The correct option is C E
Using the three clues we get the following pairings:
P - B - Not April or May
Q - A - March
R - Not C or D - January
Put them together to get the following table.
ABCDEQP RMarchFebruary January
This leaves S and T to be teaching either C or D and either in April or May.
In January, Course E is taught. Option (c) is correct.