taneja.niks wrote:Distance between x and y is greater than distance between x and z. Does z lie between x and y on the number line?
a) xyz < 0
b) xy < 0
plz explain
First lets squeeze as much info as possible from question and sts
I would start from B
as it doesnt say anything about z we can say it is not suff so B and D Out
from examining A it seem it is not suff as 3 numbers can have any signs.
Now left with C and E
easier here will be try to prove,z can be in the middle or cannot be in the middle deriving multiple cases.
so
we have xy>xz
from 1+2
we know z is positive but either of y or z has to be -ve(from 2)
if x=-ve y is + and z=+ve
x........|0.................z...................y
Lies
if x=+ y is -ve and z=+ve
y........|0.........................x.........z
doesnt lie.
Multiple case
So E
It seems long here but i can we can directly start drawing those lines and testing it.
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