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If [x] denotes the least integer greater than or equal to x
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Updated on: 26 May 2014, 02:22
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If [x] denotes the least integer greater than or equal to x and [x/2] = 0, which of the following could be the value of x? A. 2 B. 3/2 C. 1/2 D. 1 E. 2
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Originally posted by GeorgeA023 on 25 May 2014, 18:02.
Last edited by Bunuel on 26 May 2014, 02:22, edited 1 time in total.
Renamed the topic and edited the question.




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Re: If [x] denotes the least integer greater than or equal to x
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26 May 2014, 02:48
GeorgeA023 wrote: If [x] denotes the least integer greater than or equal to x and [x/2] = 0, which of the following could be the value of x?
A. 2 B. 3/2 C. 1/2 D. 1 E. 2 Some function [] rounds UP a number to the nearest integer. For example [1.5]=2, [2]=2, [1.5]=1, ... Hence, since [x/2] = 0, then it must be true that \(1<\frac{x}{2}\leq{0}\): any number from this range when rounded up gives 0. \(1<\frac{x}{2}\leq{0}\) > \(2<x\leq{0}\), Only option B is in this range. Answer: B. Similar questions to practice: ifdenotestheleastintegergreaterthanorequaltox132223.htmlifdenotesthegreatestintegerlessthanorequaltox94687.htmlforallnumberstlettbedefinedasthegreatest105416.htmlisxanoddinteger1x22x99856.htmlforallzdenotestheleastintegergreaterthanor110561.htmldenotestobetheleastintegernolessthanxis130841.htmlforallnumberstlettbedefinedasthegreatest105416.htmlifisthegreatestintegerlessthanorequaltoxwhat144277.htmlhowxbecomefractionifitsbeensaidaninteger94687.htmlawkwardds105416.htmlhelpdatasufficiencyequationandinequalities99856.htmlifdenotesthegreatestintegerlessthanorequaltox94687.htmldenotestobetheleastintegernolessthanxis130841.htmlisthegreatestintegerlessthanorequaltotherealn154006.htmlifdenotesthegreatestintegerlessthanorequaltoz162078.htmlifdenotestheleastintegergreaterthanorequaltox132223.htmlisthegreatestintegerlessthanorequaltotherealn154006.htmlforallzdenotestheleastintegergreaterthanorequ167640.htmlHope it helps.
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Re: If [x] denotes the least integer greater than or equal to x
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26 May 2014, 10:06
Bunuel
Thank you for the response. When I was taking the GMAT Prep test yesterday and this question appeared, I just could not figure out what it was asking.
Thank you for the explanation.



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Re: If [x] denotes the least integer greater than or equal to x
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05 Dec 2015, 11:32
Hi All, This is an example of a 'Symbolism' question  the prompt 'makes up' a math symbol, tells you what it means, then asks you to perform a calculation using it. When dealing with these types of symbols, it often helps to jot down a few examples, so that you understand the work that will be required of you when you deal with the actual question that is asked. Here, we're told that [X] is the LEAST INTEGER greater than or equal to X. Thus... [2] = 2 [.5] = 1 [1.5] = 1 Etc. When we're told that [X/2] = 0, this implies that whatever is inside the symbol is a limited range that is LESS THAN OR EQUAL TO 0.... For example: [0] = 0 [.5] = 0 [.9999] = 0 Etc. With this information, finding the value of X shouldn't be too hard...which answer will fit this pattern when you plug it into [X/2]? Final Answer: GMAT assassins aren't born, they're made, Rich
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If [x] denotes the least integer greater than or equal to x
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17 May 2016, 18:44
Attached is a visual that should help. A) \([ \frac{2}{1} ] = [ 1 ] = 1\) B) \([ \frac{3}{4} ] = 0\)
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Screen Shot 20160517 at 6.42.19 PM.png [ 148.14 KiB  Viewed 7328 times ]
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Re: If [x] denotes the least integer greater than or equal to x
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02 Oct 2017, 23:31
GeorgeA023 wrote: If [x] denotes the least integer greater than or equal to x and [x/2] = 0, which of the following could be the value of x?
A. 2 B. 3/2 C. 1/2 D. 1 E. 2 Since [x] denotes the least integer greater than or equal to x This means x = I , if x is an integer and x = I x = i+1, if x is not an integer and x = i + d where i is integral part of x and d i decimal part of x So [x/2] = 0 1 < x/2 < = 0 2 < x <= 0 Only 3/2 lies in between this range.. Answer B..
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If [x] denotes the least integer greater than or equal to x
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05 Oct 2017, 10:17
GeorgeA023 wrote: If [x] denotes the least integer greater than or equal to x and [x/2] = 0, which of the following could be the value of x?
A. 2 B. 3/2 C. 1/2 D. 1 E. 2 We are given that [x] denotes the least integer greater than or equal to x and [x/2] = 0. Let’s analyze each answer choice: A) 2 [2/2] = [1] This is not correct since the least integer greater than or equal to 1 is 1, which is not 0. B) 3/2 [(3/2)/2] = [3/4] This is correct since the least integer greater than or equal to 3/2 is 0. Answer: B
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If [x] denotes the least integer greater than or equal to x &nbs
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