GPREP DS#20

[hardikrs]

if Z^n = 1, what is the value of Z

1. n is a nonzero integer.

2. Z > 0

using I, Z has to be equal to 1 for the given condition to staisfy --- so sufficient. but OA is

SPOILER: C

Please explain your answer.

Thanks,

[eravi11]

please refer to OG11, #126

[finsisher]

stmt1, Z can be -1 or 1 in n not equal to zero

stmt2 z can be any thing if n = 0

combining z = 1 hence C

[clock60]

agree with C
z^n=1
z^0=1
1^2=1 (n even)
(-1)^2=1 (n even)
(1) n is not zero so n can be 2 or any even integer, in this case we have at least two values for Z
z=1. or z=-1 so insufficient
(2) z>0 but z can be any value in case if n=0
together
n not 0 and z>0 so 1^n=1 sufficient