Question

In electrolytic cell, cathode is positive electrode

Answer 1

Hello friend...

Whether an electrolytic cell or galvanic cell. 
Reduction (Gain of electrons) occurs at the Cathode (by definition).

Now in a galvanic cell, the redox reaction happens spontaneously (without outside power). i.e. the electrode that the negative electrons move towards is defined as the Cathode and positive (as naturally they attract electrons.)

Now in an electrolytic cell, electrons ARE FORCED (via a voltage) to be reduced at the cathode. In this case the the cathode is negative as a force is required to push the electrons.

For example:


In this Daniell Cell, Copper is ALWAYS POSITIVE, and the Zinc is AWALYS NEGATIVE. The natural (spontaneous) reaction is for the Copper to act as the cathode (Reduction). However by providing a voltage, such as in electrolysis, the Zinc is forced to become the Cathode. However the charge has always naturally been negative (in Zincs case).

I hope this makes sense - Didn't have much time to write this, got a flight to catch!

Hope this helps you...