Question

question: determine the correct definition of pagerank in the context of search engine technology.
the search relevancy of a page compared to the other pages in the search engine
the way google measures how popular a given page is based on the number and quality of sites that link to it.
the alexa technology for ranking pages.
the way yahoo! measures how popular a given page is based on the number and quality of sites that link to it.

Explanation:

PageRank is a Google - specific algorithm. It evaluates a page's popularity by considering the number and quality of links pointing to it. Yahoo! has its own ranking methods. Alexa also has a different approach for ranking pages. Search relevance (the first option) is a general concept about how well a page matches a search query, not PageRank.

Answer:

The way Google measures how popular a given page is based on the number and quality of sites that link to it.