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

 It is currently 28 Aug 2014, 21:40

### 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
Your Progress

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,q,r, and s are nonzero numbers, is (p – 1)(q - 2)

 Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
Senior Manager
Joined: 16 Apr 2009
Posts: 251
Schools: Ross
Followers: 1

Kudos [?]: 21 [0], given: 10

If p,q,r, and s are nonzero numbers, is (p – 1)(q - 2) [#permalink]  11 Aug 2009, 11:45
00:00

Difficulty:

(N/A)

Question Stats:

63% (01:37) correct 38% (00:29) wrong based on 6 sessions
This is a DS 1000 series question(section 5 problem 22)
I couldn't understand the symbol ≧ and assumed as not equal to

If p,q,r, and s are nonzero numbers, is
(p – 1)(q - 2)2(r – 3)3(s – 4)4 ≧ 0?
(1) q > 2 and s > 4
(2) p > 1 and r > 3
[Reveal] Spoiler:
OA is B - I think it should be C

What does this ≧ represent?
_________________

Keep trying no matter how hard it seems, it will get easier.

Manager
Joined: 10 Jul 2009
Posts: 172
Followers: 1

Kudos [?]: 33 [1] , given: 8

Re: ≧ [#permalink]  11 Aug 2009, 12:23
1
This post received
KUDOS
≧ means greater than or equal to.
(p – 1)(q - 2)2(r – 3)3(s – 4)4 ≧ 0
For the above expression to be true, we must know the if (p-1), (r-3) are greater than or equal to zero
as (q-2)^2, (s-4)^4 will always be ≧ 0
from option 2, p>1, r>3
so (p-1)(r-3)^3 ≧0
So option 2 alone is sufficient and answer is B
Manager
Affiliations: CFA Level 2 Candidate
Joined: 29 Jun 2009
Posts: 223
Schools: RD 2: Darden Class of 2012
Followers: 3

Kudos [?]: 54 [0], given: 2

Re: ≧ [#permalink]  12 Aug 2009, 08:15
If p,q,r, and s are nonzero numbers, is
(p – 1)(q - 2)2(r – 3)3(s – 4)4 ≧ 0?
(1) q > 2 and s > 4
(2) p > 1 and r > 3

With the question worded like above the correct OA would be C. However as Aleehsgonji correctly deduced the numbers outside the brackets are exponents.
Since a number with an even exponent will always be positive we only care about p and r

OA - B
Manager
Joined: 30 May 2009
Posts: 220
Followers: 3

Kudos [?]: 53 [0], given: 0

Re: ≧ [#permalink]  12 Aug 2009, 08:20
When you post your question....please use the 'm' to correctly format.

I read the question as

If p,q,r, and s are nonzero numbers, is
(p – 1)(q - 2) * 2(r – 3) * 3(s – 4) *4 ≧ 0? (Multiplication)
in whcih case the OA must be C.

But if the question is with exponents

(p-1)(q-2)^2(r-3)^3(s-4)^4 ≧ 0?

, then the OA is B.
SVP
Joined: 05 Jul 2006
Posts: 1542
Followers: 5

Kudos [?]: 70 [0], given: 39

Re: ≧ [#permalink]  12 Aug 2009, 11:12
If p,q,r, and s are nonzero numbers, is
(p – 1)(q - 2)^2(r – 3)^3(s – 4)^4 ≧ 0?
(1) q > 2 and s > 4
(2) p > 1 and r > 3

the question is asking whether (r-3), (p-1) have the same sign or any of the brackits = 0

from 1

no info about r,p however (q-2),(s-4) not = 0...insuff

from 2
both (p-1),(r-3) are +ve thus suff

B
Re: ≧   [#permalink] 12 Aug 2009, 11:12
Similar topics Replies Last post
Similar
Topics:
Is Q a prime number? 1) Q^2 - 2 = P; P is prime and P < 10 2 17 Jun 2010, 03:32
Does P^2 = Q if P is a prime number? (1) Q^2 - P^2 = 0 (2) 1 12 Mar 2008, 07:59
Does p^2 = q if p is a prime number? (1) q^2 - p^2 = 0 (2) 8 20 Nov 2005, 20:46
If p,q,r, and s are nonzero numbers, is (p 1)(q - 2)2(r 5 10 Oct 2005, 17:46
Does p^2 = q if p is a prime number? (1) q^2 - P^2 = 0 (2) 8 04 Jun 2005, 16:43
Display posts from previous: Sort by

# If p,q,r, and s are nonzero numbers, is (p – 1)(q - 2)

 Question banks Downloads My Bookmarks Reviews Important topics

 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®.