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{x} is a smallest integer greater than or equal to x and [x] is a grea

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Math Revolution GMAT Instructor
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New post Updated on: 11 Apr 2019, 03:53
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Difficulty:

  55% (hard)

Question Stats:

48% (01:34) correct 52% (01:26) wrong based on 27 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

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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
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Re: {x} is a smallest integer greater than or equal to x and [x] is a grea  [#permalink]

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New post 11 Apr 2019, 03:58
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
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Re: {x} is a smallest integer greater than or equal to x and [x] is a grea  [#permalink]

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New post 14 Apr 2019, 18:38
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.
Answer: A
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The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
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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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