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

 It is currently 27 Apr 2015, 10:16

### 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

# If p and q are integers and neither p nor q is equal to 0,

Author Message
TAGS:
Director
Joined: 25 Oct 2008
Posts: 610
Location: Kolkata,India
Followers: 9

Kudos [?]: 288 [0], given: 100

If p and q are integers and neither p nor q is equal to 0, [#permalink]  20 Jul 2009, 07:54
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
If p and q are integers and neither p nor q is equal to 0, is p/q > q/p?
1. p^2 > q^2
2.p^3 > q^3

Allright. Simplifying the main equation,
p/q > q/p
= p^2 > q^2.

Is'nt this what the first stmt. is clearly stating?So I answered A and clearly it is wrong.Shed some light guys!
_________________
Current Student
Affiliations: ?
Joined: 20 Jul 2009
Posts: 191
Location: Africa/Europe
Schools: Kellogg; Ross (); Tuck
Followers: 2

Kudos [?]: 31 [0], given: 6

Re: p and q are integers [#permalink]  20 Jul 2009, 08:11
Hey,
by simplifying that way, you assumed that p and q are both POSITIVE integers... stimulus says "integers"

let me look closer to it....
Senior Manager
Joined: 04 Jun 2008
Posts: 305
Followers: 5

Kudos [?]: 112 [0], given: 15

Re: p and q are integers [#permalink]  20 Jul 2009, 08:34
If p and q were positive, then your approach would have been correct. But if exactly one of them is negative, then it won't hold true. You cannot multiply either sides by pq then because inequality sign reverses upon multiplication with a negative quantity.

You can test this with random numbers
take p = -3, q = -2....... ans is yes
take p = -3, q = 2........ ans is no

you could make out why stmt 2 was insufficient so not discussing that.

Combining, you know that whatever the sign, p is always greater than q (from stmt 2)
Yet, q could be a negative intgr while p were a positive one. in that case p/q < q/p

so ans should be E
Re: p and q are integers   [#permalink] 20 Jul 2009, 08:34
Similar topics Replies Last post
Similar
Topics:
2 If p and q are nonzero numbers, and p is not equal to q, in 1 22 Jul 2014, 07:15
4 If p q and r are integers, is p+q+r> 0 ? 3 19 Apr 2012, 02:20
4 If p and q are integers, such that p < 0 < q, and s is a 2 08 Mar 2012, 20:00
If p is an integer, is q an integer? 1 11 Feb 2012, 17:41
There are positive integers P, Q, and R. Are they all equal? 6 31 Aug 2006, 19:48
Display posts from previous: Sort by