Oct 16 08:00 PM PDT  09:00 PM PDT EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299) Oct 18 08:00 AM PDT  09:00 AM PDT Learn an intuitive, systematic approach that will maximize your success on Fillintheblank GMAT CR Questions. Oct 19 07:00 AM PDT  09:00 AM PDT Does GMAT RC seem like an uphill battle? eGMAT is conducting a free webinar to help you learn reading strategies that can enable you to solve 700+ level RC questions with at least 90% accuracy in less than 10 days. Sat., Oct 19th at 7 am PDT Oct 20 07:00 AM PDT  09:00 AM PDT Get personalized insights on how to achieve your Target Quant Score. Oct 22 08:00 PM PDT  09:00 PM PDT On Demand for $79. For a score of 4951 (from current actual score of 40+) AllInOne Standard & 700+ Level Questions (150 questions)
Author 
Message 
TAGS:

Hide Tags

Manager
Status: Applying Now
Joined: 21 Nov 2009
Posts: 53
WE: Project Management (Manufacturing)

If m and r are two numbers on a number line, what is the value of r?
[#permalink]
Show Tags
18 Dec 2009, 15:27
Question Stats:
44% (02:11) correct 56% (01:57) wrong based on 897 sessions
HideShow timer Statistics
If m and r are two numbers on a number line, what is the value of r? (1) The distance between r and 0 is 3 times the distance between m and 0. (2) 12 is halfway between m and r.
Official Answer and Stats are available only to registered users. Register/ Login.
_________________




Math Expert
Joined: 02 Sep 2009
Posts: 58378

Re: If m and r are two numbers on a number line, what is the value of r?
[#permalink]
Show Tags
18 Dec 2009, 17:49
TIP:On the GMAT we can often see such statement: \(k\) is halfway between \(m\) and \(n\) on the number line. Remember this statement can ALWAYS be expressed as: \(\frac{m+n}{2}=k\). Also on the GMAT when we see the distance between x and y, this can be expressed as \(xy\). BACK TO THE QUESTION.If m and r are two numbers on a number line, what is the value of r?(1) The distance between r and zero is 3 times the distance between m and zero > \(r0=3m0\) > \(r=3m\) > \(r=3m\) OR \(r=3m\). Clearly insufficient. (2) 12 is halfway between m and r > \(\frac{r+m}{2}=12\) > \(r+m=24\). Clearly insufficient. (1)+(2) \(r=3m\) OR \(r=3m\) and \(r+m=24\). \(r=3m\) > \(r+m=3m+m=24\) > \(m=6\) and \(r=18\) OR \(r=3m\) > \(r+m=3m+m=24\) > \(m=12\) and \(r=36\) Two different values for \(r\). Not sufficient. Answer: E.
_________________




Math Expert
Joined: 02 Sep 2009
Posts: 58378

Re: If m and r are two numbers on a number line, what is the value of r?
[#permalink]
Show Tags
19 Dec 2009, 04:04
xcusemeplz2009 wrote: bth the statments are not suff...
s1) let m0=x, then r0=3x ( x can be 1,2,3,4,......anything)...not suff s2) m12=12r or r12=12m....(can have any value)...not suff
s1)+s2)if m12=1,2,3,4,5.... then 12r=3,6,9,12,15...any thing same for r12...hence from bth also we are not getting any particular value so E The answer is correct, but there is some problems in solution: (1) When you write: m=x and r=3x, it's not right: if m=x, then r=3x OR r=3x, as r=3m. (2) You wrote: m12=12r or r12=12m. If you look at it you'll see that these two equations are the same and derived from \(\frac{m+r}{2}=12\). Again: Statement: distance between r and x, is three times the distance between m and x can be expressed as \(rx=3mx\). Statement: \(k\) is halfway between \(m\) and \(r\) on the number line can be expressed as: \(\frac{m+r}{2}=k\).
_________________



Manager
Joined: 09 May 2009
Posts: 162

Re: If m and r are two numbers on a number line, what is the value of r?
[#permalink]
Show Tags
20 Dec 2009, 05:28
Bunuel wrote: xcusemeplz2009 wrote: bth the statments are not suff...
s1) let m0=x, then r0=3x ( x can be 1,2,3,4,......anything)...not suff s2) m12=12r or r12=12m....(can have any value)...not suff
s1)+s2)if m12=1,2,3,4,5.... then 12r=3,6,9,12,15...any thing same for r12...hence from bth also we are not getting any particular value so E The answer is correct, but there is some problems in solution: (1) When you write: m=x and r=3x, it's not right: if m=x, then r=3x OR r=3x, as r=3m. (2) You wrote: m12=12r or r12=12m. If you look at it you'll see that these two equations are the same and derived from \(\frac{m+r}{2}=12\). Again: Statement: distance between r and x, is three times the distance between m and x can be expressed as \(rx=3mx\). Statement: \(k\) is halfway between \(m\) and \(r\) on the number line can be expressed as: \(\frac{m+r}{2}=k\). thanks bunuel i cud not express it in a correct manner , but my intention was same since i tried on no. line and i got it in a easier way ,however cudn't express that in my post(appologies for that), on a no. line it was clear that the position of m and r is not fix with bth the given information hence insuff....
_________________
GMAT is not a game for losers , and the moment u decide to appear for it u are no more a loser........ITS A BRAIN GAME



Senior Manager
Joined: 22 Dec 2009
Posts: 253

Re: If m and r are two numbers on a number line, what is the value of r?
[#permalink]
Show Tags
07 Jan 2010, 12:49
IMO ... E.. Question: wat is r? ST1: The distance between r and 0 is 3 times the distance between m and 0 Since the statement has the term 'distance' in it, it signifies that we are not consider the ve or +ve possibility of the number position. Hence ST1 can be written algebrically as: r0 = 3m0 > r = 3m Clearly NOT SUFF as m could be anything and even if m is constant, r could be 3m or 3m ST2: 12 is halfway between m & r is clearly NOT SUFF as the same is true for (m=11,r = 13) , (m=10,r = 14).... Both ST1 and ST2 together would give us: m = 6 and r = 18, m=12 & r = 36 ...etc..Hence NOT SUFF.... OA as D.... ... Not sure..
_________________
Cheers! JT........... If u like my post..... payback in Kudos!!  Do not post questions with OAPlease underline your SC questions while postingTry posting the explanation along with your answer choice For CR refer Powerscore CR BibleFor SC refer Manhattan SC Guide ~~Better Burn Out... Than Fade Away~~



Retired Moderator
Joined: 20 Dec 2010
Posts: 1584

Re: If m and r are two numbers on a number line, what is the value of r?
[#permalink]
Show Tags
23 Mar 2011, 06:05
nikhilsrl wrote: If m and r are two numbers on a number line, what is the value of r? 1) The distance between r and 0 is 3 times the distance between m and 0. 2) 12 is halfway between m and r. OA is provided. I somehow remembered the answer for this question. Try m=6 and r=18. r=3m and 12 is midway OR m=12 and r=36; r=3*m and 12 is midway I don't remember any algebraic solution for this, but it would be great. Ans: "E"
_________________



Intern
Joined: 04 Aug 2010
Posts: 1

Re: If m and r are two numbers on a number line, what is the value of r?
[#permalink]
Show Tags
25 Mar 2011, 11:05
nikhilsrl wrote: If m and r are two numbers on a number line, what is the value of r? 1) The distance between r and 0 is 3 times the distance between m and 0. 2) 12 is halfway between m and r.
I used the number line and tested two cases. Case 1. Assume m is negative and r is positive, each dashed segments  is 1x m  0    r m = x r = 3x (3 times the distance between m and 0) If 12 is the midpoint, the graph becomes: m  0  12   r That means x = 12 and m = 12 and r = 36 Case 2. Assume both m and r are positive 0  m   r m = x r = 3x Add 12 as the mid point: 0  m  12  r Therefore m = 6 and r = 18 This shows that even if you combine the 2 statements, you still can't get a unique answer. Therefore the answer should be E.



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9705
Location: Pune, India

Re: If m and r are two numbers on a number line, what is the value of r?
[#permalink]
Show Tags
10 Nov 2011, 03:39
SwapnilRanadive wrote: Another DS good example
If m and r are two numbers on number line, what is the value of r? 1) The distance between r and 0 is 3 times the distance between m and 0 2) 12 is halfway between m and r *Edited the question. It should be r instead of n. Stmnt 1 alone: Too many values possible. Say r = 3, m = 1 OR r= 6, m = 2 etc Stmnt 2 alone: Again too many values possible. Think 12 is in the middle. m and r are equidistant from it so m = 11, r = 13 OR m = 10, r = 14 etc Both together: Focus on the logic behind it. You don't need to do any calculations. We are looking for two values equidistant from 12. Let's say both m and r are at 12 initially. Their distance from 0 is the same i.e. 12 at this point. As they both start moving away from 12 simultaneously, the distance of m from 0 is reducing and that of r from 0 is increasing. There will be point when the distance of m from 0 will be a third of the distance of r from 0. This will be our first pair (shown in blue). Let's say they keep moving. m will finally reach 0 when its distance from 0 is 0 while r will be at 24. Then m will move in the negative range and its distance from 0 will start increasing. Distance of r from 0 is continuing to increase. There will be a point again when distance of m from 0 is a third of the distance of r from 0 (shown in red). Attachment:
Ques4.jpg [ 7.07 KiB  Viewed 7588 times ]
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >



Manager
Joined: 23 Oct 2011
Posts: 83

Re: If m and r are two numbers on a number line, what is the value of r?
[#permalink]
Show Tags
16 Nov 2011, 07:27
VeritasPrepKarishma wrote: SwapnilRanadive wrote: Another DS good example
If m and r are two numbers on number line, what is the value of r? 1) The distance between r and 0 is 3 times the distance between m and 0 2) 12 is halfway between m and r *Edited the question. It should be r instead of n. \(ab=c\) > Distance of \(a\) from \(b\) equals \(c\) Question: r=? Statement 1:\(r0=3*m0\) > \(r=3*m\) or \(r=3*m\), \(r\) depends on \(m\), and since we don't know \(m\), Insufficient.Statement 2:Number line is like a set with consecutive numbers. Since this set is an evenly spaced set we know that median=average. Because 12 is halfway of \(m\) and \(r\) : \(12=\frac{m+r}{2}\) > \(m+r=24\), Insufficient.Statement 1+2:\(r=3*m\) > \(r=3*(24r)\) > \(r=18\) \(r=3*m\) > \(r=3*(24r)\) > \(r=36\) Therefore Insufficient and the correct answer is E.



Manager
Joined: 30 Aug 2009
Posts: 227
Location: India
Concentration: General Management

Re: If m and r are two numbers on a number line, what is the value of r?
[#permalink]
Show Tags
04 Jan 2012, 06:33
Janealams wrote: Can somebody explain this to me please. stmnt1: let m = 4 then r = 12 let m = 6 then r = 18 Hence insuff stmnt2: We can have different combinations for this as well m= 10 and r = 14 m = 6 and r = 18 Hence insuff taking together when m = 6 then r = 18 and 12 is halfway between m and r also for m = 12 r = +36, 12 is halfway of m and r and r = 3 times the distance from 0 and m (distance is +ve value)



Intern
Joined: 28 Dec 2011
Posts: 31

Re: If m and r are two numbers on a number line, what is the value of r?
[#permalink]
Show Tags
29 Jan 2012, 11:00
Algebraically this can be solved as a system of two equations
r = 3m
\(\frac{m+r}{2}=12\)
1) m=6; r=18 2) m=12; r=36
Not sufficient, so the answer is E



GMAT Tutor
Status: Tutor  BrushMyQuant
Joined: 05 Apr 2011
Posts: 622
Location: India
Concentration: Finance, Marketing
GPA: 3
WE: Information Technology (Computer Software)

Re: If m and r are two numbers on a number line, what is the value of r?
[#permalink]
Show Tags
04 Mar 2013, 02:10
arjtryarjtry wrote: If m and r are two numbers on a number line, what is the value of r?
(1) The distance between r and 0 is 3 times the distance between m and 0. (2) 12 is halfway between m and r STAT1. Firstly, we dont know the value of m. So r being 3times m will not help.Also, r can be positive or negative so we are not sure about the value of r. So, INSUFFICIENT STAT2. 12 is halfway between m and r. Now. There are four cases. 1. Both m and r are positive. 2. Both m and r are negative 3. m is positive and r is negative 4. m is negative and r is positive So, NOT SUFFICIENT Taking both together: Still all the four cases mentioned in statement 2 are possible. So NOT SUFFICIENT. Answer will be E Hope it helps!
_________________



Intern
Joined: 13 Apr 2014
Posts: 11

Re: If m and r are two numbers on a number line, what is the value of r?
[#permalink]
Show Tags
16 Apr 2014, 07:45
TIP: On the GMAT we can often see such statement: k is halfway between m and n on the number line. Remember this statement can ALWAYS be expressed as: \frac{m+n}{2}=k. Also on the GMAT when we see the distance between x and y, this can be expressed as xy. Back to the question: If m and r are two numbers on a number line, what is the value of r? (1) The distance between r and zero is 3 times the distance between m and zero > r0=3m0 > r=3m > r=3m OR r=3m. Clearly insufficient. (2) 12 is halfway between m and r > \frac{r+m}{2}=12 > r+m=24. Clearly insufficient. (1)+(2) r=3m OR r=3m and r+m=24. r=3m > r+m=3m+m=24 > m=6 and r=18 OR r=3m > r+m=3m+m=24 > m=12 and r=36 Two different values for r. Not sufficient. Answer: E. tnx lot for this
_________________
http://www.gmatacademy.ir best for iranian



Manager
Joined: 10 Mar 2013
Posts: 168
GMAT 1: 620 Q44 V31 GMAT 2: 690 Q47 V37 GMAT 3: 610 Q47 V28 GMAT 4: 700 Q50 V34 GMAT 5: 700 Q49 V36 GMAT 6: 690 Q48 V35 GMAT 7: 750 Q49 V42 GMAT 8: 730 Q50 V39

Re: If m and r are two numbers on a number line, what is the value of r?
[#permalink]
Show Tags
27 Apr 2014, 20:28
Bunuel wrote: TIP: On the GMAT we can often see such statement: \(k\) is halfway between \(m\) and \(n\) on the number line. Remember this statement can ALWAYS be expressed as:
\(\frac{m+n}{2}=k\).
Also on the GMAT when we see the distance between x and y, this can be expressed as \(xy\).
Back to the question: If m and r are two numbers on a number line, what is the value of r?
(1) The distance between r and zero is 3 times the distance between m and zero > \(r0=3m0\) > \(r=3m\) > \(r=3m\) OR \(r=3m\). Clearly insufficient.
(2) 12 is halfway between m and r > \(\frac{r+m}{2}=12\) > \(r+m=24\). Clearly insufficient.
(1)+(2) \(r=3m\) OR \(r=3m\) and \(r+m=24\).
\(r=3m\) > \(r+m=3m+m=24\) > \(m=6\) and \(r=18\) OR \(r=3m\) > \(r+m=3m+m=24\) > \(m=12\) and \(r=36\)
Two different values for \(r\). Not sufficient.
Answer: E. Bunuel, can you explain how \(r=3m\) > \(r=3m\) OR \(r=3m\)?



Math Expert
Joined: 02 Sep 2009
Posts: 58378

Re: If m and r are two numbers on a number line, what is the value of r?
[#permalink]
Show Tags
28 Apr 2014, 03:24
TooLong150 wrote: Bunuel wrote: TIP: On the GMAT we can often see such statement: \(k\) is halfway between \(m\) and \(n\) on the number line. Remember this statement can ALWAYS be expressed as:
\(\frac{m+n}{2}=k\).
Also on the GMAT when we see the distance between x and y, this can be expressed as \(xy\).
Back to the question: If m and r are two numbers on a number line, what is the value of r?
(1) The distance between r and zero is 3 times the distance between m and zero > \(r0=3m0\) > \(r=3m\) > \(r=3m\) OR \(r=3m\). Clearly insufficient.
(2) 12 is halfway between m and r > \(\frac{r+m}{2}=12\) > \(r+m=24\). Clearly insufficient.
(1)+(2) \(r=3m\) OR \(r=3m\) and \(r+m=24\).
\(r=3m\) > \(r+m=3m+m=24\) > \(m=6\) and \(r=18\) OR \(r=3m\) > \(r+m=3m+m=24\) > \(m=12\) and \(r=36\)
Two different values for \(r\). Not sufficient.
Answer: E. Bunuel, can you explain how \(r=3m\) > \(r=3m\) OR \(r=3m\)? \(r=3m\) means that the distance from r to 0 is thrice the distance from m to 0: 0mr rm0 m0r r0m If r and m have the same sign (cases A and B), then r=3m but if r and m have different signs (cases C and D), then r=3m. Hope it's clear.
_________________



Intern
Joined: 07 Mar 2016
Posts: 4

Re: If m and r are two numbers on a number line, what is the value of r?
[#permalink]
Show Tags
07 Mar 2016, 12:21
1) m=6; r=18 2) m=12; r=36
Not sufficient,
E



NonHuman User
Joined: 09 Sep 2013
Posts: 13200

Re: If m and r are two numbers on th enumber line, what is the
[#permalink]
Show Tags
02 Oct 2019, 05:04
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________




Re: If m and r are two numbers on th enumber line, what is the
[#permalink]
02 Oct 2019, 05:04






