HI,
I have a question from the 2nd Edition GMAT Quantitive Review.
They are Question 96 and 102 from the Data Sufficiency section.
96. For all z, [z] denotes the least integer greater than or equal to z. Is [x]=0?
(1) -1<x<-0.1
(2) [x+0.5]=1
What does least integer greater than or equal to z mean?
Question 102 also has a similar question
102. [y] denotes the greatest integer less than or equal to y. Is d<1?
(1) d=y-[y]
(2) [d] = 0
Thanks.
Question from Quantitative Review
This topic has expert replies
- cans
- Legendary Member
- Posts: 1309
- Joined: Mon Apr 04, 2011 5:34 am
- Location: India
- Thanked: 310 times
- Followed by:123 members
- GMAT Score:750
[x] =x is x is integer.96. For all z, [z] denotes the least integer greater than or equal to z. Is [x]=0?
(1) -1<x<-0.1
(2) [x+0.5]=1
What does least integer greater than or equal to z mean?
[x]=whole number... if x>0 and non-integer. (lets say x=0.5, then 1 > 0.5 and 1 is smallest of all such integers..)
A) -1<x<-0.1
as x is not an integer, [x]=0
B) [x+0.5]=1
thus 0< x+0.5 <=1
-0.5<x<=0.5
if -0.5<x<=0, [x]=0 but if 0<x<=0.5, [x]=1
insufficient
IMO A
If my post helped you- let me know by pushing the thanks button
Contact me about long distance tutoring!
[email protected]
Cans!!
Contact me about long distance tutoring!
[email protected]
Cans!!
GMAT/MBA Expert
- Anurag@Gurome
- GMAT Instructor
- Posts: 3835
- Joined: Fri Apr 02, 2010 10:00 pm
- Location: Milpitas, CA
- Thanked: 1854 times
- Followed by:523 members
- GMAT Score:770
(1) -1 < x < -0.196. For all z, [z] denotes the least integer greater than or equal to z. Is [x]=0?
(1) -1<x<-0.1
(2) [x+0.5]=1
For any value of x in the above range, 0 is the least integer, which is greater than or equal to x; SUFFICIENT.
(2 [x + 0.5] = 1 implies 0 < x + 0.5 <= 1 => -0.5 < x <= 0.5
If x = -0.4, [x] is 0.
If x = +0.4, [x] is 1; NOT sufficient.
The correct answer is A.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
- cans
- Legendary Member
- Posts: 1309
- Joined: Mon Apr 04, 2011 5:34 am
- Location: India
- Thanked: 310 times
- Followed by:123 members
- GMAT Score:750
B) [d]=0 -> 0<=d<1[y] denotes the greatest integer less than or equal to y. Is d<1?
(1) d=y-[y]
(2) [d] = 0
sufficient
A) d=y-[y]
if y is integer, d=0. sufficient
if y=5.6, [y]=5. d<1 sufficient
if y=-0.6, [y]=-1
d = 0.4 <1
IMO D
If my post helped you- let me know by pushing the thanks button
Contact me about long distance tutoring!
[email protected]
Cans!!
Contact me about long distance tutoring!
[email protected]
Cans!!