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If x is a positive number less than 10, is z gater than the

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If x is a positive number less than 10, is z gater than the [#permalink]

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New post 11 Sep 2008, 11:38
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If x is a positive number less than 10, is z gater than the average of x and 10?

1) on the number line, z is closer to 10 than to x

2) z=5x

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Re: DS: Inequalities [#permalink]

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New post 11 Sep 2008, 15:40
E

A cant be as :

suppose x=8 so average of x and 10 = 9 also if z=9 (as Z is closer to 10)

z=avg of x and 10 , hence insufficient .

B

suppose x=1

then 5x=5

hence not B

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Re: DS: Inequalities [#permalink]

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New post 11 Sep 2008, 15:49
IMO A.

1 ) The mid point between X and 10 is the avg . and Z id more than the midpoint.. so z is greater than the avg

2 ) z =5x => consider x=.1 or x= 5 => not sufficient

statement 1 means => z-x > 10-z => 2z> 10-x => z > (10-x)/2

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Re: DS: Inequalities [#permalink]

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New post 11 Sep 2008, 16:45
stallone wrote:
E

A cant be as :

suppose x=8 so average of x and 10 = 9 also if z=9 (as Z is closer to 10)

z=avg of x and 10 , hence insufficient .

B

suppose x=1

then 5x=5

hence not B


The fact that Z is closer to 10 than to x means that it's greater than the mean of x+10.

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Re: DS: Inequalities [#permalink]

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New post 11 Sep 2008, 17:56
vksunder wrote:
If x is a positive number less than 10, is z gater than the average of x and 10?

1) on the number line, z is closer to 10 than to x

2) z=5x


IMO A

Given : 0<x<10
Q:isZ > (x+10)/2

(1) z-x>10-z=> z>(10+x)/2 when z >0
if z<0 then x-z >10-z is not possible since given is that x<10

SUFFI

(2)z=5x since x>0 z>0 now again when x=2/5 then z<(x+10)/2
when x=5 then z>(x+10)/2
hence INSUFFI

IMO A
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Re: DS: Inequalities [#permalink]

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New post 11 Sep 2008, 18:29
In my tric is that
1.i taken z=8
x=7
so,result is 8>8.5 yes.
then i got it z=9.5
x=9
so.........
9.5>9.5
no. in sufficiunt
i m rigth or wrong.......????????///

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Re: DS: Inequalities [#permalink]

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New post 11 Sep 2008, 18:47
tina10 wrote:
In my tric is that
1.i taken z=8
x=7
so,result is 8>8.5 yes.
then i got it z=9.5
x=9
so.........
9.5>9.5
no. in sufficiunt
i m rigth or wrong.......????????///

Tina, if x=7, then Z has to be greater than 8.5 (x+10's average)

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Re: DS: Inequalities [#permalink]

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New post 12 Sep 2008, 03:59
stallone wrote:
E

A cant be as :

suppose x=8 so average of x and 10 = 9 also if z=9 (as Z is closer to 10)

z=avg of x and 10 , hence insufficient .




In this example, z is equidistant from x as well as from 10.....whereas the stmt says that z should be closer to 10 than to x.

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Re: DS: Inequalities   [#permalink] 12 Sep 2008, 03:59
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