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27 Dec 2016, 08:57
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If z is a positive number, is r^2 + z > z^2 + r ?
(1) r is a negative number.
(2) z is less than 1.
(1) r is a negative number.
(2) z is less than 1.
27 Dec 2016, 10:35
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Bunuel
If z is a positive number, is r^2 + z > z^2 + r ?
(1) r is a negative number.
(2) z is less than 1.
(1) r is a negative number.
(2) z is less than 1.
is (r^2-z^2)>r-z
(r-z)(r+z)>(r-z)
(1) no info of z
(2) no info of r
both statements are insuff
combining (r-z)(r+z-1)>0
As 0<z<1
if IrI<IzI then r-z<0 && ((r+z-1)<0
if IrI>IzI then r-z<0 && ((r+z-1)<0
if IrI=IzI then r-z<0 && ((r+z-1)<0
Hence suff
Ans C
saurabhsavant
Joined: 27 Aug 2016
Last visit: 09 Nov 2017
Posts: 74
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Given Kudos: 149
Location: India
Schools: HEC Montreal '21
GMAT 1: 670 Q47 V37
GPA: 3
WE:Engineering (Energy)
09 Jan 2017, 07:18
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rohit8865
Bunuel
If z is a positive number, is r^2 + z > z^2 + r ?
(1) r is a negative number.
(2) z is less than 1.
(1) r is a negative number.
(2) z is less than 1.
is (r^2-z^2)>r-z
(r-z)(r+z)>(r-z)
(1) no info of z
(2) no info of r
both statements are insuff
combining (r-z)(r+z-1)>0
As 0<z<1
if IrI<IzI then r-z<0 && ((r+z-1)<0
if IrI>IzI then r-z<0 && ((r+z-1)<0
if IrI=IzI then r-z<0 && ((r+z-1)<0
Hence suff
Ans C
Do U have an alternate approach? I didnt get ur solution..thanx
