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If mv < pv< 0, is v > 0?

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If mv < pv< 0, is v > 0? [#permalink] New post 20 May 2012, 13:14
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If mv < pv< 0, is v > 0?

(1) m < p
(2) m < 0
[Reveal] Spoiler: OA

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Re: Is v positive? [#permalink] New post 20 May 2012, 17:18
Note that both mv and pv are negative.

Statement 1: m<p
=> mv<pv if v is positive (and is given to us)
=> mv>pv is v is negative

Therefore v is positive. Sufficient.

Statement 2: m<0
=> mv<0 only if v is positive (and this is given to us)

Therefore v is positive.

Sufficient.

D it is.
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Re: If mv < pv< 0, is v > 0? [#permalink] New post 21 May 2012, 00:17
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If mv < pv< 0, is v > 0?

Given: mv<pv<0 --> two cases:

If v>0 then when dividing by v we would have: m<p<0;
If v<0 then when dividing by v we would have: m>p>0 (flip the sign when dividing by negative value).

(1) m < p --> we have the first case, so v>0. Sufficient.
(2) m < 0 --> we have the first case, so v>0. Sufficient.

Answer: D.

Hope it's clear.
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Re: If mv < pv< 0, is v > 0? [#permalink] New post 23 May 2012, 01:49
If mv < pv< 0, is v > 0?
from here, we know that:
mv < 0 -> if m is +, V must be -, if m is - then v is + (they must be opposite to be negative)
pv < 0 -> if p is +, V must be - ,if p is -, then v is + (they must be opposite to be negative)
mv < pv -> if v is +, then m < p,if v is - then m > p (divide both side by v,dont forget to flip inequality sign when v is -)

(1) m < p --> so v>0. Sufficient.
(2) m < 0 --> so v>0. Sufficient.
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Re: If mv < pv< 0, is v > 0? [#permalink] New post 18 Oct 2014, 01:06
Bunuel wrote:
If mv < pv< 0, is v > 0?

Given: mv<pv<0 --> two cases:

If v>0 then when dividing by v we would have: m<p<0;
If v<0 then when dividing by v we would have: m>p>0 (flip the sign when dividing by negative value).

(1) m < p --> we have the first case, so v>0. Sufficient.
(2) m < 0 --> we have the first case, so v>0. Sufficient.

Answer: D.

Hope it's clear.



I understood Bunuel's explanation for statement-1 but following values makes statement-1 insufficient. Please help me understand this:

(1) m<p

lets take v=1, m=-3, p=-2 it gives mv=-3, pv=-2 and hence does not violate mv<pv<0 as -3<-2<0, so v is +ve here
lets take v=-1, m=3, p=2 it gives mv=-3, pv=-2 and hence does not violate mv<pv<0 as -3<-2<0 but v is -ve here

Thanks
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Re: If mv < pv< 0, is v > 0? [#permalink] New post 18 Oct 2014, 01:13
Expert's post
HKD1710 wrote:
Bunuel wrote:
If mv < pv< 0, is v > 0?

Given: mv<pv<0 --> two cases:

If v>0 then when dividing by v we would have: m<p<0;
If v<0 then when dividing by v we would have: m>p>0 (flip the sign when dividing by negative value).

(1) m < p --> we have the first case, so v>0. Sufficient.
(2) m < 0 --> we have the first case, so v>0. Sufficient.

Answer: D.

Hope it's clear.



I understood Bunuel's explanation for statement-1 but following values makes statement-1 insufficient. Please help me understand this:

(1) m<p

lets take v=1, m=-3, p=-2 it gives mv=-3, pv=-2 and hence does not violate mv<pv<0 as -3<-2<0, so v is +ve here
lets take v=-1, m=3, p=2 it gives mv=-3, pv=-2 and hence does not violate mv<pv<0 as -3<-2<0 but v is -ve here

Thanks


m = 3 and p = 2 violate the first statement, which says that m < p.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: If mv < pv< 0, is v > 0?   [#permalink] 18 Oct 2014, 01:13
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