by: bb
58 mins
by: WA
2 hrs
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
70% (02:03) correct
30%
(02:10)
wrong
based on 5562
sessions
History
Date
Time
Result
Not Attempted Yet
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.
Attachment:
2015-10-26_2043.png [ 955 Bytes | Viewed 74466 times ]
Every tricky question should trigger a follow up quiz.
Build that habit with
GMAT Club Forum Quiz →.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
_________________
New to the GMAT Club?
- • Questions: Question Bank | Bunuel's Signature Collection
• Tests: GMAT Club Tests | Forum Quiz
• Guides: Quantitative | Critical Reasoning | Reading Comprehension | Ultimate Quant Guide | All You Need for Quant
• Rules: Quantitative | Verbal
camlan1990
Joined: 11 Sep 2013
Last visit: 19 Sep 2016
Posts: 95
Schools: Kenan-Flagler '17 SMU '17 McCombs '19
Schools: Kenan-Flagler '17 SMU '17 McCombs '19
Posts: 95
Bunuel
(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
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.
eshan333
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
EMPOWERgmatRichC
Expert
Major Poster
Joined: 19 Dec 2014
Last visit: 31 Dec 2023
Posts: 21,775
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Expert reply
eshan333
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
camlan1990
Can you please explain how you go from "2MN = 3MQ" to "2MQ + 2QN = 3MQ"? Thank you.
ENGRTOMBA2018
Joined: 20 Mar 2014
Last visit: 01 Dec 2021
Posts: 2,315
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE:Engineering (Aerospace and Defense)
Products:
Samwong
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.
GMAT 1: 760 Q51 V42
Posts: 10,057
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.
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.
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
Answer : A
)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
Answer : A
how can we know Q is between MN,
Can it be like Q-----M------------N ? then MN still longer than QM.
Can it be like Q-----M------------N ? then MN still longer than QM.
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.
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
Posts: 206
Hello guys ,
a prompt question does "Point Q is between points M and N" mean that QM=QN , or is Q just at a random place between M and N ?
a prompt question does "Point Q is between points M and N" mean that QM=QN , or is Q just at a random place between M and N ?
UNSTOPPABLE12
Point Q is between points M and N does NOT mean that QM = QN. If it were so, the answer would be D, not A.
_________________
New to the GMAT Club?
- • Questions: Question Bank | Bunuel's Signature Collection
• Tests: GMAT Club Tests | Forum Quiz
• Guides: Quantitative | Critical Reasoning | Reading Comprehension | Ultimate Quant Guide | All You Need for Quant
• Rules: Quantitative | Verbal
Posts: 1,348
Bunuel
Statement 1:
\(2(MN)=3(MQ)\)
\(\frac{2}{3}=\frac{MQ}{MN}\)
Let \(MQ=2d\) and \(MN=3d\).
The result is the following number line:
M<--2d-->Q<--d-->N
Thus:
\(\frac{QN}{MQ}=\frac{d}{2d}=\frac{1}{2}\)
SUFFICIENT.
Statement 2:
No information about any lengths.
INSUFFICIENT.
_________________
GMAT and GRE Tutor for over 20 years
Recent success stories for my students:admissions into Booth, Kellogg, HBS, Wharton, Tuck, Fuqua, Emory and others.
Available for live sessions in NYC and remotely all over the world
For more information, please email me at GMATGuruNY at gmail
Recent success stories for my students:admissions into Booth, Kellogg, HBS, Wharton, Tuck, Fuqua, Emory and others.
Available for live sessions in NYC and remotely all over the world
For more information, please email me at GMATGuruNY at gmail
EMPOWERgmatRichC
Expert
Major Poster
Joined: 19 Dec 2014
Last visit: 31 Dec 2023
Posts: 21,775
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Expert reply
Hi Genoa2000,
DS questions are interesting because they're built to 'test' you on a variety of skills (far more than just your 'math' skills), including organization, accuracy, attention-to-detail, thoroughness and the ability to prove that your answer is correct. DS questions also have no 'safety net' - meaning that if you make a little mistake, then you will convince yourself that one of the wrong answers is correct.
If you choose to select an answer after just reading the information in Fact 2 (and not do any work to PROVE what the correct answer is), then one of two outcomes is likely... You might understand the information perfectly and have the correct answer.... OR.... you have made some type of silly/little mistake and you are about to let some easy points slip away. Doing work "in your head" is the WORST way to approach a GMAT question - so the more often you take that approach, the more likely you lose some 'gettable' points on Test Day.
GMAT assassins aren't born, they're made,
Rich
DS questions are interesting because they're built to 'test' you on a variety of skills (far more than just your 'math' skills), including organization, accuracy, attention-to-detail, thoroughness and the ability to prove that your answer is correct. DS questions also have no 'safety net' - meaning that if you make a little mistake, then you will convince yourself that one of the wrong answers is correct.
If you choose to select an answer after just reading the information in Fact 2 (and not do any work to PROVE what the correct answer is), then one of two outcomes is likely... You might understand the information perfectly and have the correct answer.... OR.... you have made some type of silly/little mistake and you are about to let some easy points slip away. Doing work "in your head" is the WORST way to approach a GMAT question - so the more often you take that approach, the more likely you lose some 'gettable' points on Test Day.
GMAT assassins aren't born, they're made,
Rich
ScottTargetTestPrep
Expert
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 15 Sep 2026
Posts: 22,740
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert reply
Posts: 22,740
Bunuel
Solution:
Question Stem Analysis:
We need to determine the value of QN/MQ. We can let MQ = x, QN = y. If Q is between M and N, then MN = x + y. If N is between M and Q, then MN = x - y. In any case, we need to determine the value of y/x.
Statement One Alone:
With statement one, we see that N is further to the right of M than Q is. Therefore, Q is between M and N. In that case, MN = x + y and MQ = x, and we have:
2(x + y) = 3x
2x + 2y = 3x
2y = x
y/x = 1/2
Statement one alone is sufficient.
Statement Two Alone:
Knowing only that Q is between M and N is not sufficient to answer the question. For example, if Q is exactly the midpoint of M and N, then the ratio QN/MQ = 1. However, if Q is closer to M than it is to N, then the ratio is greater than 1.
Answer: A
_________________
Scott Woodbury-Stewart | Founder and
CEO |
[email protected]
See why Target Test Prep is the top rated GMAT course on GMAT Club. Read Our Reviews
avigutman
Expert
Tutor
Joined: 17 Jul 2019
Last visit: 27 Jun 2026
Posts: 1,285
Location: Canada
Schools: NYU Stern (WA)
GMAT 1: 780 Q51 V45
GMAT 2: 780 Q50 V47
GMAT 3: 770 Q50 V45
Expert reply
Video solution from Quant Reasoning:
Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1
Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1
Bunuel
Answer: Option A
Video solution by GMATinsight
_________________
GMATinsight (Tutor & Admission Consultant) | Contact for a FREE trial session
Our Recent scores: 735 | 715(3) | 705(2) | 695 (>5)
FREE Resources (Recommended BOOKMARKS):
8 FREE Focus Tests | Dynamic Focus Calculator | Data Insight (DI): Guide/Analysis/20+Video solution of Official Qns.
Our Recent scores: 735 | 715(3) | 705(2) | 695 (>5)
FREE Resources (Recommended BOOKMARKS):
8 FREE Focus Tests | Dynamic Focus Calculator | Data Insight (DI): Guide/Analysis/20+Video solution of Official Qns.
ScottTargetTestPrep
ScottTargetTestPrep
For the math
"2y = x
y/x = 1/2"
To confirm my understanding, I have a few questions:
Question 1: When you divide by x there is a 1 left on the right hand-side of the equal sign, correct? so it is 2y=x --> divide by x --> 2y/x=1 --> divide by 2= --> 1/2=y/x
Question 2: Why can you just divide by 2 when it is grouped with y/x on the left-hand side? In other words, for 2y/x doesn't the division of x apply to both the 2 and the y?
Thank you for your help.
ScottTargetTestPrep
Expert
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 15 Sep 2026
Posts: 22,740
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert reply
Posts: 22,740
woohoo921
For your first question, we do get a 1 on the right hand side after we divide each side by x. We can obtain y/x = 1/2 from 2y = x in two steps, like the way you showed; or we can simply divide each side of 2y = x by 2x to obtain y/x = 1/2 in a single step.
For your second question, the division of x does not apply to both 2 and y. You must be thinking of the case where we divide a summation by some number, for instance, (2 + y)/x. In this case, the division indeed applies to both 2 and y, so we can rewrite this expression as 2/x + y/x. However, 2y/x is equal to (2/x) * y or 2 * (y/x), but not (2/x) * (y/x) (which you can verify simply by observing that the product of 2/x and y/x is not equal to 2y/x).
_________________
Scott Woodbury-Stewart | Founder and
CEO |
[email protected]
See why Target Test Prep is the top rated GMAT course on GMAT Club. Read Our Reviews
Moderator:
Announcements
Monday, Sep 14, 2026
11:30am NY / 3:30pm London / 9pm Mumbai
Subscribe to GMAT Club for New Podcast Episodes, Debriefs, & Insightful Sessions on GMAT Preparation
Tuck at Dartmouth
AI at Dartmouth Tuck: How the School Is Preparing Leaders for the Age of Artificial Intelligence
Inside the courses, research, and hands-on learning defining wise, decisive leadership in an AI-driven world.
Read More
Inside the courses, research, and hands-on learning defining wise, decisive leadership in an AI-driven world.
Read More
Top 5 GMAT Debrief Videos
Success stories and strategies from high-scoring candidates.