Four males $M_1, M_2, M_3, M_4$ and four females $F_1, F_2, F_3$ and $F_4$ are sitting around a round table facing away from the table, as shown in the figure. If each one moves three positions to his/her right and then one position to the left, then in which direction does $F_4$ face? 
The problem involves determining the final position of a person after they move according to specific instructions around a circular arrangement. Given the initial positions, each person moves three positions to their right and then one position to their left. We need to determine the final direction in which $F_4$ faces.
Initially, the seating arrangement around the circular table is as follows:
Let's define the positions in the circle based on compass directions where $N$ is top, $E$ is right, $S$ is bottom, and $W$ is left.
- $F_4$ starts at the position facing West ($W$).
- Each person moves three positions to their right:
- From $W$ (1st move) -> $N$ (2nd move) -> $E$ (3rd move) -> $S$
- Then each person moves one position to their left:
- From $S$, move one position left -> ends facing North-East ($NE$)
Thus, after the described movements, $F_4$ faces North-East.
Therefore, the correct answer is North-East.
Important Questions from Seating Arrangement (Notes)
- Five friends are sitting on a bench in the following order :
(i) P is sitting next to Q and R is next to S.
(ii) S is not sitting with T; T is on the extreme left hand side of the bench and R is on second position from the right hand side.
(iii) P is on the right hand side of Q and to the right side of T. (iv) P and R sitting together
Who is sitting exactly in the middle ? Seven people, C, D, E, F, L, M and N, are sitting in a row, facing north.
Only two people sit to the right of C. Only two people sit between C and L. Only two people sit between E and N. N sits to the immediate left of C. M sits to the immediate right of F. Who sits at the third position from the left end of the row?- Seven people, A, B, C, D, E, F and G, are sitting in a row, facing north. Only three people sit between E and D. A sits to the immediate left of D. No one sits to the right of B. Only two people sit between B and A. G sits to the immediate right of F. How many people sit to the right of F?
Seven boxes, A, B, C, D, E, F and G, are kept one over the other but not necessarily in the same order. Only A is kept above F. Only D is kept between F and C. Only E is kept below B. How many boxes are kept below C?
P, Q, R, S, T, U and V are sitting in a row, facing north. No one sits to the left of U. Only four people sit between U and R. Only three people sit to the right of V. P sits to the immediate left of S. Q is not an immediate neighbour of V. How many people sit between P and T?
