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If x is not equal to 0 and x^y=1, then which of the followin

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If x is not equal to 0 and x^y=1, then which of the following must be true?

I. x=1
II. x=1 and y=0
III. x=1 or y=0

A. I only
B. II only
C. III only
D. I and III only
E. None

[Reveal] Spoiler:
Answer is None of the Above, According to me III option should be correct. Because if X=1 or Y=0 satisfies the given condition in all circumstances.

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