BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

Numbers...??!!

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Data Sufficiency |
User avatar
Legendary Member
Posts: 502
Joined: Tue Jun 03, 2008 11:36 pmFollowed by: 21 members
Thanked: 99 times

by vk_vinayak » Wed Aug 29, 2012 11:14 am
nroy347 wrote:If p is a positive integer is P > 4 ?
(1)p^4 = 246
(2)(p^2 -1)(p-4) = 0
After I solved I got A but it was D...
1. 4^4 = 256 => So, if p^4 = 246 then p is less than 4. SUF

2. (p^2 -1)(p-4) = 0 => (p^2 -1)=0 OR (p-4)=0

If(p^2 -1)=0 then p=+1 or -1

If (p-4)=0 then p=4. So, in both the cases p<4. SUF

Ans D.

P.S: Question says p is a positive integer. But according A, p is not an integer. So, I think the option A should be p^4 = 256.
- VK

I will (Learn. Recognize. Apply)
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 145
Joined: Tue Jan 31, 2012 6:50 amFollowed by: 2 members
Location: New Delhi
Thanked: 16 times
GMAT Score:760

by nisagl750 » Thu Aug 30, 2012 2:36 am
nroy347 wrote:If p is a positive integer is P > 4 ?
(1)p^4 = 246
(2)(p^2 -1)(p-4) = 0
After I solved I got A but it was D...
P>4 means Is P>=5 ?
Statement1: P^4 = 246 that means P<4, as 4^4 = 256 - Sufficient
Statement2: (P^2 -1)(p-4) = (p-1)(p+1)(p-4)=0
So P=1, -1, 4
All the values are less than 5
Even P=4 means that P is at least not greater than 4
Sufficient

So, D
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members
Location: Vancouver, BC
Thanked: 5254 times
GMAT Score:770

by Brent@GMATPrepNow » Fri Aug 31, 2012 5:31 am
nroy347 wrote:If p is a positive integer is P > 4 ?
(1)p^4 = 246
(2)(p^2 -1)(p-4) = 0
After I solved I got A but it was D...
This could never be a true GMAT question since statement 1 contradicts the given statement that p is an integer. There is no integer such that p^4 = 246

Aside: Statement 2 is great. Notice that the equation yields 3 different values of p (p= -1, 1, or 4). Since we're told that p is a positive integer, we can rule out p = -1, but we're still left with p = 1 or 4.
At this point, many students will think, "Well, since p can have 2 different values, statement 2 is not sufficient. However, notice that the question doesn't ask "What is the value of p?" It asks, "Is p > 4?" Since both possible values of p are less than 4, we can answer the target question with certainty (no, p is definitely not greater than 4), even though we don't actually know the value of p.

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Junior | Next Rank: 30 Posts
Posts: 10
Joined: Mon Apr 02, 2012 9:53 am

by nroy347 » Sun Sep 09, 2012 1:19 am
But if we would change the question to - 2) (p^2-1)(p-4) > 0 how would the answer change...
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Community Manager
Posts: 1060
Joined: Fri May 13, 2011 6:46 amFollowed by: 52 members
Location: Utrecht, The Netherlands
Thanked: 318 times

by neelgandham » Sun Sep 09, 2012 1:30 am
If 2) (p^2-1)(p-4) > 0, then
p<-1 or p>4. So, statement II would be insufficient to answer the question and the answer would be A
Anil Gandham
Welcome to BEATtheGMAT | Photography | Getting Started | BTG Community rules | MBA Watch
Check out GMAT Prep Now's online course at https://www.gmatprepnow.com/
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1