Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 27 Jun 2016, 23:40

### 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 June
Open Detailed Calendar

# If x is a positive integer and y is a negative integer, what

Author Message
Director
Joined: 19 Mar 2007
Posts: 524
Followers: 3

Kudos [?]: 24 [0], given: 0

If x is a positive integer and y is a negative integer, what [#permalink]

### Show Tags

26 Mar 2007, 04:46
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If x is a positive integer and y is a negative integer, what is the largest possible value of 1 / (x - y)?

a)1/4

b)1/2

c)2/3

d)3/4

e)1
SVP
Joined: 01 May 2006
Posts: 1798
Followers: 9

Kudos [?]: 132 [0], given: 0

### Show Tags

26 Mar 2007, 05:30
(B) for me

we want that x-y is the most little possible.... In case of integers with x positive and y negative, the solution is to take x = 1 and y = -1.

Note that:
> 1 is impossible
> 2/3 and 3/4 are also ruled out because x and y are integers... It's not possible to have 2 or 3 in numerator (in case of simplified solution )
Director
Joined: 30 Nov 2006
Posts: 591
Location: Kuwait
Followers: 14

Kudos [?]: 228 [0], given: 0

### Show Tags

26 Mar 2007, 07:40
If x is a positive integer and y is a negative integer, what is the largest possible value of 1 / (x - y)?

Largest possible value of a fraction means largest possible numerator and smallest possible denominator

numerator is 1, fixed
denominator is x-y --> miminimze [smallest difference between x and y]

best value would be if x-y is a really small fraction. However, as stated in the problem, x and y are both integers --> the difference is an integer.
Therefore, best difference is value of 1 [x-y=1]

Since x is positive and y is negative, it is impossible to have x-y=1 because smallest +ive is 1 and largest -ive is -1 and hence the difference is 2

Best case, or as we may say the largest possible value for 1/(x-y) is 1/2

Display posts from previous: Sort by