The only daughter of my mother = myself. So his mother is the woman. Therefore, the man is her son.

A is brother of B, B is sister of C (so A and C are siblings), C is mother of D. Therefore A is uncle of D.

P is male (father). T is male (brother). R's gender unclear. S's gender unclear. Q is female (mother). Insufficient information.

My mother's only son = myself (Arun). So the person is the son of Arun = Arun's son.

All roses are flowers (true). Some flowers are red (true). But this doesn't guarantee roses are among those red flowers.

All doctors are professionals (given). Some professionals are not ethical (given). But it's possible that the unethical professionals are not doctors. Conclusion cannot be determined.

E is married to C. C is the child of A and B. B is the mother of C. Therefore, B is the mother-in-law of E.

The conclusion does not follow logically. Some electronic devices being expensive doesn't guarantee smartphones are included in that some.

X is sister of Y. Y is brother of Z (so Z is also sibling of X). Z is father of W. Therefore, X is aunt of W.

Odd values: 13(M), 21(U), 15(O), 1(A), 9(I) = 5 letters with odd position values.