Hi
Need some help in solving the attached.
Thanks B
Is v>0
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Nice question.If mv < pv < 0, is v > 0?
1) m < p
2) m < 0
Target question: Is v > 0
Given: mv < pv < 0
Statement 1: m < p
IMPORTANT: Notice what happens if we take mv < pv and divide both sides by v.
The resulting inequality will depend on whether v is NEGATIVE or POSITIVE. So, let's consider two cases:
case a: v is NEGATIVE.
When we take mv < pv and divide both sides by v, we get m > p
We changed the direction of the inequality sign since we divided by a NEGATIVE value.
case b: v is POSITIVE.
When we take mv < pv and divide both sides by v, we get m < p
The direction of the inequality sign stayed the same since we divided by a POSITIVE value.
Statement 1 tells us that m < p, which means we can rule out case a.
So, we conclude that v is POSITIVE
In other words, v > 0
Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: m < 0
We're told that mv < pv < 0, which means that mv < 0
In other words, the product mv is NEGATIVE
Statement 2 tell us that m is NEGATIVE
In order for the product mv to be NEGATIVE, v must be positive
In other words, v > 0
Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Answer = D
Cheers,
Brent
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Hi ,
Given: mv<pv<0
Target Question : v>0 ?
statement 1 - m<p
lets try the numbers
m=-2 and p=-1
then v should be positive.
if m=1 and p=2
then v should be negative
so this statement is not sufficient.
Statement 2 is sufficient that i got.
Please advise and correct me if i am wrong.
Thanks
Given: mv<pv<0
Target Question : v>0 ?
statement 1 - m<p
lets try the numbers
m=-2 and p=-1
then v should be positive.
if m=1 and p=2
then v should be negative
so this statement is not sufficient.
Statement 2 is sufficient that i got.
Please advise and correct me if i am wrong.
Thanks
GMAT/MBA Expert
- Brent@GMATPrepNow
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The part above in red is not correct.j_shreyans wrote:Hi ,
Given: mv<pv<0
Target Question : v>0 ?
statement 1 - m<p
lets try the numbers
m=-2 and p=-1
then v should be positive.
if m=1 and p=2
then v should be negative
so this statement is not sufficient.
If m=1, p=2 and v is negative (e.g., v = -1), then the GIVEN CONDITIONS (mv < pv < 0) are not met.
When we plug in the values of m, p and v, we get: (1)(-1) < (2)(-1) < 0
This simplifies to -1 < -2 < 0, which is incorrect.
Cheers,
Brent
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Given : mv< pv => v(m-p) < 0
If v > 0 , m - p < 0;
Target question rephrased => is m < p ?
From (1)
m < p , hence v > 0 SUFFICIENT
From (2)
Since mv < 0 and m < 0 ; v has to be > 0 . Hence v > 0 . SUFFICIENT
D.
If v > 0 , m - p < 0;
Target question rephrased => is m < p ?
From (1)
m < p , hence v > 0 SUFFICIENT
From (2)
Since mv < 0 and m < 0 ; v has to be > 0 . Hence v > 0 . SUFFICIENT
D.