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# [x] is the greatest integer less than or equal to x. If [x]=3, then [

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Math Revolution GMAT Instructor
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[x] is the greatest integer less than or equal to x. If [x]=3, then [  [#permalink]

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31 Dec 2016, 00:41
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[x] is the greatest integer less than or equal to x. If [x]=3, then [x/4]=?

A. -2 B. -1 C. 0 D. 1 E. 2

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Re: [x] is the greatest integer less than or equal to x. If [x]=3, then [  [#permalink]

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31 Dec 2016, 06:46
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MathRevolution wrote:
[x] is the greatest integer less than or equal to x. If [x]=3, then [x/4]=?

A. -2 B. -1 C. 0 D. 1 E. 2

Our x can be 3, 3.1, 3.2 .... 3.9

Had our x been equal to 4, x/4 would have been equal to 1, but our x is less than 4. Hence 0<x/4<1

Greatest integer less than or equal to x will be 0.

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 8781
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: [x] is the greatest integer less than or equal to x. If [x]=3, then [  [#permalink]

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01 Jan 2017, 17:35
==> You get [x]=round down. In other words, you get [1.1]=1. Then, from [x]=3, you get 3≤x<4, and if you divide it by 4, you get 3/4≤x<1, which becomes [3/4≤x<1]=0.

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Re: [x] is the greatest integer less than or equal to x. If [x]=3, then [  [#permalink]

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08 Mar 2020, 20:42
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Re: [x] is the greatest integer less than or equal to x. If [x]=3, then [   [#permalink] 08 Mar 2020, 20:42
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