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

 It is currently 14 Dec 2018, 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

## Events & Promotions

###### Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### Free GMAT Strategy Webinar

December 15, 2018

December 15, 2018

07:00 AM PST

09:00 AM PST

Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

# Given that x ≠ 0, y ≠ 0, and (x + y) ≠ 0, is y/x > y/(x + y) ?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 51215
Given that x ≠ 0, y ≠ 0, and (x + y) ≠ 0, is y/x > y/(x + y) ?  [#permalink]

### Show Tags

13 Aug 2018, 02:20
00:00

Difficulty:

45% (medium)

Question Stats:

65% (01:58) correct 35% (02:48) wrong based on 31 sessions

### HideShow timer Statistics

Given that x ≠ 0, y ≠ 0, and (x + y) ≠ 0, is y/x > y/(x + y) ?

(1) x > -1

(2) y > -1

_________________
Manager
Joined: 08 Oct 2015
Posts: 241
Given that x ≠ 0, y ≠ 0, and (x + y) ≠ 0, is y/x > y/(x + y) ?  [#permalink]

### Show Tags

Updated on: 13 Aug 2018, 03:15
question boils down to :

is y^2/ x^2+xy >0

that is, is xy>0

for this we would need to know whether both x and y are of the same sign.
a and b is required for this, hence c is the ans if it were given that a and b are integers.

but we arent given this, hence a and b can be negative decimals.
so E

Originally posted by rahulkashyap on 13 Aug 2018, 02:43.
Last edited by rahulkashyap on 13 Aug 2018, 03:15, edited 1 time in total.
Math Expert
Joined: 02 Aug 2009
Posts: 7106
Given that x ≠ 0, y ≠ 0, and (x + y) ≠ 0, is y/x > y/(x + y) ?  [#permalink]

### Show Tags

13 Aug 2018, 02:56
Given that x ≠ 0, y ≠ 0, and (x + y) ≠ 0, is y/x > y/(x + y) ?

Clearly we require both values so individually both are insufficient

Combined
x > -1 and y > -1
Say x=-1/2 and y=2, $$\frac{2*2}{-1}>2/(2-1/2)$$.......-4>4/3..............NO

Say x=4 and y=2, $$\frac{2}{4}>\frac{2}{4+2}$$.......1/2>1/3................YES

Insufficient

E
_________________

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

Given that x ≠ 0, y ≠ 0, and (x + y) ≠ 0, is y/x > y/(x + y) ? &nbs [#permalink] 13 Aug 2018, 02:56
Display posts from previous: Sort by