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Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 8017
GMAT 1: 760 Q51 V42 GPA: 3.82
{x} is a smallest integer greater than or equal to x and [x] is a grea  [#permalink]

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Difficulty:   55% (hard)

Question Stats: 54% (01:38) correct 46% (01:26) wrong based on 41 sessions

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[GMAT math practice question]

(x) is the smallest integer greater than or equal to $$x$$ and $$[x]$$ is the greatest integer less than or equal to $$x$$. What is the value of $$[\frac{2.5}{(2.5)}]-(\frac{2.5}{[2.5]})$$?

A. -2
B. -1
C. 0
D. 1
E. 2

_________________

Originally posted by MathRevolution on 11 Apr 2019, 01:51.
Last edited by chetan2u on 11 Apr 2019, 03:53, edited 1 time in total.
formatted and corrected the Q
Math Expert V
Joined: 02 Aug 2009
Posts: 7981
Re: {x} is a smallest integer greater than or equal to x and [x] is a grea  [#permalink]

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MathRevolution wrote:
[GMAT math practice question]

(x) is the smallest integer greater than or equal to $$x$$ and $$[x]$$ is the greatest integer less than or equal to $$x$$. What is the value of $$[\frac{2.5}{(2.5)}]-(\frac{2.5}{[2.5]})$$?

A. -2
B. -1
C. 0
D. 1
E. 2

(x) is the smallest integer greater than or equal to $$x$$, so (2.5) = 3 ...
$$[x]$$ is the greatest integer less than or equal to $$x$$, so [2.5]=2..

$$[\frac{2.5}{(2.5)}]-(\frac{2.5}{[2.5]})$$.....$$[\frac{2.5}{3}]-(\frac{2.5}{2})$$.......[something between 0 and 1]-(something between 1 and 2) = 0-2=-2

Exact values.. .$$[\frac{2.5}{3}]-(\frac{2.5}{2})=[0.833]-(1.25)=0-2=-2$$....

A
_________________
Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 8017
GMAT 1: 760 Q51 V42 GPA: 3.82
Re: {x} is a smallest integer greater than or equal to x and [x] is a grea  [#permalink]

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MathRevolution wrote:
[GMAT math practice question]

(x) is the smallest integer greater than or equal to $$x$$ and $$[x]$$ is the greatest integer less than or equal to $$x$$. What is the value of $$[\frac{2.5}{(2.5)}]-(\frac{2.5}{[2.5]})$$?

A. -2
B. -1
C. 0
D. 1
E. 2

=>

$$[\frac{2.5}{2.5}]-{\frac{2.5}{[2.5]}}$$
$$=[\frac{2.5}{3}] – \frac{2.5}{2}$$
$$= 0 – 2$$
$$= -2$$

Therefore, the answer is A.
_________________ Re: {x} is a smallest integer greater than or equal to x and [x] is a grea   [#permalink] 14 Apr 2019, 18:38
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