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

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Walkabout wrote:
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.

Answer: A.

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

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

-2 + 3 + 2 = 3

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

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

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

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New post 05 Aug 2015, 19:17
[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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Re: If [x] is the greatest integer less than or equal to x, what [#permalink]

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New post 05 Aug 2015, 19:22
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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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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Walkabout wrote:
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

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

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

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New post 07 Aug 2017, 09:05
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!

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Re: If [x] is the greatest integer less than or equal to x, what   [#permalink] 07 Aug 2017, 09:05
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