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24 Sep 2019, 12:38
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
51% (01:25) correct
49%
(01:26)
wrong
based on 144
sessions
History
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Not Attempted Yet
x is a number not in the set {−1,0,1}.
Of the elements {x^4, x^5, x^6}, which is the greatest?
(1) x is a negative number.
(2) |x|>1
Of the elements {x^4, x^5, x^6}, which is the greatest?
(1) x is a negative number.
(2) |x|>1
24 Sep 2019, 19:38
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x is a number not in the set {−1,0,1}, so x could be a fraction or a number, positive or negative.
Of the elements {\(x^4, x^5, x^6\)}, which is the greatest?
\(x^4\) will be greatest whenever 0<|x|<1, otherwise \(x^6\) will be the greatest
For example if x = 1/2 or -1/2, \(x^4=\frac{1}{16}..x^6=\frac{1}{64}...x^4>x^6\)
If \(x=2, x^4=16...x^5=32...x^6=64...x^6>x^5>x^4\)
(1) x is a negative number.
If x is between 0 and -1, answer is x^4, otherwise x^6.
Insuff
(2) |x|>1
x>1 or x<-1, ...In each case x^6 will be the greatest.
Suff
B
Of the elements {\(x^4, x^5, x^6\)}, which is the greatest?
\(x^4\) will be greatest whenever 0<|x|<1, otherwise \(x^6\) will be the greatest
For example if x = 1/2 or -1/2, \(x^4=\frac{1}{16}..x^6=\frac{1}{64}...x^4>x^6\)
If \(x=2, x^4=16...x^5=32...x^6=64...x^6>x^5>x^4\)
(1) x is a negative number.
If x is between 0 and -1, answer is x^4, otherwise x^6.
Insuff
(2) |x|>1
x>1 or x<-1, ...In each case x^6 will be the greatest.
Suff
B
25 Sep 2019, 22:44
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minustark
Given: x is a number not in the set {−1,0,1}.
Asked: Of the elements {x^4, x^5, x^6}, which is the greatest?
(1) x is a negative number.
If 0>x>-1; x^4 is the greatest
If x<-1; x^6 is the greatest
NOT SUFFICIENT
(2) |x|>1
x^6 is the greatest
SUFFICIENT
IMO B
