Other questions from R**L GRE Exam

[harbinger]

A number of scientists have published articles ------- global warming, stating ------- that there is no solid scientific evidence to support the
theory that the Earth is warming because of increases in greenhouse gases.
(A) debunking...categorically
(B) rejecting...paradoxically
(C) deploring...optimistically
(D) dismissing...hesitantly
(E) proving...candidly

5. The senator's attempt to convince the public that she is not interested in running for a second term is as -------- as her opponent's attempt to disguise his intention to run against her.
(A) biased
(B) unsuccessful
(C) inadvertent
(D) indecisive
(E) remote

[rumen]

B) for both

[sang]

I am confused between B and D for the first one.. Why is it paradoxically? Can you explain..
It is B for the second..

[nullywave]

for the first is A (paradoxically won't fit in the sentence and all the others just are unfit too)
the secon is B