Can we repeat same keyword on different pages? For example a site has tv show "example" and I am adding its 10th episode so will go with "example episode 10" keyword. Can I use the same "example" keyword on all episodes (on different pages/URLs) of the show?
Not only can you, you should have many pages that repeat the important keywords.
A site with only one page on a topic is not going to be able to cover that topic well. Good sites are comprehensive. They cover all aspects of a topic. That necessarily means using the keywords for the topic on many pages.
That isn't to say that you should create content just for the purpose of using keywords on many pages. Write as much about a subject as that subject warrants. Some subjects may require 5 pages and some may require 500. Users value sites that explain the topic as simply as possible, but still have enough depth using language that a lay person can understand. Avoid repetition and keyword stuffing that make your site look spammy and written only for search search engines.