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# denotes the least integer greater or equal x, =? 1) =1 2) =1

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denotes the least integer greater or equal x, =? 1) =1 2) =1 [#permalink]  06 May 2006, 00:37
[x] denotes the least integer greater or equal x, [2x]=?

1) [x]=1
2) [3x]=1
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Re: [2x]=? [#permalink]  06 May 2006, 09:10
getzgetzu wrote:
[x] denotes the least integer greater or equal x, [2x]=?

1) [x]=1
2) [3x]=1

i. x could be 1 or a fraction. so insuff......
ii. x is only a decimal/fraction. so irrespective of the value of x, 2[x] = 1 as well.

B.
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Using mathematical notations:

I: [x] = 1 ==> x belongs to (0,1] (i.e. 0 < x <= 1) ==> 2x belongs to (0,2] ==> [2x] = 1 or 2. So we cannot get a unique value.

II: [3x] =1 ==> 3x belongs to (0,1] (i.e. 0 < x <= 1) ==> x belongs to (0,1/3] ==> 2x belongs to (0,2/3] ==> [2x] = 1

So B is sufficient.
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Agreed with B!

Good question!
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