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if denotes the greatest integer les than or equal to x, is =

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if denotes the greatest integer les than or equal to x, is = [#permalink]

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New post 10 Aug 2009, 10:04
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Question Stats:

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if [x] denotes the greatest integer les than or equal to x, is [x] = 0?

1. 5x+1=3+2x
2. 0<x<1

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/if-denotes-t ... 94687.html
[Reveal] Spoiler: OA

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Re: if denotes the greatest integer les than or equal to x, is = [#permalink]

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New post 10 Aug 2009, 10:10
1) 5x + 1 = 3 + 2x
3x = 2
x = 2/3
so [x] = 0

2) 0 < x < 1
so [x] = 0

Each of the above statements are individually sufficient to answer. So answer is D

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Re: if denotes the greatest integer les than or equal to x, is = [#permalink]

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New post 11 Jul 2011, 15:48
Statement 1: x=2/3 --> [x] = 0 ==> SUFF.
Statement 2: 0<x<1 --> [x] = 0 ==> SUFF.

The correct answer is D.

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Re: if denotes the greatest integer les than or equal to x, is = [#permalink]

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New post 13 Jul 2011, 04:55
Someone please expain the question ..did not really understand the question...

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Re: if denotes the greatest integer les than or equal to x, is = [#permalink]

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New post 14 Jul 2011, 04:20
was expecting it to be trickier. It would have been more tricky for any value of x<0.

Ans D. 00:43 sec.
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Re: if denotes the greatest integer les than or equal to x, is = [#permalink]

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New post 16 Jul 2011, 09:41
The only substance lies in this question is to rephrase
[x] = 0
into
x<0

& you have the answer & that is 'D'
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Re: if denotes the greatest integer les than or equal to x, is = [#permalink]

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New post 25 Nov 2017, 08:32
Statement 1: VALUE OF X CAN BE FOUND, HENCE --> [x] = CAN BE FOUND==> SUFF.
Statement 2: 0<x<1 --> [x] = 0 ==> SUFF.

The correct answer is D.
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Re: if denotes the greatest integer les than or equal to x, is = [#permalink]

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New post 25 Nov 2017, 09:45
yezz wrote:
if [x] denotes the greatest integer les than or equal to x, is [x] = 0?

1. 5x+1=3+2x
2. 0<x<1


If [x] denotes the greatest integer less than or equal to x, is [x] = 0 ?

Here \(x\) is not said to be an integer. Stem defines some function, represented by the symbol \([]\), as the function which rounds down any number to an integer value:

\([3.4]=3\), \([2]=2\), \([-7.5]=-8\), ...

Q: is \([x]=0\)? Or is \(0\leq{x}<1\)?

(1) 5x + 1 = 3 + 2x --> \(x=\frac{2}{3}\) --> \([\frac{2}{3}]=0\). Sufficient.

(2) 0 < x < 1 --> any \(x\) from this range will round down to 0, so \([x]=0\). Sufficient.

Answer: D.

Hope it helps.


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Re: if denotes the greatest integer les than or equal to x, is =   [#permalink] 25 Nov 2017, 09:45
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