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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
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41% (01:51) correct 
