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

 It is currently 21 Oct 2018, 09:49

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

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50009
If x and y are integers, is x less than y ?  [#permalink]

### Show Tags

06 Feb 2018, 06:24
00:00

Difficulty:

35% (medium)

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: 166
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, 07:11
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: 322
Re: If x and y are integers, is x less than y ?  [#permalink]

### Show Tags

06 Feb 2018, 07:21
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: 1163
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, 07:33
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
_________________

Kudos if my post helps!

Long And A Fruitful Journey - V21 to V41; If I can, So Can You!!

Preparing for RC my way

My study resources:
1. Useful Formulae, Concepts and Tricks-Quant
2. e-GMAT's ALL SC Compilation
3. LSAT RC compilation
4. Actual LSAT CR collection by Broal
5. QOTD RC (Carcass)
6. Challange OG RC
7. GMAT Prep Challenge RC

Senior DS Moderator
Joined: 27 Oct 2017
Posts: 904
Location: India
Concentration: International Business, General Management
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, 07:59
See the attachment
Attachments

2018-02-06 at 21-02-15.jpg [ 33.16 KiB | Viewed 320 times ]

_________________
If x and y are integers, is x less than y ? &nbs [#permalink] 06 Feb 2018, 07:59
Display posts from previous: Sort by

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

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 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®.