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22 Mar 2011, 08:23
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E
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Difficulty:
55%
(hard)
Question Stats:
48% (01:33) correct
52%
(01:17)
wrong
based on 31
sessions
History
Date
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Not Attempted Yet
Is x < y ?
(1) z^2 < y
(2) x < z
(1) z^2 < y
(2) x < z
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bagrettin
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22 Mar 2011, 08:42
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(1) is, of course, not sufficient because there is no anything about x there.
(2) is not sufficient since there is no y there.
(1) and (2) alone are not sufficient, because conclusions could be different.
Let x=0.4 y=0.3 z=0.5 the 0.5^2<0.3; 0.4<0.5 and x>y
But let x=1 y=20 z=4. Here 4^2<20; 1<4 and x<y
The reason is that if 0<x<1 then x^2<x, but if x>1 then x^2>x.
You should always be care of this!
The answer is E
(2) is not sufficient since there is no y there.
(1) and (2) alone are not sufficient, because conclusions could be different.
Let x=0.4 y=0.3 z=0.5 the 0.5^2<0.3; 0.4<0.5 and x>y
But let x=1 y=20 z=4. Here 4^2<20; 1<4 and x<y
The reason is that if 0<x<1 then x^2<x, but if x>1 then x^2>x.
You should always be care of this!
The answer is E
22 Mar 2011, 18:00
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(1) is insufficient as there is no information about x
(2) is insufficient as there is no information about y
(1) and (2) together are also not sufficient.
x = 1/4 , z = 1/2, y = 1, then x < y
y = 1/4, z = 1/3, x = 1/4, then x = y
Answer - E
(2) is insufficient as there is no information about y
(1) and (2) together are also not sufficient.
x = 1/4 , z = 1/2, y = 1, then x < y
y = 1/4, z = 1/3, x = 1/4, then x = y
Answer - E
