Which of the following is ture ?

Options

A. The number of common roots of `z^(144) = 1 and z^(24) = 1` is 24
B. The number of common roots of `z^(360) = 1 and z^(315)= 1` is 45
C. The number of roots common to `z^(24) = 1, z^(20) = 1` and `z^(56) = 1` is 4
D. The number of roots common to `z^(27) = 1, z^(125) =1` and `z^(49) = 1` is 1

Answer

A, B, C, D

Explanation

Number of roots common to `z^(n_(1)) = 1 and z^(n_(2))= 1` is HCF `(n_(1),n_(2))`