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

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New post 31 Mar 2017, 01:34
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A
B
C
D
E

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  35% (medium)

Question Stats:

74% (00:49) correct 26% (01:00) wrong based on 42 sessions

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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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New post 31 Mar 2017, 07:21
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
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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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New post 02 Apr 2017, 18:19
==> 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.

Therefore, the answer is A.
Answer: A
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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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New post 02 Apr 2017, 22:20
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.
The answer is A.

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Re: [m] is defined as the greatest integer less than or equal to m, what i   [#permalink] 02 Apr 2017, 22:20
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