Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 10 Jan 2013
Posts: 39
Concentration: Marketing, Strategy
GMAT 1: 640 Q42 V36 GMAT 2: 680 Q47 V36
WE: Marketing (Transportation)

If [x] denotes the least integer greater than or equal to x [#permalink]
Show Tags
Updated on: 26 May 2014, 02:22
3
This post received KUDOS
26
This post was BOOKMARKED
Question Stats:
61% (00:52) correct 39% (00:49) wrong based on 517 sessions
HideShow timer Statistics
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
Official Answer and Stats are available only to registered users. Register/ Login.
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.



Math Expert
Joined: 02 Sep 2009
Posts: 44596

Re: If [x] denotes the least integer greater than or equal to x [#permalink]
Show Tags
26 May 2014, 02:48
8
This post received KUDOS
Expert's post
9
This post was BOOKMARKED
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.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Intern
Joined: 10 Jan 2013
Posts: 39
Concentration: Marketing, Strategy
GMAT 1: 640 Q42 V36 GMAT 2: 680 Q47 V36
WE: Marketing (Transportation)

Re: If [x] denotes the least integer greater than or equal to x [#permalink]
Show Tags
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.



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 11492
Location: United States (CA)
GRE 1: 340 Q170 V170

Re: If [x] denotes the least integer greater than or equal to x [#permalink]
Show Tags
05 Dec 2015, 11:32
1
This post received KUDOS
Expert's post
2
This post was BOOKMARKED
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
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com
Rich Cohen
CoFounder & GMAT Assassin
Special Offer: Save $75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/
***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************



Director
Status: Professional GMAT Tutor
Affiliations: AB, cum laude, Harvard University (Class of '02)
Joined: 10 Jul 2015
Posts: 595
Location: United States (CA)
Age: 38
GMAT 1: 770 Q47 V48 GMAT 2: 730 Q44 V47 GMAT 3: 750 Q50 V42
GRE 1: 337 Q168 V169
WE: Education (Education)

If [x] denotes the least integer greater than or equal to x [#permalink]
Show Tags
17 May 2016, 18:44
Attached is a visual that should help. A) \([ \frac{2}{1} ] = [ 1 ] = 1\) B) \([ \frac{3}{4} ] = 0\)
Attachments
Screen Shot 20160517 at 6.42.19 PM.png [ 148.14 KiB  Viewed 5973 times ]
_________________
Harvard grad and 99% GMAT scorer, offering expert, private GMAT tutoring and coaching, both inperson (San Diego, CA, USA) and online worldwide, since 2002.
One of the only known humans to have taken the GMAT 5 times and scored in the 700s every time (700, 710, 730, 750, 770), including verified section scores of Q50 / V47, as well as personal bests of 8/8 IR (2 times), 6/6 AWA (4 times), 50/51Q and 48/51V (1 question wrong).
You can download my official testtaker score report (all scores within the last 5 years) directly from the Pearson Vue website: https://tinyurl.com/y8zh6qby Date of Birth: 09 December 1979.
GMAT Action Plan  McElroy Tutoring



Director
Joined: 13 Mar 2017
Posts: 590
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)

Re: If [x] denotes the least integer greater than or equal to x [#permalink]
Show Tags
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..
_________________
CAT 99th percentiler : VA 97.27  DILR 96.84  QA 98.04  OA 98.95 UPSC Aspirants : Get my app UPSC Important News Reader from Play store.
MBA Social Network : WebMaggu
Appreciate by Clicking +1 Kudos ( Lets be more generous friends.) What I believe is : "Nothing is Impossible, Even Impossible says I'm Possible" : "Stay Hungry, Stay Foolish".



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2447
Location: United States (CA)

If [x] denotes the least integer greater than or equal to x [#permalink]
Show Tags
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
_________________
Scott WoodburyStewart
Founder and CEO
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions




If [x] denotes the least integer greater than or equal to x
[#permalink]
05 Oct 2017, 10:17






