Seating Arrangements — Prelims Questions

Eight people A, B, C, D, E, F, G, and H are sitting around a circular table facing the center. A sits third to the right of B. C sits second to the left of A. D sits opposite to C. E sits immediately to the right of D. F does not sit next to A. G sits second to the right of F. Where does H sit?

Six friends P, Q, R, S, T, and U are sitting in two parallel rows of three each, facing each other. P sits in the middle of one row. Q sits at one end of the other row. R sits opposite to P. S does not sit at any end position. T sits second to the right of S. Where does U sit?

In a linear arrangement of seven people A, B, C, D, E, F, and G, the following conditions apply: A sits at one of the ends. B sits exactly in the middle. C sits second to the right of A. D sits immediately to the left of B. E does not sit next to C. F sits at the other end. How many people sit between E and G?

Five couples are seated around a circular table such that no two men sit together and no two women sit together. If Mr. A sits second to the right of Mrs. B, and Mrs. A sits opposite to Mr. B, then Mrs. C sits:

In a row of 12 seats numbered 1 to 12 from left to right, six people A, B, C, D, E, and F are seated such that no two people sit in adjacent seats. A sits in seat 3. B sits in seat 8. The number of possible seating arrangements for the remaining four people is: