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x y z are Three integers is x>y>z? 1)

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studentnow
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x y z are Three integers is x>y>z? 1) [#permalink] New post   16 Sep 2007, 18:24
x y z are Three integers is x>y>z?


1) |z-x|=|z-y|+|y-z|


2) z>x



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Re: x y z are Three integers is x>y>z? 1) [#permalink] New post   16 Sep 2007, 19:37
studentnow wrote:
x y z are Three integers is x>y>z?

1) |z-x|=|z-y|+|y-z|
2) z>x


should be B. if z > x, then definitely x>y>z.
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Re: x y z are Three integers is x>y>z? 1) [#permalink] New post   16 Sep 2007, 19:40
Fistail wrote:
studentnow wrote:
x y z are Three integers is x>y>z?

1) |z-x|=|z-y|+|y-z|
2) z>x


should be B. if z > x, then definitely x>y>z.


How?

If Z > X then how would X > Y > Z ?

- Brajesh
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Re: x y z are Three integers is x>y>z? 1) [#permalink] New post   16 Sep 2007, 20:17
If z = x+2, y = x+1, then

St1:
|z-x| = |z-y| + |y-z|
|x+2-x| = |x+2-x-1| - |x+1-x-2|
|2| = |1| + |1|

If z = x-2, y = x-1, then
|z-x| = |z-y| + |y-z|
|x-2-x| = |x-2-x+1| + |x-1-x+2|
|-2| = |-1| + |-1|

So can be x > y > z, or x < y <z>x. Nothing else about y. x could be = y, or <y> y. Insufficient.

St1 & St2:
z = x+2, y = x+1, then |z-x| = |z-y| + |y-z| ( x < y < z)
Only x<y<z yields a solution that fit st1 and st2. The rest do not yield such a solution.

Ans C
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Re: x y z are Three integers is x>y>z? 1) [#permalink] New post   16 Sep 2007, 22:11
b14kumar wrote:
Fistail wrote:
studentnow wrote:
x y z are Three integers is x>y>z?

1) |z-x|=|z-y|+|y-z|
2) z>x


should be B. if z > x, then definitely x>y>z.


How?

If Z > X then how would X > Y > Z ?

- Brajesh


if z>x, then x cannot be grater than z. so suff...

do not need st. 1.
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Re: x y z are Three integers is x>y>z? 1) [#permalink] New post   16 Sep 2007, 22:17
Fistail wrote:
b14kumar wrote:
Fistail wrote:
studentnow wrote:
x y z are Three integers is x>y>z?

1) |z-x|=|z-y|+|y-z|
2) z>x


should be B. if z > x, then definitely x>y>z.


How?

If Z > X then how would X > Y > Z ?

- Brajesh


if z>x, then x cannot be grater than z. so suff...

do not need st. 1.


You said:

if z > x, then definitely x>y>z

I thought you were saying that if z > x then x>y>z would be true.
However, I think you meant to say that x>y>z would not be true....ST2 is sufficient to answer the question.....That is what you meant...Right?

- Brajesh
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Re: x y z are Three integers is x>y>z? 1) [#permalink] New post   16 Sep 2007, 23:55
studentnow wrote:
x y z are Three integers is x>y>z?


1) |z-x|=|z-y|+|y-z|


2) z>x


I get D.

Start w/ S2. S1 looks ugly.

z>x, well then x>y>z can't be true.


S1.
z-x=z-y+y-z---> z-x=0. z has to equal x.

-z+x=-z+y -y+z. -z+x=0---> x-z=0 x=z.
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Re: x y z are Three integers is x>y>z? 1) [#permalink] New post   Updated on: 17 Sep 2007, 04:50
[quote="studentnow"]x y z are Three integers is x>y>z?


1) |z-x|=|z-y|+|y-z|


2) z>x[/quote]

I think it is E

1) |z-x|=|z-y|+|y-z| => |z-x|=|z-y|+|z-y|=2|z-y|=>there are many combinations=>insufficient
2) z>x=>insufficient
1&2) z-x=2|z-y|=> a) z-x=2z-2y=>x=2y-z or b) x-z=2z-2y=>x=z-2y we have at least two combinations=> so insufficient

Changed my opinion to B

Originally posted by Vlad77 on 17 Sep 2007, 03:08.
Last edited by Vlad77 on 17 Sep 2007, 04:50, edited 1 time in total.
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Re: x y z are Three integers is x>y>z? 1) [#permalink] New post   17 Sep 2007, 04:18
Should be 'B'

stmt1: INSUFF
take x =5 , y =3, z =1 satisfies stmt1
x=-3 , y =3, z=1 also satisfies stmt1

Stmt2; suff
as Z>x, this means that x>y>z can never be true.
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Re: x y z are Three integers is x>y>z? 1) [#permalink] New post   17 Sep 2007, 04:38
I will go with B as well. What is the OA.
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Re: x y z are Three integers is x>y>z? 1) [#permalink] New post   17 Sep 2007, 09:50
vshaunak@gmail.com wrote:
Should be 'B'

stmt1: INSUFF
take x =5 , y =3, z =1 satisfies stmt1
x=-3 , y =3, z=1 also satisfies stmt1

Stmt2; suff
as Z>x, this means that x>y>z can never be true.



oops ya change to B from D
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Re: x y z are Three integers is x>y>z? 1) [#permalink] New post   17 Sep 2007, 10:43
b14kumar wrote:
Fistail wrote:
b14kumar wrote:
[quote="Fistail"][quote="studentnow"]x y z are Three integers is x>y>z?

1) |z-x|=|z-y|+|y-z|
2) z>x


should be B. if z > x, then definitely x>y>z.


How?

If Z > X then how would X > Y > Z ?

- Brajesh


if z>x, then x cannot be grater than z. so suff...

do not need st. 1.[/quote]

You said:

if z > x, then definitely x>y>z

I thought you were saying that if z > x then x>y>z would be true.
However, I think you meant to say that x>y>z would not be true....ST2 is sufficient to answer the question.....That is what you meant...Right?

- Brajesh[/quote]

thats absolutely right.



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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Re: x y z are Three integers is x>y>z? 1) [#permalink]
17 Sep 2007, 10:43
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