Order: P < Q < R, and T < U. With S between them: P-Q-R-S-T-U. S is at position 4 in a 6-box arrangement, making it central

Pattern: ×2+1: 5×2+1=11, 11×2+1=23, 23×2+1=47, 47×2+1=95, 95×2+1=191

In a circle of 4: Aman opposite Charu. Bina right of Aman. Then Deepak must be left of Aman (or equivalently, between Aman and Charu on left side)

If all animals are living things and some cats are animals, then logically some cats must be living things. This is a valid syllogistic conclusion

From 'All doctors are professionals' and 'Some professionals are ethical', we cannot definitively conclude anything about the relationship between doctors and ethical people, as the 'some professionals' may or may not include doctors.

Pattern: (1×2)+1=3, (3×2)+1=7, (7×2)+1=15, (15×2)+1=31, (31×2)+1=63. The next term is 63.

D is between A and E means either A-D-E or E-D-A. B is between E and C means E-B-C. Combining: A-D-E-B-C satisfies both conditions.

If X is father of Y, and Y is brother of Z, then Z must be a child of X. Since Y is Z's brother, Z shares the same parents as Y. Therefore, X is the father of Z.