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

 It is currently 18 Feb 2020, 04:33 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # If [x] is the greatest integer less than or equal to x, what is the va

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

7
1
72 00:00

Difficulty:   25% (medium)

Question Stats: 70% (00:49) correct 30% (01:02) wrong based on 2502 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 V
Joined: 02 Sep 2009
Posts: 61274
Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

### Show Tags

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, [-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

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: 393
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

[-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

[2.7] = 3 or 2 ?

Sent from my GT-I9082 using Tapatalk
CEO  G
Joined: 20 Mar 2014
Posts: 2535
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

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

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

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 G
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2801
Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

### Show Tags

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

Jeff@TargetTestPrep.com

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  S
Joined: 15 Jan 2017
Posts: 321
Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

### Show Tags

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  B
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

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 V
Joined: 02 Sep 2009
Posts: 61274
Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

### Show Tags

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  B
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

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  G
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

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 ;
Intern  B
Joined: 18 Oct 2018
Posts: 10
Location: Thailand
GPA: 3.45
WE: Other (Other)
Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

### Show Tags

So if the question is changed to "[x] is the greatest integer more than or equal to x, what is the value of [-1.6] + [3.4] + [2.7]?"
The answer would be = -1+4+3 = 6 Correct? Re: If [x] is the greatest integer less than or equal to x, what is the va   [#permalink] 10 Feb 2020, 08:29
Display posts from previous: Sort by

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