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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
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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Updated on: 11 Apr 2019, 03:53
00:00

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

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" 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 Joined: 02 Aug 2009 Posts: 7981 Re: {x} is a smallest integer greater than or equal to x and [x] is a grea [#permalink] ### Show Tags 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 _________________ Math Revolution GMAT Instructor 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] ### Show Tags 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 _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$79 for 1 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"
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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