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denotes biggest integer smaller than x. Is > ? 1. x= +1

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denotes biggest integer smaller than x. Is > ? 1. x= +1  [#permalink]

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New post 31 May 2008, 00:14
[x] denotes biggest integer smaller than x. Is [x]>[-x]?
1. x=[x]+1
2. x+1>0

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Re: M19-36  [#permalink]

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New post 31 May 2008, 03:07
Question stem is incorrect: what abt -1.5 for example - biggest integer smaller than it is undefined!!!
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Re: M19-36  [#permalink]

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New post 31 May 2008, 06:39
sondenso wrote:
[x] denotes biggest integer smaller than x. Is [x]>[-x]?
1. x=[x]+1
2. x+1>0


sandenso i thik we just haveto check whether x=0, or les than 0 or greater than 0 in that case the inequality in the stem cannot be proved

1) from 1 we just know that x is a integer it can be 0,negative,poitive

2) from 2 we know that x>-1 same here we cannot prove wheter x=0 or less that or greter than 0

combining but still we cannot prove the in equality

so i think the ans should be e
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Re: M19-36  [#permalink]

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New post 31 May 2008, 06:45
iamcartic wrote:
Question stem is incorrect: what abt -1.5 for example - biggest integer smaller than it is undefined!!!


Hi cartic
I dont think the question stem is incorrect.
It maybe worded differently.
It means the largest integer less than or equal to x.
So if its [-1.5]
The value of it would be -2.
-2 is the largest integer less than or equal to-1.5.

Hope that helps !
And docorrect me if I am wrong

Cheers !
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Re: M19-36  [#permalink]

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New post 16 May 2011, 06:14
rohit929 wrote:
sondenso wrote:
[x] denotes biggest integer smaller than x. Is [x]>[-x]?
1. x=[x]+1
2. x+1>0


sandenso i thik we just haveto check whether x=0, or les than 0 or greater than 0 in that case the inequality in the stem cannot be proved

1) from 1 we just know that x is a integer it can be 0,negative,poitive

2) from 2 we know that x>-1 same here we cannot prove wheter x=0 or less that or greter than 0

combining but still we cannot prove the in equality

so i think the ans should be e


dont you think stem 1 gives that x> 0

because if x> 0 then biggest integer smaller than this will x=[x] +1 and x< 0 -x< -[x]
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Re: M19-36  [#permalink]

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New post 16 May 2011, 10:29
kamalkicks wrote:
rohit929 wrote:
sondenso wrote:
[x] denotes biggest integer smaller than x. Is [x]>[-x]?
1. x=[x]+1
2. x+1>0


sandenso i thik we just haveto check whether x=0, or les than 0 or greater than 0 in that case the inequality in the stem cannot be proved

1) from 1 we just know that x is a integer it can be 0,negative,poitive

2) from 2 we know that x>-1 same here we cannot prove wheter x=0 or less that or greter than 0

combining but still we cannot prove the in equality

so i think the ans should be e


dont you think stem 1 gives that x> 0

because if x> 0 then biggest integer smaller than this will x=[x] +1 and x< 0 -x< -[x]


No, st1 just tells us that x is an integer.

x can be -5. [x]=-6
x can be 0. [x]=-1
x can be 1. [x]=0
x can be 5. [x]=4
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Re: M19-36  [#permalink]

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New post 17 May 2011, 19:10
Answer is E.

S1 and S2 does not preclude x from being 0.
When x = 0, the answer is NO
When x = 1, the answer is YES

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Re: M19-36 &nbs [#permalink] 17 May 2011, 19:10
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denotes biggest integer smaller than x. Is > ? 1. x= +1

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