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GRE prep Club test question
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28 Jul 2017, 09:33
28 Jul 2017, 09:33
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Question Stats:
75% (02:20) correct
25% (01:39) wrong based on 8 sessions
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If \(x=5\sqrt{-37}\) then which of the following must be true?
A. \(\sqrt{(-x)}>2\)
B. \(x >-2\)
C. \(x^2< 4\)
D. \(x^3<-8\)
E. \(x^4>32\)
A. \(\sqrt{(-x)}>2\)
B. \(x >-2\)
C. \(x^2< 4\)
D. \(x^3<-8\)
E. \(x^4>32\)
Re: GRE prep Club test question
[#permalink]
22 Sep 2017, 12:20
22 Sep 2017, 12:20
1
saumya17lc wrote:
If x=5√−37
then which of the following must be true?
√−x>2
x>−2
x2<4
x3<−8
x4>32
then which of the following must be true?
√−x>2
x>−2
x2<4
x3<−8
x4>32
GREPREP club question- Quant test 6 Question 11 of 20 ID: Q02-99
Just want to add few details in the explanation-
Points to remember- Odd roots have same signs
eg \(3\sqrt{-125}\) =-5 and \(3\sqrt{125}\) =5
Now back to question-
we know \(5\sqrt{32}\)=2 so \(5\sqrt{-37}\)≈2.1 ( it should be slightly greater than \(2^5\))
Now we can check with each option-
only option D fits the sol. because \((-2.1)^3\) < -8 so \(x^3\)<−8
Re: GRE prep Club test question
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21 Apr 2023, 21:28
21 Apr 2023, 21:28
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