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[DS][Numberline] HSPA posts

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[DS][Numberline] HSPA posts

by HSPA » Wed Apr 13, 2011 2:23 am
On the no line, the ditance between x and y is greater than the distance between x and z. DOes z lie between x and y on the no line?

1. xyz <0
2. xy <0
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by force5 » Wed Apr 13, 2011 2:44 am
Can be

z x y
or

x z y

(1) says xyz are -ve which means either case 1 can be true only z -ve
or case 2 can be true with x -ve
or
all three can be negative. ( hence insufficient)

(2) xy -ve ( either one is negative) . which means x has to be negative. but still insuff)

combining- x is negative but y is not from stmnt2 hence the only possible scenario is the second one
x....z...y

Hence C.
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by HSPA » Wed Apr 13, 2011 2:58 am
try again force with below hint

Consider x=-1, z = -2 and y =5
x=-5, z= -6 and y = -1
Y is symmetric around X.
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by bubbliiiiiiii » Wed Apr 13, 2011 3:06 am
IMO E.
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by manpsingh87 » Wed Apr 13, 2011 3:12 am
HSPA wrote:On the no line, the ditance between x and y is greater than the distance between x and z. DOes z lie between x and y on the no line?

1. xyz <0
2. xy <0
here different cases are possible.
1)xyz<0 x=+ve, y=+ve z=-ve, in this z won't lie between x and y. ( try diff. combinations).
x=+ve, y=-ve, z=+ve in this case also z won't lie between x and y.
x=-ve, y=+ve, z=+ve in this case z may lie between x and y.
hence 1 alone is not sufficient to answer the question.

2) xy<0, x=+ve and y=-ve, or x=-ve and y=+ve
now as no information is provided by z hence 2 alone is also not sufficient to answer the question.

combining 1 and 2.
x=+ve, y=-ve and z =-ve, z won't lie b/w x and y.
x=-ve, y=+ve, z=+ve z may lie between x and y.

as even after combining 1 and 2 we are not able to get the unique solution hence answer should be E.
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