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.
Thus, after the described movements, $F_4$ faces North-East.
Therefore, the correct answer is North-East.
Read the directions carefully and give the answer from the given options.
P, Q, R, S, T, K, L, M and N are sitting around a circle facing the centre.
K is $4^{th}$ to the right of P and P is $3^{rd}$ to the right of Q.
N is $4^{th}$ to the left of Q and $3^{rd}$ to the right of S.
R is $2^{nd}$ to the right of M and M is the immediate neighbour of P.
T is $2^{nd}$ to the left of L.
Who is to the immediate left of K?
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?
Six people, B, C, D, I, J and K, are sitting around a circular table facing the centre. Only two people sit between B and I when counted from the right of I. K sits to the immediate left of J. I sits to the immediate right of C. Who among the following are the immediate neighbours of D?
Each of P, Q, R, S, T, U and V has an exam on a different day of the week starting on Monday and ending on Sunday of the same week. V has an exam on Friday. Only two people have an exam between Q and V. Only four people have an exam between R and Q. S has an exam immediately after T. P does not have an exam on Monday. Who has an exam on Sunday?