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

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Retired Moderator
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if [x] = -1, which one is true? [#permalink]

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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

Kudos [?]: 442 [0], given: 49

Manager
Joined: 28 Jul 2009
Posts: 123

Kudos [?]: 95 [0], given: 12

Location: India
Schools: NUS, NTU, SMU, AGSM, Melbourne School of Business
Re: if [x] = -1, which one is true? [#permalink]

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16 Aug 2009, 02:02
_________________

GMAT offended me. Now, its my turn!
Will do anything for Kudos! Please feel free to give one.

Kudos [?]: 95 [0], given: 12

Manager
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Location: India
Schools: South Asian B-schools
Re: if [x] = -1, which one is true? [#permalink]

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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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Bhushan S.
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Kudos [?]: 116 [0], given: 37

Senior Manager
Joined: 17 Mar 2009
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Re: if [x] = -1, which one is true? [#permalink]

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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..

Kudos [?]: 597 [0], given: 22

Director
Joined: 01 Apr 2008
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Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014
Re: if [x] = -1, which one is true? [#permalink]

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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:)

Kudos [?]: 860 [0], given: 18

Re: if [x] = -1, which one is true?   [#permalink] 18 Aug 2009, 04:32
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