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 Your Progress
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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
Combined 2w<v<5w So 5w>2w...3w>0....w>0 and so v>2w means v>w Sufficient
C
Hi Chetan2u,
I could not get the last part. If we combine 1 and 2 should not the equation be 5w<v<2w => w<0 . Although the answer would still be C.
_________________
Target question:Is v − w < 0? This is a good candidate for rephrasing the target question. Take: v − w < 0 Add w to both sides to get: v < w REPHRASED target question:Is v < w?
Statement 1: v − 2w < 0 Let's TEST some values. There are several values of v and w that satisfy statement 1. Here are two: Case a: v = 0 and w = 1. In this case, the answer to the REPHRASED target question is YES, it is true that v < w Case b: v = 3 and w = 2. In this case, the answer to the REPHRASED target question is NO, it is NOT true that v < w Since we cannot answer the REPHRASED target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: 5w − v < 0 Let's TEST some values. There are several values of v and w that satisfy statement 2. Here are two: Case a: v = -2 and w = -1. In this case, the answer to the REPHRASED target question is YES, it is true that v < w Case b: v = 1 and w = 0. In this case, the answer to the REPHRASED target question is NO, it is NOT true that v < w Since we cannot answer the REPHRASED target question with certainty, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined Statement 1 tells us that v − 2w < 0 Statement 2 tells us that 5w − v < 0 If we ADD the two inequalities, we get: 3w < 0, which means w is NEGATIVE
Also, if we can take v − 2w < 0 and add 2w to both sides, we get v < 2w And, if we can take 5w − v < 0 and add v to both sides, we get 5w < v So, we can combine the inequalities to get: 5w < v < 2w Since, we already know that w is NEGATIVE, we know that 2w < w So, we can add this to our existing inequality to get: 5w < v < 2w < w At this point, we can see that within our inequality, it is certain that v < w In other words, the answer to the REPHRASED target question is YES, it is true that v < w Since we can answer the target question with certainty, the combined statements are SUFFICIENT
close
48% (01:50) correct 
