It is currently 21 Feb 2018, 13:16

### 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

# Let k and p be nonzero integers. Is k - 1/p >= 1/p?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 43853
Let k and p be nonzero integers. Is k - 1/p >= 1/p? [#permalink]

### Show Tags

21 Mar 2017, 04:46
00:00

Difficulty:

(N/A)

Question Stats:

38% (01:06) correct 62% (00:47) wrong based on 16 sessions

### HideShow timer Statistics

Let k and p be nonzero integers. Is $$k - \frac{1}{p} \geq \frac{1}{p}$$?

(1) k and p are distinct and positive.
(2) k = 1 and |p|>1.
[Reveal] Spoiler: OA

_________________
Manager
Joined: 02 Aug 2015
Posts: 70
Re: Let k and p be nonzero integers. Is k - 1/p >= 1/p? [#permalink]

### Show Tags

21 Mar 2017, 05:11
1
KUDOS
Bunuel wrote:
Let k and p be nonzero integers. Is $$k - \frac{1}{p} \geq \frac{1}{p}$$?

(1) k and p are distinct and positive.
(2) k = 1 and |p|>1.

On simplying the equation we get is k>= (2/p) ?

(1) k and p are distinct and positive. - Sufficient

k=1 and p=2. Is k>= (2/p) ? - Yes
k=3 and p=1. Is k>= (2/p) ? - Yes

Note : The condition fails only for k=p=1. This cannot be the case as the numbers are distinct.

(2) k = 1 and |p|>1 - Sufficient

1>= (2/p). p can vary from [- infinity, 2] and [2, infinity]. Substituting the limits we can see this statement is also sufficient.

Hence D.

Cheers!
Re: Let k and p be nonzero integers. Is k - 1/p >= 1/p?   [#permalink] 21 Mar 2017, 05:11
Display posts from previous: Sort by