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

 It is currently 18 Dec 2018, 07:34

# Expecting Soon:

R1 Admission Decisions from McCombs - Join Chat Room for Latest Updates

### 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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### Happy Christmas 20% Sale! Math Revolution All-In-One Products!

December 20, 2018

December 20, 2018

10:00 PM PST

11:00 PM PST

This is the most inexpensive and attractive price in the market. Get the course now!
• ### Key Strategies to Master GMAT SC

December 22, 2018

December 22, 2018

07:00 AM PST

09:00 AM PST

Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

# If x^2-xy<0, what is the number of possible integer values of x?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Aug 2009
Posts: 7112
If x^2-xy<0, what is the number of possible integer values of x?  [#permalink]

### Show Tags

14 Aug 2018, 04:12
00:00

Difficulty:

65% (hard)

Question Stats:

51% (01:11) correct 49% (01:12) wrong based on 58 sessions

### HideShow timer Statistics

If $$x^2-xy<0$$, what is the number of possible integer values of x?

(1) $$|y|=5$$
(2) $$y^3=125$$

New question!!!..
Kudos for correct solution

_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

Manager
Joined: 28 Jun 2018
Posts: 147
Location: India
Concentration: Finance, Marketing
Schools: CUHK '21 (II)
GMAT 1: 650 Q49 V30
GPA: 4
Re: If x^2-xy<0, what is the number of possible integer values of x?  [#permalink]

### Show Tags

14 Aug 2018, 04:36
1
Lets check question statement itself
$$x^{2}$$−xy<0
x(x-y) < 0

that means either x or x-y one of them is negative . (both cannot be negative or positive)

lets check statement 1 : |y| = 5
this tells us that y = 5 or -5

case 1: so if y is positive , x (x-5) < 0
so x can take values between 0 to 5 , integer values = 1,2,3,4

Case 2: so if y is negative , x (x+5) < 0
so x can take any values between -5 to 0 , integer values = -1,-2,-3,-4

so in either case possible integer values for x are 4.

Statement 2 : $$y^{3}$$ = 125
so value of y can only be y = 5 , which we have already solved and gives count of integer values = 4

So both statements are sufficient
Ans should be D
_________________

What to do if you are new to GMAT:
https://gmatclub.com/forum/what-to-do-if-you-are-new-272708.html#p2108758

Give me kudos if you like it , it's totally harmless

Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 931
WE: Supply Chain Management (Energy and Utilities)
Re: If x^2-xy<0, what is the number of possible integer values of x?  [#permalink]

### Show Tags

14 Aug 2018, 04:38
1
chetan2u wrote:
If $$x^2-xy<0$$, what is the number of possible integer values of x?
(1)$$|y|=5$$
(2)$$y^3=125$$

New question!!!..
Kudos for correct solution

Question stem:- what is the number of possible integer values of x?

St1:- $$|y|=5$$
Or, y=5, -5
Given, $$x^2-xy<0$$
a) when y=5, we have $$x^2-5x<0$$
Or, x(x-5)<0
Or, 0<x<5
Possible integer values:- 4 (1,2,3,4)
b) when y= -5, we have $$x^2+5x<0$$
Or, x(x+5)<0
Or, -5<x<0
Possible integer values:- 4 (-4,-3,-2,-1)
Sufficient.
St2:- $$y^3=125$$
Or, y=5
a) when y=5, we have $$x^2-5x<0$$
Or, x(x-5)<0
Or, 0<x<5
Possible integer values:- 4 (1,2,3,4)
Sufficient.

Ans. (D)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Re: If x^2-xy<0, what is the number of possible integer values of x? &nbs [#permalink] 14 Aug 2018, 04:38
Display posts from previous: Sort by