It is currently 14 Nov 2018, 12:04
My Tests

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.

is defined as the least integer greater than x for all odd v

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4704
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 90

Kudos [?]: 1601 [0], given: 373

CAT Tests
is defined as the least integer greater than x for all odd v [#permalink] New post 25 Jul 2018, 17:19
Expert's post
00:00

Question Stats:

75% (00:58) correct 25% (02:23) wrong based on 8 sessions
\(\alpha(x)\)is defined as the least integer greater than x for all odd values of x, and the greatest integer less than x for all even values of x. What is the value of \(\alpha(-2)-\alpha(5)\)?

(A) –12
(B) –9
(C) –8
(D) –7
(E) 3
[Reveal] Spoiler: OA

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4704
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 90

Kudos [?]: 1601 [0], given: 373

CAT Tests
Re: is defined as the least integer greater than x for all odd v [#permalink] New post 02 Aug 2018, 06:35
Expert's post
Explanation

If \(x\) is odd, \(\alpha (x)\) equals the least integer greater than x (e.g., if x = 3, then the “least integer greater than 3” is equal to 4)

If \(x\) is even, \(\alpha (x)\) equals the greatest integer less than x (e.g., if x = 6, the “greatest integer less than x” is equal to 5.

Since –2 is even, \(\alpha (-2)\) the greatest integer less than –2, or –3.

Since \(5\) is odd, \(\alpha(5)=\) the least integer greater than 5, or 6.

Thus, \(\alpha(-2)-\alpha(5) = -3 - 6 = -9\).
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Intern
Intern
Joined: 22 Jul 2018
Posts: 40
Followers: 0

Kudos [?]: 7 [0], given: 5

CAT Tests
Re: is defined as the least integer greater than x for all odd v [#permalink] New post 19 Oct 2018, 23:30
when x is odd then f(x)= x+1, f(5)= 5+1=6
when x is even then f(x)= x-1= -2-1= -3
-3-6=-9
Re: is defined as the least integer greater than x for all odd v   [#permalink] 19 Oct 2018, 23:30
Display posts from previous: Sort by

is defined as the least integer greater than x for all odd v

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.