GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 20 Oct 2018, 12:42

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

If P=2^(x^2+10x+72) and Q=2^(x^2+16x+54), where x is a positive

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

Hide Tags

Ask GMAT Experts Forum Moderator
User avatar
V
Status: Preparing for GMAT
Joined: 25 Nov 2015
Posts: 967
Location: India
GPA: 3.64
GMAT ToolKit User Premium Member Reviews Badge CAT Tests
If P=2^(x^2+10x+72) and Q=2^(x^2+16x+54), where x is a positive  [#permalink]

Show Tags

New post 14 Mar 2018, 09:26
1
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

60% (02:05) correct 40% (02:40) wrong based on 26 sessions

HideShow timer Statistics

If \(P=2^{(x^2+10x+72)}\) and \(Q=2^{(x^2+16x+54)}\), where x is a positive integer, such that the LCM of P and Q is P, the number of values that x can take is
A) 1
B) 2
C) 3
D) 4
E) 5

_________________

Please give kudos, if you like my post

When the going gets tough, the tough gets going...

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6967
Re: If P=2^(x^2+10x+72) and Q=2^(x^2+16x+54), where x is a positive  [#permalink]

Show Tags

New post 14 Mar 2018, 09:58
1
1
souvonik2k wrote:
If \(P=2^{(x^2+10x+72)}\) and \(Q=2^{(x^2+16x+54)}\), where x is a positive integer, such that the LCM of P and Q is P, the number of values that x can take is
A) 1
B) 2
C) 3
D) 4
E) 5



If LCM of p and q is p, then p will not be less than Q, but equal to or greater than q..
So \(x^2+10x+72>=x^2+16x+54.....6x<=18.....x<=3\)

Since x is positive integer, it can take value of 1,2 or 3..
Ans 3

C
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

GMAT Club Bot
Re: If P=2^(x^2+10x+72) and Q=2^(x^2+16x+54), where x is a positive &nbs [#permalink] 14 Mar 2018, 09:58
Display posts from previous: Sort by

If P=2^(x^2+10x+72) and Q=2^(x^2+16x+54), where x is a positive

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.