Sep 19 12:00 PM PDT  10:00 PM PDT On Demand $79, For a score of 4951 (from current actual score of 40+) AllInOne Standard & 700+ Level Questions (150 questions) Sep 19 08:00 PM EDT  09:00 PM EDT Strategies and techniques for approaching featured GMAT topics. One hour of live, online instruction. Sep 19 10:00 PM PDT  11:00 PM PDT Join a FREE 1day Data Sufficiency & Critical Reasoning workshop and learn the best strategies to tackle the two trickiest question types in the GMAT! Sep 21 07:00 AM PDT  09:00 AM PDT Learn reading strategies that can help even nonvoracious reader to master GMAT RC Sep 22 08:00 PM PDT  09:00 PM PDT Exclusive offer! Get 400+ Practice Questions, 25 Video lessons and 6+ Webinars for FREE Sep 23 08:00 AM PDT  09:00 AM PDT Join a free 1hour webinar and learn how to create the ultimate study plan, and be accepted to the upcoming Round 2 deadlines. Save your spot today! Monday, September 23rd at 8 AM PST
Author 
Message 
TAGS:

Hide Tags

Senior Manager
Joined: 03 Mar 2010
Posts: 359

The number line shown contains three points R, S, and T, whose coordin
[#permalink]
Show Tags
Updated on: 18 Sep 2015, 08:55
Question Stats:
71% (00:54) correct 29% (00:59) wrong based on 2049 sessions
HideShow timer Statistics
The number line shown contains three points R, S, and T, whose coordinates have absolute values r, s, and t, respectively. Which of the following equals the average (arithmetic mean) of the coordinates of the points R, S, and T ? A. s B. s + t  r C. (r  s  t)/3 D. (r + s + t)/3 E. (s + t  r)/3 Attachment:
20150918_1954.png [ 5.82 KiB  Viewed 31632 times ]
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
My dad once said to me: Son, nothing succeeds like success.
Originally posted by jamifahad on 01 May 2011, 02:51.
Last edited by Bunuel on 18 Sep 2015, 08:55, edited 1 time in total.
Renamed the topic, edited the question and added the OA.




Math Expert
Joined: 02 Sep 2009
Posts: 58113

Re: The number line shown contains three points R, S, and T, whose coordin
[#permalink]
Show Tags
18 Oct 2015, 09:59
mrai87 wrote: The number line shown contains three points R, S, and T, whose coordinates have absolute values r, s, and t, respectively. Which of the following equals the average (arithmetic mean) of the coordinates of the points R, S, and T ? A. s B. s + t  r C. (r  s  t)/3 D. (r + s + t)/3 E. (s + t  r)/3 Hi, I would also like to clarify this solution. If r is the absolute value of R and R is R then why is the coordinate r? If it is an absolute value it cannot be a negative number. Please explain? Say R = 3, S = 1 and T = 2. In this case r = 3 = 3, s = 1, and t = 2. The average of the coordinates of the points R, S, and T would be (2 + 1 + (3))/3 so, (s + t  r)/3.
_________________




Senior Manager
Joined: 10 Mar 2013
Posts: 473
Location: Germany
Concentration: Finance, Entrepreneurship
GPA: 3.88
WE: Information Technology (Consulting)

Re: The number line shown contains three points R, S, and T, whose coordin
[#permalink]
Show Tags
18 Sep 2015, 01:20
I don't really get the logic here. The absolute value of any number is > 0. r is a negative number on the line Ir I = r. The only explanation for this solution I see is that, the absolute value of r is >0, but the value of r is negative (within the absolute brackets), and in the calculation of average we are using r and not an absolute value of r please correct if I'm wrong.
_________________
When you’re up, your friends know who you are. When you’re down, you know who your friends are.
Share some Kudos, if my posts help you. Thank you !
800Score ONLY QUANT CAT1 51, CAT2 50, CAT3 50 GMAT PREP 670 MGMAT CAT 630 KAPLAN CAT 660




Director
Status: There is always something new !!
Affiliations: PMI,QAI Global,eXampleCG
Joined: 08 May 2009
Posts: 907

Re: The number line shown contains three points R, S, and T, whose coordin
[#permalink]
Show Tags
01 May 2011, 03:18
As R is to the right of the origin,essentially it has negative value. therefore arithmetic mean = (s+tr)/3 will be the right expression as S and T are positive numbers. Hence E.



Retired Moderator
Joined: 02 Sep 2010
Posts: 737
Location: London

Re: The number line shown contains three points R, S, and T, whose coordin
[#permalink]
Show Tags
01 May 2011, 04:34
The arithmetic mean of three numbers x y z is (x+y+z)/3 In this case we know that the numbers are s, t, r (since r is the absolute value of a negative number ... and s,t are the absolute values of positive numbers) Hence mean is (s+tr)/3 Posted from my mobile device
_________________



Senior Manager
Joined: 03 Mar 2010
Posts: 359

Re: The number line shown contains three points R, S, and T, whose coordin
[#permalink]
Show Tags
01 May 2011, 04:51
shrouded1 wrote: In this case we know that the numbers are s, t, r (since r is the absolute value of a negative number \(r = r when r > 0\) \(= r when r < 0\) and since r < 0, it should be r Am i correct?
_________________
My dad once said to me: Son, nothing succeeds like success.



Manager
Joined: 29 Jul 2015
Posts: 155

Re: The number line shown contains three points R, S, and T, whose coordin
[#permalink]
Show Tags
18 Sep 2015, 11:49
BrainLab wrote: I don't really get the logic here. The absolute value of any number is > 0. r is a negative number on the line Ir I = r. The only explanation for this solution I see is that, the absolute value of r is >0, but the value of r is negative (within the absolute brackets), and in the calculation of average we are using r and not an absolute value of r please correct if I'm wrong. I was wondering the same thing. I marked D as answer taking absolute values. Need some explanation here.



Intern
Joined: 05 Jul 2013
Posts: 14
GPA: 3

Re: The number line shown contains three points R, S, and T, whose coordin
[#permalink]
Show Tags
30 Sep 2015, 01:03
I am wondering the same thing ...otherwise why would the question mention absolute values if you want us to take the sign of the number into consideration. Absolute values meaning all are positive. And it asks what is the average of the coordinates and the coordinates are given to be absolute values.
Would be grateful if someone can shed some light on this. Thnx



Intern
Joined: 09 Sep 2015
Posts: 1

Re: The number line shown contains three points R, S, and T, whose coordin
[#permalink]
Show Tags
17 Oct 2015, 02:43
Hi, I would also like to clarify this solution. If r is the absolute value of R and R is R then why is the coordinate r? If it is an absolute value it cannot be a negative number. Please explain?



Manager
Joined: 31 Dec 2016
Posts: 68

The number line shown contains three points R, S, and T, whose coordin
[#permalink]
Show Tags
31 Dec 2016, 09:41
I didn't find the answers above very helpful and they were all confusing. Hopefully this one is less so.
Here is an answer which to me makes more sense. We are shown a number line. An absolute value can never be negative on a number line unless the negative is outside the brackets. Therefore if R is shown as 3 on the number line it would be shown as [3] and if R is +3 then it would be shown as [3]. In either case the negative outside the bracket will move it into the negative position on the number line. Therefore all the Math is S + T  +R which is (S+TR)/ 3. So the absolute value of R is positive but because it's shown on a number line it has to have a negative infront of it. Had the Question simply asked the absolute Value of [3] +[2] +[2] the answer would be (3+22) /3 but since it showed us the numbers on the number line we can conclude the number are something like [3] + [2] + [2]



Senior Manager
Joined: 24 Nov 2016
Posts: 442
Location: United States

Re: The number line shown contains three points R, S, and T, whose coordin
[#permalink]
Show Tags
31 Mar 2017, 04:55
SamBoyle wrote: I didn't find the answers above very helpful and they were all confusing. Hopefully this one is less so.
Here is an answer which to me makes more sense. We are shown a number line. An absolute value can never be negative on a number line unless the negative is outside the brackets. Therefore if R is shown as 3 on the number line it would be shown as [3] and if R is +3 then it would be shown as [3]. In either case the negative outside the bracket will move it into the negative position on the number line. Therefore all the Math is S + T  +R which is (S+TR)/ 3. So the absolute value of R is positive but because it's shown on a number line it has to have a negative infront of it. Had the Question simply asked the absolute Value of [3] +[2] +[2] the answer would be (3+22) /3 but since it showed us the numbers on the number line we can conclude the number are something like [3] + [2] + [2] Hi Sam, The question is asking for you to find the average of "r, s and t" that matches the average of "R, S and T." (i) If RST = [4, 1, 2], the average equals (4+1+2)/3 = 1/3; (ii) Then, rst = [4, 1, 2] and the only answer matching the average of RST is "(E) s+tr/3" = (1+24)/3 = 1/3" Rgds



Intern
Joined: 03 Oct 2016
Posts: 1

Re: The number line shown contains three points R, S, and T, whose coordin
[#permalink]
Show Tags
26 Apr 2017, 09:43
I am still confused about this absolute value still being negative in the end. If the question had been exactly the same but without mentionning absolute values: Quote: whose coordinates have values r, s, and t instead of Quote: whose coordinates have absolute values r, s, and t Would the result be the same ?



Intern
Joined: 18 May 2017
Posts: 13
WE: Corporate Finance (Health Care)

Re: The number line shown contains three points R, S, and T, whose coordin
[#permalink]
Show Tags
23 May 2017, 11:06
This question is kind of Deceptive . you can still have (+(R)+S+T)/3 to make D correct . E could also be rationalized like (S+T(+R))/3 . This is why I hate the GMAT . We are arguing semantics/Syntax . Unless I am just dumb and don't comprehend.



Intern
Joined: 28 Dec 2010
Posts: 22

The number line shown contains three points R, S, and T, whose coordin
[#permalink]
Show Tags
Updated on: 24 Jul 2017, 12:18
According to the question  "coordinates have absolute values r, s, and t" > which implies the distance of R, S & T from the origin "zero" is given i.e. the magnitude. Since x = (x) for x < 0 and x = (x) for x>=0. example: consider R = 4, S=2, t=3 based on the question we are given, absolute value of R > r = (4) = 4 we are given, absolute value of S > s = (2) = 3 we are given, absolute value of T > t = (3) = 3 Now, the question is asking for a mean of all these coordinates. Since the points are distributed across origin 0. In order to calculate the mean we will have to add the coordinates then divide by the number of coordinates. As the coordinate R is on the ve side of origin we will have to use a ve sign i.e. r Thus, the answer will be (s+tr)/3 Note: Assuming if we are not given the absolute value information we can calculate the mean of the coordinates based on the placement of the coordinates on the number line, the only caveat being that the coordinates should be clearly mentioned w.r.t to the origin on the number line.
Attachments
absolute_value.JPG [ 16.74 KiB  Viewed 20148 times ]
Originally posted by gary391 on 23 Jul 2017, 17:49.
Last edited by gary391 on 24 Jul 2017, 12:18, edited 6 times in total.



Senior SC Moderator
Joined: 22 May 2016
Posts: 3417

The number line shown contains three points R, S, and T, whose coordin
[#permalink]
Show Tags
24 Jul 2017, 07:16
NanaA wrote: This question is kind of Deceptive . you can still have (+(R)+S+T)/3 to make D correct . E could also be rationalized like (S+T(+R))/3 . This is why I hate the GMAT . We are arguing semantics/Syntax . Unless I am just dumb and don't comprehend. You certainly are not dumb; your intelligence led you to see that the way absolute value is often taught and the way it shows up here seem incongruent. I'll avoid the semantics / syntax categorization, except to say that, overly simplified, the issue is what "absolute value" denotes. In this case, we have a negative variable, \(r\). It might help to memorize this rule: If r is negative, i.e. if \(r < 0,\) then \(r = r\) The expression on the RHS (\(r\)) is not negative. It is positive. It is the negative (opposite) of a negative value: \((5) = 5\) Another way to see it; if x is a negative number x = x = (1)(a negative number) = a positive number 3 = (3) = (1)(the negative number 3) = 3 For this problem, I assigned values to the variables and calculated the mean with numbers that had both the intuitively correct signs, and, given the rule, the mathematically correct signs. (1 + 2 + 5)/3 = mean of 2. Only Answer E gives that result. A great post that might help: Bunuel ,Absolute Value, Tips and Tricks,here.These sites might also help. Scroll a long way for a discussion of absolute value and negative numbers, here, and here.Hope this helps.
_________________
SC Butler has resumed! Get two SC questions to practice, whose links you can find by date, here.There are only two ways to live your life: as though nothing is a miracle, or as though everything is a miracle.  Einstein



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 7753
Location: United States (CA)

Re: The number line shown contains three points R, S, and T, whose coordin
[#permalink]
Show Tags
26 Jul 2017, 16:42
jamifahad wrote: The number line shown contains three points R, S, and T, whose coordinates have absolute values r, s, and t, respectively. Which of the following equals the average (arithmetic mean) of the coordinates of the points R, S, and T ? A. s B. s + t  r C. (r  s  t)/3 D. (r + s + t)/3 E. (s + t  r)/3 We can let R, S, and T be the actual values. Thus, we want to determine the value of (R + S + T)/3. Since S and T are positive, S = s and T = t. However, since R is negative, R = r. Thus, the average becomes: (r + s + t)/3 (s + t  r)/3 Answer: E
_________________
5star rated online GMAT quant self study course See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews If you find one of my posts helpful, please take a moment to click on the "Kudos" button.



Manager
Status: IF YOU CAN DREAM IT, YOU CAN DO IT
Joined: 03 Jul 2017
Posts: 187
Location: India
Concentration: Finance, International Business

Re: The number line shown contains three points R, S, and T, whose coordin
[#permalink]
Show Tags
01 Aug 2017, 05:27
Here in this question if the question would ask the average of r,s,t then the average would be r+s+t/3 because r is the absolute value?? Am i correct



Manager
Joined: 10 Sep 2014
Posts: 78
Location: Bangladesh
GPA: 3.5
WE: Project Management (Manufacturing)

Re: The number line shown contains three points R, S, and T, whose coordin
[#permalink]
Show Tags
18 Apr 2018, 03:17
If I take R=l3l and s=1, R=2, the average is (3+2+1)/3= 2 as r (coordinates have absolute values r, s, and t,) and from D I can find the required answer which is D. I am wrong but don't know why. Could you please explain how this portion "whose coordinates have absolute values r, s, and t, respectively." is affecting the question and what does it mean? Thanks Bunuel VeritasPrepKarishma chetan2u



Manager
Status: IF YOU CAN DREAM IT, YOU CAN DO IT
Joined: 03 Jul 2017
Posts: 187
Location: India
Concentration: Finance, International Business

Re: The number line shown contains three points R, S, and T, whose coordin
[#permalink]
Show Tags
08 May 2018, 00:25
can someone help me with this question. We are asked to calculate the average of the coordinates of the points R , S and T and that they are all positive since we are given that the absolute values of the co ordinates are given . Then how is it possible to consider the negative value of R ??



Senior SC Moderator
Joined: 22 May 2016
Posts: 3417

The number line shown contains three points R, S, and T, whose coordin
[#permalink]
Show Tags
08 May 2018, 08:59
longhaul123 wrote: can someone help me with this question. We are asked to calculate the average of the coordinates of the points R , S and T and that they are all positive since we are given that the absolute values of the co ordinates are given . Then how is it possible to consider the negative value of R ?? longhaul123 , posts above explain. In addition, my post has three links that explain. Please read them.
_________________
SC Butler has resumed! Get two SC questions to practice, whose links you can find by date, here.There are only two ways to live your life: as though nothing is a miracle, or as though everything is a miracle.  Einstein




The number line shown contains three points R, S, and T, whose coordin
[#permalink]
08 May 2018, 08:59



Go to page
1 2
Next
[ 25 posts ]



