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

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28 Oct 2015, 03:28

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.

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]

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28 Oct 2015, 08:38

1

This post received 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

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.

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.
_________________

___________________________ 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

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

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28 Sep 2017, 16:08

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.