Is an Intel core prossessor better than a quad core prossessor?
The question you're asking, unfortunately, is not worded
correctly. An Intel processor is a family of processor, where a
quad-core processor is a type of processor. The Intel family
includes many types of quad-core processors.
However, to try and disambiguate what you're asking, an Intel
core processor will be good, no matter what type it is. An Intel
quad-core processor - for example, the Intel i7 - will perform
fantastically well.
The other main type of processor manufacturer - AMD - also have
quad-core processors. However, a lot of it is down to opinion and
machine build as to whether Intel is better than AMD, but
personally, I believe Intel will out-perform and out-last an AMD
processor.