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

It is currently 21 Apr 2019, 09:45

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 x is a positive integer, x=? (1) [(x-5)(x+4)]^1/2 > 10 (2) [(x-5)(x

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

Hide Tags

 
Intern
Intern
avatar
B
Joined: 30 May 2018
Posts: 49
GMAT 1: 620 Q42 V34
WE: Corporate Finance (Commercial Banking)
If x is a positive integer, x=? (1) [(x-5)(x+4)]^1/2 > 10 (2) [(x-5)(x  [#permalink]

Show Tags

New post 06 Apr 2019, 03:27
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

50% (02:16) correct 50% (02:38) wrong based on 24 sessions

HideShow timer Statistics

If x is a positive integer, x=?


(1) \(\sqrt{(x-5)(x+4)} > 10\)

(2) \(\sqrt{(x-5)(x+4)} < 11\)
Manager
Manager
avatar
S
Joined: 25 Feb 2019
Posts: 195
Re: If x is a positive integer, x=? (1) [(x-5)(x+4)]^1/2 > 10 (2) [(x-5)(x  [#permalink]

Show Tags

New post 06 Apr 2019, 03:59
After solving first statement we get ,

x greater the 11.4 approx

x can have many values insufficient


statement 2
we get x less than 12.12 approx

alone insufficient


putting together ,

we get integer value as 12


IMO C



award kudos if helpful

Posted from my mobile device
Intern
Intern
avatar
B
Joined: 30 May 2018
Posts: 49
GMAT 1: 620 Q42 V34
WE: Corporate Finance (Commercial Banking)
Re: If x is a positive integer, x=? (1) [(x-5)(x+4)]^1/2 > 10 (2) [(x-5)(x  [#permalink]

Show Tags

New post 06 Apr 2019, 04:21
m1033512 wrote:
After solving first statement we get ,

x greater the 11.4 approx

x can have many values insufficient


statement 2
we get x less than 12.12 approx

alone insufficient


putting together ,

we get integer value as 12


IMO C



award kudos if helpful

Posted from my mobile device



How did u get 11.4 and 12.12 ? Please show steps.
Manager
Manager
avatar
S
Joined: 25 Feb 2019
Posts: 195
Re: If x is a positive integer, x=? (1) [(x-5)(x+4)]^1/2 > 10 (2) [(x-5)(x  [#permalink]

Show Tags

New post 06 Apr 2019, 05:04
for first statement tonhold true,

we should have
(x-5)*(x+4) >100

x^2-x-20 >100
x^2-x-20-100>0

please solve this quadratic inequation and find the range of values of x

similarly simplify and solve statement 2 also and find the range value of x

and by combining both the statements you will get only 12 is the integer values satisfying this .


Hope this helps

It is very difficult to type all the steps here ...... :(

Posted from my mobile device
GMAT Club Bot
Re: If x is a positive integer, x=? (1) [(x-5)(x+4)]^1/2 > 10 (2) [(x-5)(x   [#permalink] 06 Apr 2019, 05:04
Display posts from previous: Sort by

If x is a positive integer, x=? (1) [(x-5)(x+4)]^1/2 > 10 (2) [(x-5)(x

  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®.