Let  $z_k=\cos \left(\frac{2k\pi }{10}\right)+i\sin \left(\frac{2k\pi }{10}\right);k=1,2,\mathrm{......},9$

List-I		List-II
(P)	For each zk there exists a zj such that $z_k.z_j=1$	(1)	True
(Q)	There exist a $k\in \{1,2,\mathrm{.....9}\}$ such that $z_1.z=z_k$ has no solution z in the set of complex numbers	(2)	False
(R)	$\frac{|1-z_1||1-z_2|\mathrm{........}|1-z_9|}{10}$ equals	(3)	1
(S)	$1-{\sum }_{k=1}^9\cos \left(\frac{2k\pi }{10}\right)$equals	(4)	2
		(5)	Cannot be decided