It is currently 20 Oct 2017, 23:57

Close

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Is pq < 4 ?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Manager
Manager
avatar
S
Joined: 13 Apr 2010
Posts: 77

Kudos [?]: 23 [0], given: 9

Reviews Badge
Is pq < 4 ? [#permalink]

Show Tags

New post 28 Aug 2017, 12:47
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

52% (01:09) correct 48% (01:39) wrong based on 33 sessions

HideShow timer Statistics

Is pq < 4 ?

1) \(p^2 + q^2\) < 8
2) p - q < 1
[Reveal] Spoiler: OA

Kudos [?]: 23 [0], given: 9

Expert Post
Math Forum Moderator
avatar
P
Joined: 02 Aug 2009
Posts: 4985

Kudos [?]: 5496 [0], given: 112

Is pq < 4 ? [#permalink]

Show Tags

New post 28 Aug 2017, 17:51
Expert's post
1
This post was
BOOKMARKED
sb0541 wrote:
Is pq < 4 ?

1) \(p^2 + q^2\) < 8
2) p - q < 1



Hi...

Is PQ<4..
Let's see the statements..
1) \(p^2+q^2<8\)..
\((p-q)^2+2pq<8.........(p-q)^2<8-2pq\)
Now 2pq has to be LESS than 8 otherwise LHS, (p-q)^2 will become negative, which is NOT possible.
So 2pq<8.....PQ<4..
Sufficient

2) p-q<1
Various combinations possible
Insufficient

A
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html


Last edited by chetan2u on 29 Aug 2017, 02:24, edited 1 time in total.
edited

Kudos [?]: 5496 [0], given: 112

1 KUDOS received
Intern
Intern
avatar
B
Joined: 08 Jun 2015
Posts: 20

Kudos [?]: 2 [1], given: 36

Location: United States
Concentration: Finance, Economics
WE: Engineering (Other)
Re: Is pq < 4 ? [#permalink]

Show Tags

New post 29 Aug 2017, 01:42
1
This post received
KUDOS
chetan2u wrote:
sb0541 wrote:
Is pq < 4 ?

1) \(p^2 + q^2\) < 8
2) p - q < 1



Hi...

Is PQ<4..
Let's see the statements..
1) \(p^2+q^2<8\)..
\((p+q)^2-2pq<8.........(p+q)^2<8-2pq\)
Now 2pq has to be LESS than 8 otherwise LHS, (p+Q)^2 will become negative, which is NOT possible.
So 2pq<8.....PQ<4..
Sufficient

2) p-q<1
Various combinations possible
Insufficient

A


Hi chetan2u

Wouldn't the "-2pq" will become "+2pq" when taken from LHS to RHS??

Kudos [?]: 2 [1], given: 36

Expert Post
Math Forum Moderator
avatar
P
Joined: 02 Aug 2009
Posts: 4985

Kudos [?]: 5496 [0], given: 112

Re: Is pq < 4 ? [#permalink]

Show Tags

New post 29 Aug 2017, 02:26
shivam2506 wrote:
chetan2u wrote:
sb0541 wrote:
Is pq < 4 ?

1) \(p^2 + q^2\) < 8
2) p - q < 1



Hi...

Is PQ<4..
Let's see the statements..
1) \(p^2+q^2<8\)..
\((p+q)^2-2pq<8.........(p+q)^2<8-2pq\)
Now 2pq has to be LESS than 8 otherwise LHS, (p+Q)^2 will become negative, which is NOT possible.
So 2pq<8.....PQ<4..
Sufficient

2) p-q<1
Various combinations possible
Insufficient

A


Hi chetan2u

Wouldn't the "-2pq" will become "+2pq" when taken from LHS to RHS??



Hi Shivam,
Thanks. Typo, edited now.
Kudos
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 5496 [0], given: 112

Re: Is pq < 4 ?   [#permalink] 29 Aug 2017, 02:26
Display posts from previous: Sort by

Is pq < 4 ?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

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®.