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If [x] denotes the greatest integer less than or equal to x and x[x] =

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Bunuel
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If [x] denotes the greatest integer less than or equal to x and x[x] = [#permalink] New post   25 May 2020, 10:13
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If [x] denotes the greatest integer less than or equal to x and x[x] = 10.5, what is the value of x ?

A. 3
B. 3.25
C. 3.35
D. 3.5
E. 3.75


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D
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Bunuel
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Re: If [x] denotes the greatest integer less than or equal to x and x[x] = [#permalink] New post   25 May 2020, 10:15
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Bunuel wrote:
If [X] denotes the greatest integer less than or equal to x and x[x] = 14, what is the value of x ?

A. 3
B. 3.25
C. 3.35
D. 3.5
E. 3.75


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Onyedelmagnifico
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Re: If [x] denotes the greatest integer less than or equal to x and x[x] = [#permalink] New post   25 May 2020, 13:08
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This ought to be the ceiling function [x] denoting the least integer greater than or equal to x.
Hence x=3.5
Since 14=4×3.5
Ceiling [3.5]=4
Hence option D

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Re: If [x] denotes the greatest integer less than or equal to x and x[x] = [#permalink] New post   25 May 2020, 17:22
I think question statement should be like this. NOT LESS, BUT GREATER.

If [X] denotes the greatest integer greater than or equal to x and x[x] = 14, what is the value of x ?



Bunuel wrote:
If [X] denotes the greatest integer less than or equal to x and x[x] = 14, what is the value of x ?

A. 3
B. 3.25
C. 3.35
D. 3.5
E. 3.75


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Re: If [x] denotes the greatest integer less than or equal to x and x[x] = [#permalink] New post   25 May 2020, 21:05
Bunuel wrote:
If [x] denotes the greatest integer less than or equal to x and x[x] = 14, what is the value of x ?

A. 3
B. 3.25
C. 3.35
D. 3.5
E. 3.75

Hey Bunuel, can you check if this question is correct. Because as I try to solve, even if x = 3.75, then according to the question [x] = 3; The max we can get is 3 * 3.75 = 11.25
Correct me if I am wrong !
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Bunuel
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Re: If [x] denotes the greatest integer less than or equal to x and x[x] = [#permalink] New post   25 May 2020, 21:18
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Gokul20 wrote:
Bunuel wrote:
If [x] denotes the greatest integer less than or equal to x and x[x] = 14, what is the value of x ?

A. 3
B. 3.25
C. 3.35
D. 3.5
E. 3.75

Hey Bunuel, can you check if this question is correct. Because as I try to solve, even if x = 3.75, then according to the question [x] = 3; The max we can get is 3 * 3.75 = 11.25
Correct me if I am wrong !

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It's x[x] = 10.5. Edited. Thank you.
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Re: If [x] denotes the greatest integer less than or equal to x and x[x] = [#permalink] New post   26 May 2020, 00:28
Just put options to find the answer as 3.5
x = 3.5, [x] = 3
Answer is D
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Re: If [x] denotes the greatest integer less than or equal to x and x[x] = [#permalink] New post   26 May 2020, 01:24
The answer is D.

x[x]= 10.5
So given the condition on [x], the only possible value of x is 3.5.

3*3.5=10.5

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Re: If [x] denotes the greatest integer less than or equal to x and x[x] = [#permalink] New post   23 Mar 2022, 00:19
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