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If u and –3v are greater than 0, and [#permalink]
12 Aug 2018, 10:09
Question Stats:
40% (01:45) correct
60% (01:28) wrong based on 75 sessions
If u and –3v are greater than 0, and \(\sqrt{u} < \sqrt{3v}\) , which of the following cannot be true ? A. \(\frac{u}{3} < v\) B. \(\frac{u}{v} > 3\) C. \(\sqrt{\frac{u}{v}} < \sqrt{3}\) D. \(u + 3v > 0\) E. \(u < 3v\)
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Re: If u and –3v are greater than 0, and [#permalink]
18 Aug 2018, 20:24
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Carcass wrote: If u and –3v are greater than 0, and \(\sqrt{u} < \sqrt{3v}\) , which of the following cannot be true ?
A. \(\frac{u}{3} < v\)
B. \(\frac{u}{v} > 3\)
C. \(\sqrt{\frac{u}{v}} < \sqrt{3}\)
D. \(u + 3v > 0\)
E. \(u < 3v\) A quick glance through all the option, we will see that option D which is \(u + 3v > 0\) is not possible, so might be the answer, however lets look at the remaing option option A :: \(\frac{u}{3} < v\)  This is possible if we divide by 3 on both sides Option B:: \(\frac{u}{v} > 3\)  This is possible, since 3v > 0 so v < 0 Option C:: \(\sqrt{\frac{u}{v}} < \sqrt{3}\)  It is possible by dividing \(\sqrt{v}\) on both sides Option E:: \(u < 3v\)  It is also possible by squaring on both sides. ** When the GRE writes a root sign, they are indicating a nonnegative root only**
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Re: If u and –3v are greater than 0, and [#permalink]
25 May 2019, 07:33
here, u>0, and 3v>0 So, u+(3v)>0 U3v >0 But, option D is not as above . So, D.



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Re: If u and –3v are greater than 0, and [#permalink]
26 May 2019, 07:37
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Carcass wrote: If u and –3v are greater than 0, and \(\sqrt{u} < \sqrt{3v}\) , which of the following cannot be true ?
A. \(\frac{u}{3} < v\)
B. \(\frac{u}{v} > 3\)
C. \(\sqrt{\frac{u}{v}} < \sqrt{3}\)
D. \(u + 3v > 0\)
E. \(u < 3v\) If \(\sqrt{u} < \sqrt{3v}\), then it must also be true that u < 3vScan the answer choices.... Hmmm, D says that u + 3v > 0 However, if we take u < 3v and add 3v to both sides, we get: u + 3v < 0, which is the OPPOSITE of what answer choice D is saying. Answer: D Cheers, Brent
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Re: If u and –3v are greater than 0, and [#permalink]
21 Apr 2020, 09:30
** When the GRE writes a root sign, they are indicating a nonnegative root only**
Can someone explain what is the exact meaning of this with an example? Thanks in advance!



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Re: If u and –3v are greater than 0, and [#permalink]
21 Apr 2020, 09:44
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ZIONGRE wrote: ** When the GRE writes a root sign, they are indicating a nonnegative root only**
Can someone explain what is the exact meaning of this with an example? Thanks in advance! Every positive number has two square roots. For example, the square root of 25 is 5, since 5² = 25 AND 5, since (5)² = 25 However, the square root NOTATION tells us to indicate the nonnegative root only. So, for example: \(\sqrt{25}=5\) \(\sqrt{49}=7\) \(\sqrt{0.25}=0.5\) \(\sqrt{0}=0\) etc Does that help? Cheers, Brent
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Re: If u and –3v are greater than 0, and
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21 Apr 2020, 09:44





