option works well with both positive and negative values. If X^3 < Y^3 , then X < Y. - Sufficient.

(b) The square of x is less than the square y.
If the x and y are negative values, then square of X is not always less than square of Y. - Not Sufficient.

Ans - Option A
_________________

Please give kudos if it helps

Resources
| | | | |

BSchool Forum Moderator
Joined: 28 Mar 2017
Posts: 1219
Location: India
GMAT 1: 730 Q49 V41
GPA: 4
Re: If x and y are integers, is x less than y ?  [#permalink]

### Show Tags

06 Feb 2018, 06:33
Bunuel wrote:
If x and y are integers, is x less than y ?

(1) The cube of x is less than the cube of y.

(2) The square of x is less than the square y.

IMO A

Stmt 1: $$x^3$$<$$y^3$$
=> $$x^3$$-$$y^3$$<0
=> (x-y)($$x^2$$+y^2+xy)<0; Now, ($$x^2$$+$$y^2$$+xy) will be >0
Thus, x-y<0 => x<y; Sufficient

Stmt 2: $$x^2$$<$$y^2$$
=> (x+y)(x-y)<0; Now either could be <0; Insufficient
_________________
Senior DS Moderator
Joined: 27 Oct 2017
Posts: 1195
Location: India
GPA: 3.64
WE: Business Development (Energy and Utilities)
If x and y are integers, is x less than y ?  [#permalink]

### Show Tags

06 Feb 2018, 06:59
See the attachment
Attachments

2018-02-06 at 21-02-15.jpg [ 33.16 KiB | Viewed 374 times ]

_________________
If x and y are integers, is x less than y ? &nbs [#permalink] 06 Feb 2018, 06:59
Display posts from previous: Sort by