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# If X, Y, Z are non-zero numbers, is the distance between Z and Y

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Retired Moderator
Joined: 22 Aug 2013
Posts: 1435
Location: India
If X, Y, Z are non-zero numbers, is the distance between Z and Y  [#permalink]

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26 Mar 2018, 04:41
00:00

Difficulty:

65% (hard)

Question Stats:

62% (01:23) correct 38% (01:30) wrong based on 31 sessions

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If X, Y, Z are non-zero numbers, is the distance between Z and Y on the number line, more than the distance between X and Y on the number line?

(1) Y is the smallest number among X, Y, Z.

(2) Out of X, Y, Z; only X is positive.
Senior Manager
Joined: 14 Feb 2018
Posts: 389
Re: If X, Y, Z are non-zero numbers, is the distance between Z and Y  [#permalink]

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26 Mar 2018, 04:57
According to statement 1, if Y< X<Z , then YES but if Y<Z<X, then NO.

Clearly insufficient.

According to statement 2, if Y<Z<X, then NO.
But if Z<Y<X then may be YES or may be NO... cannot say.
Insufficient again.

On combining, we get Y<Z<X and only X is positive.

Thus, option C is correct.

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Re: If X, Y, Z are non-zero numbers, is the distance between Z and Y   [#permalink] 26 Mar 2018, 04:57
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# If X, Y, Z are non-zero numbers, is the distance between Z and Y

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