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

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Joined: 04 Feb 2018
Posts: 10
Location: India
If [x] denotes the least integer greater than or equal to x, what is  [#permalink]

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01 Oct 2018, 20:23
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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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Joined: 02 Aug 2009
Posts: 7957
Re: If [x] denotes the least integer greater than or equal to x, what is  [#permalink]

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01 Oct 2018, 20:38
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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Re: If [x] denotes the least integer greater than or equal to x, what is  [#permalink]

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01 Oct 2018, 21:35
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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.

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Re: If [x] denotes the least integer greater than or equal to x, what is   [#permalink] 01 Oct 2018, 21:35
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