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

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Difficulty:   25% (medium)

Question Stats: 70% (00:49) correct 30% (01:03) wrong based on 2286 sessions

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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: 59588
Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

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20
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.

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Hope it helps.
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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]

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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: 398
Concentration: Marketing, Finance
GPA: 3.23
Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

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[-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]

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[2.7] = 3 or 2 ?

Sent from my GT-I9082 using Tapatalk
CEO  S
Joined: 20 Mar 2014
Posts: 2561
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Schools: Kellogg '18 (M)
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Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

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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]

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Oh yes. Thank you

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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]

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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

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Target Test Prep Representative G
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2809
Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

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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

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Senior Manager  S
Joined: 15 Jan 2017
Posts: 333
Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

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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]

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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: 59588
Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

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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] = ?
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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]

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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: 74
Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

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

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