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if [x] = -1, which one is true?

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if [x] = -1, which one is true? [#permalink] New post 16 Aug 2009, 00:49
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)[x] denotes largest integer less than or equal to x if [x] = -1, which one is true?

x=1
-2=<x<-1
-2<x<=-1
-1=<x<0
-1<x<=0
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Re: if [x] = -1, which one is true? [#permalink] New post 16 Aug 2009, 02:02
I am not sure about the answer but is it D? i am just logically applying the question. Please explain the answer.
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Re: if [x] = -1, which one is true? [#permalink] New post 16 Aug 2009, 23:22
Ans D

if [x] denotes largest integer less than or equal to x this means

if x = 2.5 then [x] = 2 (greatest interger condition is applicable...in fraction)
if x = 1 then [x] = 1 ( greatest and equal to condition applicalbe....in integer)

now apply this logic in reverse direction we get if [x] = -1 then x has to be greater than and equal to -1 but x cannot be = 0 becoz if it is = 0 then [x] = 0 thus

Ans is -1=<x<0...OA D
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Re: if [x] = -1, which one is true? [#permalink] New post 18 Aug 2009, 02:42
bhushan252 wrote:
Ans D

if [x] denotes largest integer less than or equal to x this means

if x = 2.5 then [x] = 2 (greatest interger condition is applicable...in fraction)
if x = 1 then [x] = 1 ( greatest and equal to condition applicalbe....in integer)

now apply this logic in reverse direction we get if [x] = -1 then x has to be greater than and equal to -1 but x cannot be = 0 becoz if it is = 0 then [x] = 0 thus

Ans is -1=<x<0...OA D


but is that x cannot be 0 , i think it can be, if x = 0 , then [x] can be 0 or -1..
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Re: if [x] = -1, which one is true? [#permalink] New post 18 Aug 2009, 04:32
crejoc wrote:
bhushan252 wrote:
Ans D

if [x] denotes largest integer less than or equal to x this means

if x = 2.5 then [x] = 2 (greatest interger condition is applicable...in fraction)
if x = 1 then [x] = 1 ( greatest and equal to condition applicalbe....in integer)

now apply this logic in reverse direction we get if [x] = -1 then x has to be greater than and equal to -1 but x cannot be = 0 becoz if it is = 0 then [x] = 0 thus

Ans is -1=<x<0...OA D


but is that x cannot be 0 , i think it can be, if x = 0 , then [x] can be 0 or -1..

x can be 0 in option E which is incorrect:)
Re: if [x] = -1, which one is true?   [#permalink] 18 Aug 2009, 04:32
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