GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 22 Jan 2020, 12:40

### 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

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

# If [x] is the greatest integer less than or equal to x, what is the va

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

### Hide Tags

Manager
Joined: 02 Dec 2012
Posts: 173
If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

### Show Tags

17 Dec 2012, 09:02
6
70
00:00

Difficulty:

25% (medium)

Question Stats:

69% (00:49) correct 31% (01:02) wrong based on 2455 sessions

### HideShow timer Statistics

If [x] is the greatest integer less than or equal to x, what is the value of [-1.6] + [3.4] + [2.7]?

(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Math Expert
Joined: 02 Sep 2009
Posts: 60605
Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

### Show Tags

17 Dec 2012, 09:06
8
21
If [x] is the greatest integer less than or equal to x, what is the value of [-1.6]+[3.4]+[2.7]?

(A) 3
(B) 4
(C) 5
(D) 6
(E) 7

Some function [] rounds DOWN a number to the nearest integer. For example [1.5]=1, [2]=2, [-1.5]=-2, ...

Thus [-1.6]+[3.4]+[2.7]=-2+3+2=3.

Similar questions to practice:
if-denotes-the-least-integer-greater-than-or-equal-to-x-132223.html
if-denotes-the-greatest-integer-less-than-or-equal-to-x-94687.html
for-all-numbers-t-let-t-be-defined-as-the-greatest-105416.html
is-x-an-odd-integer-1-x-2-2x-99856.html
for-all-z-denotes-the-least-integer-greater-than-or-110561.html
denotes-to-be-the-least-integer-no-less-than-x-is-130841.html
for-all-numbers-t-let-t-be-defined-as-the-greatest-105416.html

Hope it helps.
_________________
Intern
Joined: 26 May 2012
Posts: 16
Concentration: Marketing, Technology
GMAT Date: 09-17-2012
Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

### Show Tags

17 Dec 2012, 09:28
6
1
You are asked what the closest lesser integer value to [x] is.

[-1.6] = -2.0
[3.4] = 3.0
[2.7] = 2.0

Therefore , answer is: -2.0 + 3.0 + 2.0 = 3.0

Option A.
##### General Discussion
Senior Manager
Joined: 13 Aug 2012
Posts: 394
Concentration: Marketing, Finance
GPA: 3.23
Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

### Show Tags

18 Dec 2012, 00:53
[-1.6] = -2
[3.4] = 3
[2.7] = 2

-2 + 3 + 2 = 3

Intern
Joined: 15 Jul 2015
Posts: 2
Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

### Show Tags

05 Aug 2015, 19:17
[2.7] = 3 or 2 ?

Sent from my GT-I9082 using Tapatalk
CEO
Joined: 20 Mar 2014
Posts: 2549
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

### Show Tags

05 Aug 2015, 19:20
MrPerfect wrote:
[2.7] = 3 or 2 ?

Sent from my GT-I9082 using Tapatalk

[2.7] = 2 as [x] is less than x
Intern
Joined: 15 Jul 2015
Posts: 2
Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

### Show Tags

05 Aug 2015, 19:22
Oh yes. Thank you

Sent from my GT-I9082 using Tapatalk
Intern
Joined: 02 Jan 2015
Posts: 22
Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

### Show Tags

28 Aug 2015, 05:09
2
Engr2012 wrote:
MrPerfect wrote:
[2.7] = 3 or 2 ?

Sent from my GT-I9082 using Tapatalk

[2.7] = 2 as [x] is less than x

Since the question says integer <= x
[-1.6]= -2
[2.7] = 2
[3.4] = 3

so,
-2+3+2 =3

------------------------------------------------------
Kindly press"+1 Kudos" to appreciate
Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2806
Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

### Show Tags

21 Jun 2016, 10:35
5
If [x] is the greatest integer less than or equal to x, what is the value of [-1.6]+[3.4]+[2.7]?

(A) 3
(B) 4
(C) 5
(D) 6
(E) 7

Remember that an integer is a "whole number" (either positive or negative), or 0. Thus, if we want to know the greatest integer less than or equal to, for example, 2.1, the answer would be the integer 2, because the integer 2, in this case, is the largest integer that is less than 2.1. Similarly, the greatest integer less than -2.4 would be -3, because the integer -3 is the largest integer that is less than -2.4. Note that in each case, we have rounded down, because of the "less than" requirement stated in the question stem.

We first need to determine the values for [-1.6], [3.4],and [2.7]. Since the notation [x] means the greatest integer less than or equal to x, we will round down each value in the brackets. Therefore,

[-1.6] = -2

[3.4] = 3

[2.7] = 2

We sum these three integers:

-2 + 3 + 2 = 3

_________________

# Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com
181 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Senior Manager
Joined: 15 Jan 2017
Posts: 325
Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

### Show Tags

07 Aug 2017, 09:05
1
karanamin wrote:
You are asked what the closest lesser integer value to [x] is.

[-1.6] = -2.0
[3.4] = 3.0
[2.7] = 2.0

Therefore , answer is: -2.0 + 3.0 + 2.0 = 3.0

Option A.

My question is when we say 'less than equal to' --> it means; we take the smaller integer closest to it?
so for -1.6 it is -2 (coz -2 is less than -1); and 3 for 3.4 and 2 for 2.7 and so on?

Thank you!
Intern
Joined: 29 Oct 2016
Posts: 23
Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

### Show Tags

03 Nov 2017, 18:42
Question - I first approached this question by straight away adding -1.6 + 3.4 + 2.7 but how come we have to find out what each individual value is worth before combining them? Thanks!
Math Expert
Joined: 02 Sep 2009
Posts: 60605
Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

### Show Tags

03 Nov 2017, 23:25
infinitemac wrote:
Question - I first approached this question by straight away adding -1.6 + 3.4 + 2.7 but how come we have to find out what each individual value is worth before combining them? Thanks!

Let me ask you - what is the question:

What is the value of [-1.6] + [3.4] + [2.7] = ?

OR

What is the value of [-1.6 + 3.4 + 2.7] = ?
_________________
Intern
Joined: 29 Oct 2016
Posts: 23
Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

### Show Tags

04 Nov 2017, 05:35
Bunuel wrote:
infinitemac wrote:
Question - I first approached this question by straight away adding -1.6 + 3.4 + 2.7 but how come we have to find out what each individual value is worth before combining them? Thanks!

Let me ask you - what is the question:

What is the value of [-1.6] + [3.4] + [2.7] = ?

OR

What is the value of [-1.6 + 3.4 + 2.7] = ?

Oh okay so because each value is with in its own bracket it needs to be solved first. Thanks!
Manager
Joined: 08 Apr 2017
Posts: 72
Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

### Show Tags

06 Nov 2017, 16:33
karanamin wrote:
You are asked what the closest lesser integer value to [x] is.

[-1.6] = -2.0
[3.4] = 3.0
[2.7] = 2.0

Therefore , answer is: -2.0 + 3.0 + 2.0 = 3.0

Option A.

My question is when we say 'less than equal to' --> it means; we take the smaller integer closest to it?
so for -1.6 it is -2 (coz -2 is less than -1); and 3 for 3.4 and 2 for 2.7 and so on?

Thank you!

That is correct

So less than or equal to would be like this -> [1.6] = 1 or [-2.1] = -3 or [-5] = -5 ;
Non-Human User
Joined: 09 Sep 2013
Posts: 14002
Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

### Show Tags

04 Dec 2019, 14:14
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: If [x] is the greatest integer less than or equal to x, what is the va   [#permalink] 04 Dec 2019, 14:14
Display posts from previous: Sort by

# If [x] is the greatest integer less than or equal to x, what is the va

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne