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[m] is defined as the greatest integer less than or equal to m, what i

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6826
GMAT 1: 760 Q51 V42
GPA: 3.82
[m] is defined as the greatest integer less than or equal to m, what i  [#permalink]

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31 Mar 2017, 00:34
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[m] is defined as the greatest integer less than or equal to m, what is the value of [m]?

1) 1<m<2
2) |m|<1

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Re: [m] is defined as the greatest integer less than or equal to m, what i  [#permalink]

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31 Mar 2017, 06:21
MathRevolution wrote:
[m] is defined as the greatest integer less than or equal to m, what is the value of [m]?

1) 1<m<2
2) |m|<1

1) 1<m<2 - [m] has to be 1 - Sufficient.

2) |m|<1 - Not sufficient.

If m=0.5 then [m]=0. If m=-0.5 then [m]=-1.

Hence A.

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
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GMAT 1: 760 Q51 V42
GPA: 3.82
Re: [m] is defined as the greatest integer less than or equal to m, what i  [#permalink]

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02 Apr 2017, 17:19
==> In the original condition, there is 1 variable (m) and in order to match the number of variables to the number of equations, there must be 1 equation. Since there is 1 for con 1) and 1 for con 2), D is most likely to be the answer.
For con 1), from [m]=1, it is unique and sufficient.
For con 2), from -1<m<1, you get [0]=0, but from [0.1]=-1, it is not unique and not sufficient.

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Re: [m] is defined as the greatest integer less than or equal to m, what i  [#permalink]

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02 Apr 2017, 21:20
1) Since m is between 1 and 2 (not inclusive) than we have only one solution 1. Sufficient.
2) According to this statement -1<m<1. Therefore, [m] could be -1 or 0. Not sufficient.

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Re: [m] is defined as the greatest integer less than or equal to m, what i &nbs [#permalink] 02 Apr 2017, 21:20
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