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13 Sep 2020, 03:00
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B
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Difficulty:
25%
(medium)
Question Stats:
70% (01:23) correct
30%
(01:22)
wrong
based on 90
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Not Attempted Yet
If 5w + 3v = 13, what is the value of vw ?
(1) w > 0
W = 0.2
1 +3v = 13
V = 4
VW = 0.8
If W = 2
3V = 3
V = 1
VW = 2
INSUFFICIENT
(2) w/v = 2
5w + 3v = 13
W= 2V
10v +3v = 13
13v= 13
V=1
Substituting v = 1 in 5w + 3v = 13
5W = 10
W = 2
VW = 2*1 = 2
SUFFICIENT
Answer - B
Posted from my mobile device
(1) w > 0
W = 0.2
1 +3v = 13
V = 4
VW = 0.8
If W = 2
3V = 3
V = 1
VW = 2
INSUFFICIENT
(2) w/v = 2
5w + 3v = 13
W= 2V
10v +3v = 13
13v= 13
V=1
Substituting v = 1 in 5w + 3v = 13
5W = 10
W = 2
VW = 2*1 = 2
SUFFICIENT
Answer - B
Posted from my mobile device
13 Sep 2020, 03:39
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Bunuel
Statement 1 barely tells us anything. From Statement 2, we know v = 2w, and we can use that to substitute for "v" in the equation 5w + 3v = 13 to solve for w and v, and answer the question, so the answer is B.
But I wonder if the question is meant to instead say something like this:
If 5w + 3v = 13, what is the value of vw?
1. w and v are positive integers
2. v/w = 1/2
or at least, I wonder if that's how Statement 2 should read; with "v/w" on the left side, the solution becomes clean (w = 2, v = 1) instead of messy. I also rewrote Statement 1 so that it wasn't pointless -- in this version of the question, Statement 1 also is sufficient, since there is only one positive integer solution for w and v. This version of the question feels to me much more like what you might see on the GMAT.
