Last visit was: 23 Jul 2024, 07:56 It is currently 23 Jul 2024, 07:56
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
SORT BY:
Kudos
avatar
Intern
Intern
Joined: 07 Nov 2012
Posts: 11
Own Kudos [?]: 131 [5]
Given Kudos: 10
Send PM
Math Expert
Joined: 02 Sep 2009
Posts: 94586
Own Kudos [?]: 643245 [3]
Given Kudos: 86728
Send PM
Math Expert
Joined: 02 Sep 2009
Posts: 94586
Own Kudos [?]: 643245 [0]
Given Kudos: 86728
Send PM
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 19175
Own Kudos [?]: 22702 [0]
Given Kudos: 286
Location: United States (CA)
Send PM
Re: If for any number N, f(N) is defined as the least integer [#permalink]
Expert Reply
derekgmat wrote:
If for any number N, f(N) is defined as the least integer that is greater than or equal to N^2, then f(-1.1) =

(A) -2
(B) -1
(C) 0
(D) 1
(E) 2


Here are some examples for the values of the function f:

f(0) = 1 (since 0^2 = 0 and the least integer that is greater than or equal to 0 is 1)

f(2) = 5 (since 2^2 = 4 and the least integer that is greater than or equal to 4 is 5)

f(3/2) = 3 (since (3/2)^2 = 9/4 = 2.25 and the least integer that is greater than or equal to 2.25 is 3)

f(-7/3) = 6 (since (-7/3)^2 = 49/9 ≈ 5.44 and the least integer that is greater than or equal to 5.44 is 6)

Therefore, since (-1.1)^2 = 1.21. f(-1.1) = 2 since the least integer that is greater than or equal to 1.21 is 2.

Answer: E
GMAT Club Bot
Re: If for any number N, f(N) is defined as the least integer [#permalink]
Moderator:
Math Expert
94586 posts