please help, no need for any explanation, just abcd questions

1. Single-Choice Questions (310=30 points ). (1) Among the following four choices, which one is false ( denotes logical equivalence ) ? ( ) A. (pq)rp(qr). B. (pq)pq1. C. (pq)q0. D. (pq)r(pr)(qr). (2) Among the following four choices, which one is false ( denotes logical equivalence, and the same domain is used throughout)? ( ) A. xP(x)xP(x). B. x(P(x)Q(x))xP(x)xQ(x). C. x(P(x)Q(x))xP(x)xQ(x). D. x(P(x)Q(x))xP(x)xQ(x). (3) Let S and T be two sets. If ST=, then we have A. T=; B. T=; C. ST; D. T=S (4) Which one has the different cardinality from N (the set of natural numbers)? A. Q (the set of rational numbers). B. Z (the set of integers). C. R (the set of real numbers). D. Q-N. (5) A={a,b,c,d,e}, and R is a binary relation on P(A) (the power set of A ), and R={xP(A),yP(A), and xy=}.R is A. reflexive. B. transitive. C. symmetric. D. antisymmetric