The correct option is
C Q-P-R-S
The first statement in the sequence should be the one that best connects with the first line. It must be a continuation or extension of the first line.
Q is first in the sequence: Among the given choices Q best begins the discussion. Although R can begin (as given in option D), Q does not follow it. Since there are no other options fit to begin, Q is first. Thus, the line begins with 'immediately'.
Q is followed by P: P directly continues after Q. Thus, the line becomes 'Immediately after his arrival'.
P is followed by R: R tells us what happened after his arrival. It says that after his arrival he began to do something.
R is followed by S: S tells us what he began to do. It says that he began to quarrel with his wife.
Finally, the correct line is 'Immediately after his arrival he began to quarrel with his wife'.
Thus, the correct sequence is Q P R S. Hence, C is the correct option.