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

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

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17 Dec 2012, 08:02
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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
[Reveal] Spoiler: OA
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Re: If [x] is the greatest integer less than or equal to x, what [#permalink]

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17 Dec 2012, 08:06
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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

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.

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Hope it helps.
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Re: If [x] is the greatest integer less than or equal to x, what [#permalink]

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17 Dec 2012, 08:28
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.
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Re: If [x] is the greatest integer less than or equal to x, what [#permalink]

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17 Dec 2012, 23:53
[-1.6] = -2
[3.4] = 3
[2.7] = 2

-2 + 3 + 2 = 3

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

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21 Jun 2014, 18:56
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Re: If [x] is the greatest integer less than or equal to x, what [#permalink]

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05 Aug 2015, 18:13
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Re: If [x] is the greatest integer less than or equal to x, what [#permalink]

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05 Aug 2015, 18:17
[2.7] = 3 or 2 ?

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

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05 Aug 2015, 18:20
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05 Aug 2015, 18:22
Oh yes. Thank you

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

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28 Aug 2015, 04:09
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Engr2012 wrote:
MrPerfect wrote:
[2.7] = 3 or 2 ?

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

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21 Jun 2016, 09:35
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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

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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Re: If [x] is the greatest integer less than or equal to x, what   [#permalink] 21 Jun 2016, 09:35
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