For the following questions answer them individually
If ABCD is a Cyclic Quadrilateral ,then the value of $$\cos^2 A - \cos^2 B - \cos^2 C + \cos^2 D$$ is:
Select the option that will correctly fit in the blank space in the given figure series.
Two pipes A and can fill an empty cistern in 18 and 27 hours, respectively. Pipe C can drain the entire cistern in 45 hours when no other pipe is in operation. Initially, when the cistern was empty Pipe A and Pipe C were turned on. After a few hours Pipe A was turned off and Pipe B was turned on instantly. In all, it took 55 hours to fill the cistern. For how many hours was Pipe B turned on?