The correct option is A None of these
Solve this question by substitution.
Let P = 2, Q = 3 and x = y = 1.
Then LCM of two numbers A and B = 6
So the possible set of values for A and B are (1,6); (2,3); (3,2); (6,1) = 4 ways.
None of the options gives 4 on substituting values of x and y.
Hence, option (d) is the correct answer.