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If [x] denotes the least integer greater than or equal to x, what is

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If [x] denotes the least integer greater than or equal to x, what is  [#permalink]

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New post 01 Oct 2018, 19:23
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If [x] denotes the least integer greater than or equal to x, what is the value of [x+1]=?

(1) [x]=1
(2) [2x]=1
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Posts: 7108
Re: If [x] denotes the least integer greater than or equal to x, what is  [#permalink]

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New post 01 Oct 2018, 19:38
rheabiswal wrote:
If [x] denotes the least integer greater than or equal to x , what is the value of [x+1]=?

A. [x]=1
B. [2x]=1




[x+1] will be same as [x]+1, so we require to know what is x or [x]
(1) [x]=1
[x+1]=1+1=2
Sufficient

(2) [2x]=1
If x<0, the largest possible value will be 0
So if it is 1 it lies between 0 and 1
So 0<2x<1.......0<x<0.5
So [x]=1
Sufficient

D
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: If [x] denotes the least integer greater than or equal to x, what is  [#permalink]

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New post 01 Oct 2018, 20:35
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rheabiswal wrote:
If [x] denotes the least integer greater than or equal to x, what is the value of [x+1]=?

(1) [x]=1
(2) [2x]=1


\([x]\geq{x}\)

S1 - [x]=1
\(0<x\leq{0.9}\)
[x+1] = 2
Sufficient.

S2 - [2x]=1
\(0<x\leq{0.5}\)
[x+1] = 2
Sufficient.

Answer D.
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Re: If [x] denotes the least integer greater than or equal to x, what is &nbs [#permalink] 01 Oct 2018, 20:35
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