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

 It is currently 15 Nov 2018, 17:20

### 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 November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### Free GMAT Strategy Webinar

November 17, 2018

November 17, 2018

07:00 AM PST

09:00 AM PST

Nov. 17, 7 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.
• ### GMATbuster's Weekly GMAT Quant Quiz # 9

November 17, 2018

November 17, 2018

09:00 AM PST

11:00 AM PST

Join the Quiz Saturday November 17th, 9 AM PST. The Quiz will last approximately 2 hours. Make sure you are on time or you will be at a disadvantage.

# If xy ≠ 0, is 1/x +1/y = 6?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50613
If xy ≠ 0, is 1/x +1/y = 6?  [#permalink]

### Show Tags

24 Dec 2017, 00:52
00:00

Difficulty:

45% (medium)

Question Stats:

69% (01:46) correct 31% (02:17) wrong based on 40 sessions

### HideShow timer Statistics

If xy ≠ 0, is 1/x +1/y = 6?

(1) x = y

(2) x + y = 2/3

_________________
BSchool Forum Moderator
Joined: 28 Mar 2017
Posts: 1225
Location: India
GMAT 1: 730 Q49 V41
GPA: 4
Re: If xy ≠ 0, is 1/x +1/y = 6?  [#permalink]

### Show Tags

24 Dec 2017, 02:10
1
Bunuel wrote:
If xy ≠ 0, is 1/x +1/y = 6?

(1) x = y

(2) x + y = 2/3

Awaiting OA

Statement 1: insufficient; x & y can be 1/3 that makes up 6. x & y can be 1 which makes up 2

Statement 2: insufficient; there can be multiple values possible for such a compbination

Statement 1 & 2: x=y=1/3; sufficient
_________________
Manager
Joined: 15 Aug 2016
Posts: 123
Re: If xy ≠ 0, is 1/x +1/y = 6?  [#permalink]

### Show Tags

24 Dec 2017, 02:39
IMO:C
St:1 gives 2/x. x can be anything. Insufficient.
St:2 gives x+y. We cannot deduce i/x+i/y from that. Insufficient.
St1+St2
x+x=2/3
=>x=1/3.
We can calculate y and thus can calculate 1/x+1/y.
Manager
Joined: 24 Nov 2016
Posts: 152
Re: If xy ≠ 0, is 1/x +1/y = 6?  [#permalink]

### Show Tags

24 Dec 2017, 13:18
1
Bunuel wrote:
If xy ≠ 0, is 1/x +1/y = 6?

(1) x = y

(2) x + y = 2/3

So x and y are not 0, but they could be either a negative or a positive.

Given: 1/x+1/y = x+y/xy.

(1) x = y. $$x+y/xy = 2x/x^2 = 2/x$$, we don't know the values for either, so insufficient.

(2) x + y = 2/3. $$x+y/xy = (2/3)/xy.$$, we don't know the values for either, so insufficient.

(1) & (2) $$x+y = x+x = 2/3$$, so $$2x=2/3$$ and $$x=(2/3)/2=1/3$$; now, $$x+y/xy = 2x/x^2 = 2/x = 2/(1/3) = 6$$, sufficient.

Re: If xy ≠ 0, is 1/x +1/y = 6? &nbs [#permalink] 24 Dec 2017, 13:18
Display posts from previous: Sort by