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# If |x-1| = |1-x|, which of the following CANNOT be the value

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Senior Manager
Joined: 19 Feb 2004
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Location: Lungi
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If |x-1| = |1-x|, which of the following CANNOT be the value [#permalink]  19 Feb 2004, 07:58
If |x-1| = |1-x|, which of the following CANNOT be the value of x?
a. -1
b. -0.5
c. 0
d. 0.75
e. x can be any number.
Senior Manager
Joined: 05 Feb 2004
Posts: 291
Location: USA
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Kudos [?]: 3 [0], given: 0

Is it E
Senior Manager
Joined: 11 Nov 2003
Posts: 355
Location: Illinois
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Kudos [?]: 0 [0], given: 0

What kind of question is this? It is asking for the value of X that is not possible. While all the first 4 choices can be the value of X and in fact X can have any value, then how the question is asking for impossble value of X?
Senior Manager
Joined: 19 Feb 2004
Posts: 415
Location: Lungi
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Kudos [?]: 5 [0], given: 0

the correct ans is E.
because |a-b| = |b-a|, |x-1| = |1-x| => |x-1|= |x-1|. Hence, x can be any number.

rgds,
batli
Senior Manager
Joined: 11 Nov 2003
Posts: 355
Location: Illinois
Followers: 1

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

batliwala wrote:
the correct ans is E.
because |a-b| = |b-a|, |x-1| = |1-x| => |x-1|= |x-1|. Hence, x can be any number.

rgds,
batli

The question should have been worded as "which of the following CAN be the value of X?"

or

In its existing form, one of the possible choices should have been "NONE" and that would have been correct answer for the question.
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