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swerve: Legendary Member; Posts: 2499; Joined: Sun Oct 29, 2017 2:04 pm; Followed by:6 members

G(x) is the greatest integer less than or equal to x...

by swerve » Wed Nov 01, 2017 9:40 am

G(x) is the greatest integer less than or equal to x and L(x) is the smallest integer greater than or equal to x. Which of the following can be the value of L(1.1)-G(1.1)?

A. -2
B. -1
C. 0
D. 1
E. 2

The OA is D.

I don't understand this PS question. Please, can any expert explain it for me? Thanks.

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Source: Beat The GMAT — Problem Solving | Wed Nov 01, 2017 9:40 am

DavidG@VeritasPrep: Legendary Member; Posts: 2663; Joined: Wed Jan 14, 2015 8:25 am; Location: Boston, MA; Thanked: 1153 times; Followed by:128 members; GMAT Score:770

by DavidG@VeritasPrep » Wed Nov 01, 2017 10:46 am

swerve wrote:G(x) is the greatest integer less than or equal to x and L(x) is the smallest integer greater than or equal to x. Which of the following can be the value of L(1.1)-G(1.1)?

A. -2
B. -1
C. 0
D. 1
E. 2

The OA is D.

I don't understand this PS question. Please, can any expert explain it for me? Thanks.

L(1.1): the smallest integer greater than or equal to 1.1 is 2
G(1.1): the greatest integer less than or equal to 1.1 is 1

If L(1.1) = 2 and G(1.1) = 1, then L(1.1) - G(1.1) = 2 -1 = 1. The answer is D

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Fri Nov 01, 2019 7:04 pm

swerve wrote:G(x) is the greatest integer less than or equal to x and L(x) is the smallest integer greater than or equal to x. Which of the following can be the value of L(1.1)-G(1.1)?

A. -2
B. -1
C. 0
D. 1
E. 2

The OA is D.

I don't understand this PS question. Please, can any expert explain it for me? Thanks.

Since L(1.1) = 2 and G(1.1) = 1, L(1.1) - G(1.1) = 2 - 1 = 1.

Answer: D

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