It is currently 22 Oct 2017, 19:59

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Two points, N and Q (not shown), lie to the right of point M on line ℓ

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 41912

Kudos [?]: 129370 [0], given: 12197

Two points, N and Q (not shown), lie to the right of point M on line ℓ [#permalink]

### Show Tags

26 Oct 2015, 09:44
Expert's post
22
This post was
BOOKMARKED
00:00

Difficulty:

55% (hard)

Question Stats:

66% (01:32) correct 34% (01:34) wrong based on 742 sessions

### HideShow timer Statistics

Two points, N and Q (not shown), lie to the right of point M on line ℓ. What is the ratio of the length of QN to the length of MQ?

(1) Twice the length of MN is 3 times the length of MQ.
(2) Point Q is between points M and N.

Kudos for a correct solution.

[Reveal] Spoiler:
Attachment:

2015-10-26_2043.png [ 955 Bytes | Viewed 9090 times ]
[Reveal] Spoiler: OA

_________________

Kudos [?]: 129370 [0], given: 12197

Manager
Joined: 11 Sep 2013
Posts: 112

Kudos [?]: 88 [3], given: 26

Re: Two points, N and Q (not shown), lie to the right of point M on line ℓ [#permalink]

### Show Tags

26 Oct 2015, 12:45
3
KUDOS
4
This post was
BOOKMARKED
Bunuel wrote:

Two points, N and Q (not shown), lie to the right of point M on line ℓ. What is the ratio of the length of QN to the length of MQ?

(1) Twice the length of MN is 3 times the length of MQ.
(2) Point Q is between points M and N.

Kudos for a correct solution.

[Reveal] Spoiler:
Attachment:
2015-10-26_2043.png

(1) Twice the length of MN is 3 times the length of MQ.
=> MN>MQ
=> Because both N, Q lie on the right of M
=> Q is between M and N

2MN = 3MQ
=> 2MQ + 2QN = 3MQ
=> MQ = 2QN
=> QN/MQ = 1/2

Sufficient

(2) Point Q is between points M and N.
Insufficient

Ans: A

Kudos [?]: 88 [3], given: 26

Intern
Status: Out of my Mind , will be back in 2 minutes
Joined: 27 Aug 2015
Posts: 13

Kudos [?]: 9 [0], given: 7

Location: India
GMAT 1: 610 Q49 V25
WE: Other (Other)
Re: Two points, N and Q (not shown), lie to the right of point M on line ℓ [#permalink]

### Show Tags

28 Oct 2015, 04:28
Ans is C , as we do not know the exact positions of N and Q , in the question it is given that both lie to the right of M however we do not know whether N lie to the right of Q or Q lie to the right of N , so without knowing the exact position of N and Q we cannot ans the question. Therefore both statements are necessary for the conclusion.

Kudos [?]: 9 [0], given: 7

Intern
Joined: 27 Oct 2009
Posts: 9

Kudos [?]: 8 [1], given: 1

Location: Ukraine
Concentration: Entrepreneurship, General Management
WE: General Management (Computer Hardware)
Re: Two points, N and Q (not shown), lie to the right of point M on line ℓ [#permalink]

### Show Tags

28 Oct 2015, 09:38
1
KUDOS
eshan333 wrote:
N and Q , in the question it is given that both lie to the right of M however we do not know whether N lie to the right of Q or Q lie to the right of N , so without knowing the exact position of N and Q

From statement 1 we know that "Twice the length of MN is 3 times the length of MQ" -> 2MN = 3MQ it means that MN>MQ -> hence the position of Q is between M and N.
ans:A

Kudos [?]: 8 [1], given: 1

EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 9990

Kudos [?]: 3416 [0], given: 172

Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Re: Two points, N and Q (not shown), lie to the right of point M on line ℓ [#permalink]

### Show Tags

30 Oct 2015, 14:22
eshan333 wrote:
Ans is C , as we do not know the exact positions of N and Q , in the question it is given that both lie to the right of M however we do not know whether N lie to the right of Q or Q lie to the right of N , so without knowing the exact position of N and Q we cannot ans the question. Therefore both statements are necessary for the conclusion.

Hi eshan333,

While you ARE correct that we don't know the exact positions of N and Q, the question does NOT ask us for them (so you have to be careful about when you choose to stop working). The prompt asks for the RATIO of two lengths, NOT the exact measure of either of them. With a bit of 'playing around' and TESTing VALUES, you might find that you change your 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

Co-Founder & 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!***********************

Kudos [?]: 3416 [0], given: 172

Manager
Joined: 12 Sep 2010
Posts: 239

Kudos [?]: 30 [0], given: 27

Concentration: Healthcare, General Management
Re: Two points, N and Q (not shown), lie to the right of point M on line ℓ [#permalink]

### Show Tags

03 Feb 2016, 14:43
camlan1990 wrote:
Bunuel wrote:

Two points, N and Q (not shown), lie to the right of point M on line ℓ. What is the ratio of the length of QN to the length of MQ?

(1) Twice the length of MN is 3 times the length of MQ.
(2) Point Q is between points M and N.

Kudos for a correct solution.

[Reveal] Spoiler:
Attachment:
2015-10-26_2043.png

(1) Twice the length of MN is 3 times the length of MQ.
=> MN>MQ
=> Because both N, Q lie on the right of M
=> Q is between M and N

2MN = 3MQ
=> 2MQ + 2QN = 3MQ

=> MQ = 2QN
=> QN/MQ = 1/2

Sufficient

(2) Point Q is between points M and N.
Insufficient

Ans: A

Can you please explain how you go from "2MN = 3MQ" to "2MQ + 2QN = 3MQ"? Thank you.

Kudos [?]: 30 [0], given: 27

Math Forum Moderator
Joined: 20 Mar 2014
Posts: 2675

Kudos [?]: 1728 [2], given: 792

Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
Re: Two points, N and Q (not shown), lie to the right of point M on line ℓ [#permalink]

### Show Tags

03 Feb 2016, 18:05
2
KUDOS
Expert's post
1
This post was
BOOKMARKED
Samwong wrote:
camlan1990 wrote:
Bunuel wrote:

Two points, N and Q (not shown), lie to the right of point M on line ℓ. What is the ratio of the length of QN to the length of MQ?

(1) Twice the length of MN is 3 times the length of MQ.
(2) Point Q is between points M and N.

Kudos for a correct solution.

[Reveal] Spoiler:
Attachment:
2015-10-26_2043.png

(1) Twice the length of MN is 3 times the length of MQ.
=> MN>MQ
=> Because both N, Q lie on the right of M
=> Q is between M and N

2MN = 3MQ
=> 2MQ + 2QN = 3MQ

=> MQ = 2QN
=> QN/MQ = 1/2

Sufficient

(2) Point Q is between points M and N.
Insufficient

Ans: A

Can you please explain how you go from "2MN = 3MQ" to "2MQ + 2QN = 3MQ"? Thank you.

You are given that 2MN=3MQ ---> MN=1.5MQ

Now, this should tell you that the arrangement becomes:

M-------Q-------N such that MN = MQ+QN

Again, as MN = 1.5 MQ ---> MQ+QN=1.5 MQ (as MN = MQ+QN )

Thus, you get, QN = 0.5 MQ ---> clearly you can now calculate the ratio QN/MQ . Thus this statement is sufficient.

Hope this helps.
_________________

Thursday with Ron updated list as of July 1st, 2015: http://gmatclub.com/forum/consolidated-thursday-with-ron-list-for-all-the-sections-201006.html#p1544515
Rules for Posting in Quant Forums: http://gmatclub.com/forum/rules-for-posting-please-read-this-before-posting-133935.html
Everything Related to Inequalities: http://gmatclub.com/forum/inequalities-made-easy-206653.html#p1582891
Inequalities tips: http://gmatclub.com/forum/inequalities-tips-and-hints-175001.html
Debrief, 650 to 750: http://gmatclub.com/forum/650-to-750-a-10-month-journey-to-the-score-203190.html

Kudos [?]: 1728 [2], given: 792

Manager
Joined: 12 Sep 2010
Posts: 239

Kudos [?]: 30 [0], given: 27

Concentration: Healthcare, General Management
Re: Two points, N and Q (not shown), lie to the right of point M on line ℓ [#permalink]

### Show Tags

04 Feb 2016, 01:02
Thanks Engr2012 for the explanation. That make sense now.

Kudos [?]: 30 [0], given: 27

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4142

Kudos [?]: 2915 [0], given: 0

GPA: 3.82
Re: Two points, N and Q (not shown), lie to the right of point M on line ℓ [#permalink]

### Show Tags

04 Feb 2016, 18:55
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

Two points, N and Q (not shown), lie to the right of point M on line ℓ. What is the ratio of the length of QN to the length of MQ?

(1) Twice the length of MN is 3 times the length of MQ.
(2) Point Q is between points M and N.

------|---------------------------------- line L

M

When you modify the original condition and the question, the que is ratio of QN:MQ, which is for 1) ratio and for 2) number(equation). In a case like this, it is most likely that ratio is the answer.

In 1),

------|--------|--------------------------|----- line L

M Q N

If MQ=2d, 2MN=3*2d, MN=3d and QN=d. Therefore, the que, QN:MQ=d:2d=1:2 is derived, which is unique and sufficient.
Therefore, the answer is A.

-> Once we modify the original condition and the question according to the variable approach method 1, we can solve approximately 30% of DS questions.
_________________

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.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself
See our Youtube demo

Kudos [?]: 2915 [0], given: 0

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16552

Kudos [?]: 274 [0], given: 0

Re: Two points, N and Q (not shown), lie to the right of point M on line ℓ [#permalink]

### Show Tags

22 Mar 2017, 01:57
1
This post was
BOOKMARKED
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.
_________________

Kudos [?]: 274 [0], given: 0

Manager
Joined: 12 Jun 2016
Posts: 218

Kudos [?]: 35 [0], given: 129

Location: India
WE: Sales (Telecommunications)
Two points, N and Q (not shown), lie to the right of point M on line ℓ [#permalink]

### Show Tags

14 May 2017, 03:20
I solved this by picking numbers (I know it may look like a overkill on DS but it helped me to know the positions of N and Q )

S1:

I see 2 and 3 in the statement and pick a Number 6 for MN.
2(MN) = 3(MQ)
2(6) = 3(MQ) => MQ = 4
MQ=4 and MN=6 => QN = 2
QN/MQ = 2/4 = 1/2

S1 Suff.

S2:

Insuff. since we don't know the exact location of Q

_________________

My Best is yet to come!

Kudos [?]: 35 [0], given: 129

Intern
Joined: 25 Feb 2017
Posts: 48

Kudos [?]: 6 [0], given: 30

GMAT 1: 720 Q50 V38
GPA: 3.67
Re: Two points, N and Q (not shown), lie to the right of point M on line ℓ [#permalink]

### Show Tags

26 Jul 2017, 15:38
Image
Two points, N and Q (not shown), lie to the right of point M on line ℓ. What is the ratio of the length of QN to the length of MQ?

(1) Twice the length of MN is 3 times the length of MQ.
(2) Point Q is between points M and N.

My 2 cents.
I think the difficulty of this question comes from uniqueness.
We can solve this with simple algebra.

From con 1, we learn that
1) MQ + NQ = MN AND
2) 2MN = 3MQ

From here we can get MN
MN=1.5MQ, now plug it back to 1)

MQ+NQ=1.5MQ
MQ=0.5NQ and this is sufficient, hence A.

Kudos [?]: 6 [0], given: 30

Intern
Joined: 25 Mar 2016
Posts: 33

Kudos [?]: 5 [0], given: 2

Location: India
Concentration: Finance, General Management
WE: Other (Other)
Re: Two points, N and Q (not shown), lie to the right of point M on line ℓ [#permalink]

### Show Tags

27 Jul 2017, 10:53
Bunuel wrote:

Two points, N and Q (not shown), lie to the right of point M on line ℓ. What is the ratio of the length of QN to the length of MQ?

(1) Twice the length of MN is 3 times the length of MQ.
(2) Point Q is between points M and N.

Kudos for a correct solution.

[Reveal] Spoiler:
Attachment:
2015-10-26_2043.png

from statement 2 it seems that Q is mid point of MN and thus QN:MQ is 1:1..

I am confused now..can somebody please explain?

Kudos [?]: 5 [0], given: 2

Manager
Status: Math Tutor
Joined: 12 Aug 2017
Posts: 72

Kudos [?]: 29 [0], given: 13

WE: Education (Education)
Two points N and Q, not shown, be to the right of point M on line l. [#permalink]

### Show Tags

20 Aug 2017, 12:32
___________________________ line l
M
Two points N and Q, not shown, be to the right of point M on line l. What is the ratio of the length of QN to the length of MQ?

I : Twice the length of MN is three times the length of MQ.
II: Point Q is between points M and N
_________________

Abhishek Parikh
Math Tutor
Whatsapp- +919983944321
Mobile- +971529685639
Website: http://www.holamaven.com

Kudos [?]: 29 [0], given: 13

Math Forum Moderator
Joined: 02 Aug 2009
Posts: 4993

Kudos [?]: 5524 [0], given: 112

Re: Two points N and Q, not shown, be to the right of point M on line l. [#permalink]

### Show Tags

20 Aug 2017, 19:47
HolaMaven wrote:
___________________________ line l
M
Two points N and Q, not shown, be to the right of point M on line l. What is the ratio of the length of QN to the length of MQ?

I : Twice the length of MN is three times the length of MQ.
II: Point Q is between points M and N

Hi...
Required $$\frac{QN}{MQ}$$...
Statement I..
2*MN=3*MQ....
Clearly Q is between M and N..
So 2*(MQ+NQ)=3*MQ..... 2*MQ+2*NQ=3*MQ.....
2*NQ=MQ............$$\frac{NQ}{MQ}=\frac{1}{2}$$
Sufficient
Statement II..
Q is in between M and N
Nothing much..
Insufficient

A
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 5524 [0], given: 112

Math Expert
Joined: 02 Sep 2009
Posts: 41912

Kudos [?]: 129370 [0], given: 12197

Re: Two points, N and Q (not shown), lie to the right of point M on line ℓ [#permalink]

### Show Tags

20 Aug 2017, 23:13
HolaMaven wrote:
___________________________ line l
M
Two points N and Q, not shown, be to the right of point M on line l. What is the ratio of the length of QN to the length of MQ?

I : Twice the length of MN is three times the length of MQ.
II: Point Q is between points M and N

Merging topics. Please refer to the discussion above.

P.S. Please search before posting. Thank you.
_________________

Kudos [?]: 129370 [0], given: 12197

Manager
Joined: 07 Jun 2017
Posts: 111

Kudos [?]: 3 [0], given: 454

Re: Two points, N and Q (not shown), lie to the right of point M on line ℓ [#permalink]

### Show Tags

21 Aug 2017, 01:17
how can we know Q is between MN,
Can it be like Q-----M------------N ? then MN still longer than QM.

Kudos [?]: 3 [0], given: 454

Manager
Joined: 12 Jun 2016
Posts: 218

Kudos [?]: 35 [0], given: 129

Location: India
WE: Sales (Telecommunications)
Re: Two points, N and Q (not shown), lie to the right of point M on line ℓ [#permalink]

### Show Tags

23 Sep 2017, 23:39
Hello pclawong,

It is not possible for the line to be Q-----M------------N. Here's why.

Stem says that N and Q are to the the right of M. Two cases are possible

Case 1: M-----------Q---------------N

Case 2: M-----------N---------------Q

Lets see which of the above two cases holds true

S1 says - Twice the length of MN is 3 times the length of MQ. Algebraically this means

$$2MN = 3MQ$$

$$MN = \frac{3}{2}* MQ$$

Since $$\frac{3}{2}$$ is a number greater than 1, we get

$$MN > MQ$$

This clearly means the Line HAS to look like this M-------Q-----------N

Do let me know in case I was unable to give an answer.

pclawong wrote:
how can we know Q is between MN,
Can it be like Q-----M------------N ? then MN still longer than QM.

_________________

My Best is yet to come!

Kudos [?]: 35 [0], given: 129

Manager
Joined: 03 May 2017
Posts: 95

Kudos [?]: 15 [0], given: 13

Two points, N and Q (not shown), lie to the right of point M on line ℓ [#permalink]

### Show Tags

28 Sep 2017, 17:08
Given that N and Q are to the right of M, we can either have M---N---Q or M---Q----N. say MN=a, MQ= b and QM=c

Statement 1 says 2MN = 3MQ, i.e 2a=3b, therefore a > b and our line is M---Q----N. By observation, the line may look 1---3---4. This gives us 1/2 as the ratio of QN TO MQ.---Sufficient

Statement 1 says M---Q----N, we already know this somewhat in the prompt and its is not sufficient by itself without the info given in statement 1, for instance.

Hence the answer is A.

Kudos [?]: 15 [0], given: 13

Two points, N and Q (not shown), lie to the right of point M on line ℓ   [#permalink] 28 Sep 2017, 17:08
Display posts from previous: Sort by

# Two points, N and Q (not shown), lie to the right of point M on line ℓ

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.