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

 It is currently 03 Jul 2015, 21:24

### 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 is an integer and m = -p + (12)*p is m^3 >1? (1) p

Author Message
TAGS:
Manager
Joined: 25 Jul 2006
Posts: 100
Followers: 1

Kudos [?]: 4 [0], given: 0

If p is an integer and m = -p + (12)*p is m^3 >1? (1) p [#permalink]  07 Aug 2006, 17:32
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 1 sessions
If p is an integer and m = -p + (12)*p is m^3 >1?

(1) p is even
(2) p^3<1
VP
Joined: 02 Jun 2006
Posts: 1266
Followers: 2

Kudos [?]: 48 [0], given: 0

Given m = -p + 12p = 11p
Is 11^3 x p^3 > 1?

S1: p is even

If p = 2, 11^3 x 8 > 1 is true.
If p =-2, 11^3 x-8 > 1 is false.

Not sufficient.

S2: p^3 < 1
As p is an integer, p < 0 i.e. p is -ve.
Therefore, 11^3xp^3 > 1 is false.
Sufficient.

Intern
Joined: 22 Jan 2006
Posts: 3
Followers: 0

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

Re: DS with number properties [#permalink]  07 Aug 2006, 21:08
2times wrote:
If p is an integer and m = -p + (12)*p is m^3 >1?

(1) p is even
(2) p^3<1

m=-p + (12)*p=11p

Is m^3>1?
statement 1: p is even
p=-2, 2,4...

not sufficient

statement 2: p^3<1
=> p must be -ve
=>m = 11p is also -ve
=>m^3<0 < 1
sufficient

SVP
Joined: 30 Mar 2006
Posts: 1737
Followers: 1

Kudos [?]: 46 [0], given: 0

B

1) p is even

hence p can be -4, -2, 2, 4 etc
when p = -2
m = -22, m^3 <1
When p = 2
m = 26, m^3 > 1

Not suff.

2) p^3 < 1
Hence p is negative.
Then m = -ve
hence m^3 is always less than 1
Suff
Manager
Joined: 20 Mar 2006
Posts: 200
Followers: 1

Kudos [?]: 1 [0], given: 0

Re: DS with number properties [#permalink]  11 Aug 2006, 19:45
2times wrote:
If p is an integer and m = -p + (12)*p is m^3 >1?

(1) p is even
(2) p^3<1

p={ I, 0,+,-}

(1) p=0 --> m=0--> m^3> 1 --> No
p=2--> m=22--> m^3> 1 --> Yes
BCE

(2)
p=0 --> m=0--> m^3> 1 --> No
p= -1 --> m= -11 --> m^3> 1 --> No

Hence B
Heman
Re: DS with number properties   [#permalink] 11 Aug 2006, 19:45
Similar topics Replies Last post
Similar
Topics:
The integer m and p are such that 2<m<p>1? 6 13 Sep 2007, 09:56
If p is an integer and m = -p + (-2)^p, is m^3 > 1 ? 1: p 2 15 Jul 2007, 20:05
if p is an integer and m=-p+(-2)^p is m^3>1 1. p is even 9 08 Nov 2006, 02:17
If p is an integer and m=-p+(-2)^p is m >1 1. p is even 4 07 Apr 2006, 20:48
If p is an integer and m = -p + (-2)**p, is m**3 > 1? 7 28 Nov 2005, 06:58
Display posts from previous: Sort by

# If p is an integer and m = -p + (12)*p is m^3 >1? (1) p

 Powered by phpBB © phpBB Group and phpBB SEO Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.