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If x is a positive number less than 10, is z greater than

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VP
Joined: 30 Jun 2008
Posts: 1033

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

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12 Oct 2008, 00:06
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If x is a positive number less than 10, is z greater than the average (arithmetic mean) of x and 10 ?

1) On the number line, z is closer to 10 than it is to x.

2) z = 5x

I'd appreciate if someone could show me an algebraic or conceptual approach rather than plugging numbers.
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"You have to find it. No one else can find it for you." - Bjorn Borg

Kudos [?]: 710 [0], given: 1

Manager
Joined: 10 Aug 2008
Posts: 74

Kudos [?]: 13 [1], given: 0

Re: DS : Number line [#permalink]

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12 Oct 2008, 04:04
1
KUDOS
stat 1
------

if z is Mean of x & 10, than z is equally distant from both. But now z is closer to 10 that means z is greater than mean.

stat 2
------

z = 5x , not conclusive

So ans shold be A)

Kudos [?]: 13 [1], given: 0

SVP
Joined: 05 Jul 2006
Posts: 1751

Kudos [?]: 432 [0], given: 49

Re: DS : Number line [#permalink]

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12 Oct 2008, 07:57
amitdgr wrote:
If x is a positive number less than 10, is z greater than the average (arithmetic mean) of x and 10 ?

1) On the number line, z is closer to 10 than it is to x.

2) z = 5x

I'd appreciate if someone could show me an algebraic or conceptual approach rather than plugging numbers.

X<10

IS 2Z> X+10

FROM 1

0....X..........Mean.........Z...10

thus whatever x is the mean between x and 10 is in the middle distance , and as z is closer to 10 thus it is sure bigger.....suff A

FROM 2

Z= 5X

QUESTION BECOMES

IS 10X> X+10

IS 9X>10

IE: IS X>10/9????........WE CAN NEVER KNOW

A

Kudos [?]: 432 [0], given: 49

VP
Joined: 30 Jun 2008
Posts: 1033

Kudos [?]: 710 [0], given: 1

Re: DS : Number line [#permalink]

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12 Oct 2008, 08:33
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Kudos [?]: 710 [0], given: 1

VP
Joined: 17 Jun 2008
Posts: 1374

Kudos [?]: 406 [0], given: 0

Re: DS : Number line [#permalink]

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12 Oct 2008, 10:52
amitdgr wrote:

Even i got A
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cheers
Its Now Or Never

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Re: DS : Number line   [#permalink] 12 Oct 2008, 10:52
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If x is a positive number less than 10, is z greater than

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