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# Is a nonzero integer Z prime? (1) |Z|^|Z|=4 (2) |Z^Z|=Z^2

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Joined: 05 Jul 2006
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Is a nonzero integer Z prime? (1) |Z|^|Z|=4 (2) |Z^Z|=Z^2 [#permalink]  11 Sep 2006, 09:10
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Is a nonzero integer Z prime?

(1) |Z|^|Z|=4
(2) |Z^Z|=Z^2
Director
Joined: 13 Nov 2003
Posts: 790
Location: BULGARIA
Followers: 1

Kudos [?]: 30 [0], given: 0

A) Z can be -2 or 2, so it may or may not be prime.
B) z=0 and z=2 satisfy B) provided that Z is a nonzero integer, B) is SUFF

B
GMAT Instructor
Joined: 04 Jul 2006
Posts: 1266
Followers: 24

Kudos [?]: 167 [0], given: 0

BG wrote:
A) Z can be -2 or 2, so it may or may not be prime.
B) z=0 and z=2 satisfy B) provided that Z is a nonzero integer, B) is SUFF

B

For (2), Couldn't z be 1? Also, as a side note, z cannot be zero
Director
Joined: 13 Nov 2003
Posts: 790
Location: BULGARIA
Followers: 1

Kudos [?]: 30 [0], given: 0

Agree kevinkan , If z=1 then B is true , so seems that C) is the solution.
FOr A and B 2 is a common solution, IMO it is C)
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