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Is x > y > z ? (1) x, y, and z are consecutive integers. (2) nx > ny >

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Is x > y > z ? (1) x, y, and z are consecutive integers. (2) nx > ny >  [#permalink]

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New post 20 Aug 2016, 08:38
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A
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E

Difficulty:

  25% (medium)

Question Stats:

63% (00:52) correct 37% (00:40) wrong based on 92 sessions

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Is x > y > z ?

(1) x, y, and z are consecutive integers.
(2) nx > ny > nz, where n is an integer.
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Re: Is x > y > z ? (1) x, y, and z are consecutive integers. (2) nx > ny >  [#permalink]

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New post 20 Aug 2016, 10:17
HARRY113 wrote:
Is x > y > z ?
(1) x, y, and z are consecutive integers.
(2) nx > ny > nz, where n is an integer.


Answer is E.

Option 1 : x, y, and z are consecutive integers.

Say, x=2,y=3 and z=4. TRUE
BUT Say, x=-1,y=0 and Z=1-- FALSE

-- INSUFFICIENT

Option 2 : nx > ny > nz, where n is an integer.

Say n is positive. TRUE

BUT say n is negative -- FALSE

-- INSUFFICIENT

Combining : Again we cannot have a definite answer as we donot know the sign of n. Hence , INSUFFICIENT
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Re: Is x > y > z ? (1) x, y, and z are consecutive integers. (2) nx > ny >  [#permalink]

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New post 03 Oct 2017, 13:29
St 1: x,y and z are consecutive.
But we don't know the order of terms: can be x,y,z or z,y,x. What is the first term? so NOT SUFF

St 2: nx> ny > nz
I admit I was very tempted to pick B.
But is nx> ny --> x can be greater than y
and ny> nz --> y can be greater than Z.
But is x > z? I wasn't sure. In case the signs reverse or we plug numbers x may or may not be more than z.

So picked E.
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Re: Is x > y > z ? (1) x, y, and z are consecutive integers. (2) nx > ny >  [#permalink]

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New post 03 Oct 2017, 22:56
HARRY113 wrote:
Is x > y > z ?
(1) x, y, and z are consecutive integers.
(2) nx > ny > nz, where n is an integer.


Its a very simple question.

Given x,y,z
DS : x>y>z

Statement 1 : x, y, and z are consecutive integers. Doesn't matter as we don't know the order of the numbers
So, x>y>z, x>z>y, y>x>z,y>z>x, z>y>x, z>x>y .. Any of the options might be possible.
NOT SUFFICENT

Statement 2: nx>ny>nz .. which tells us that x>y>z if n>0
and x<y<z if n<0.
NOT SUFFICIENT
n=0 is not possible.

Answer E
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Re: Is x > y > z ? (1) x, y, and z are consecutive integers. (2) nx > ny > &nbs [#permalink] 03 Oct 2017, 22:56
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