Building a list of names based on intersections

Say I have a spreadsheet showing constuction workers and the skills they possess:

Name	Paint	Drywall	Carpet
John	Y	N	?
Jane	Y	Y	?
Jim	N	Y	Y
Tim	N	?	N
Tom	?	N	Y

I would like some help figuring out ways to build answers to questions about data in the matrix:

For example:

Give me a list of everyone who can paint:	John, Jane
Give me a list of who needs training in how to Drywall?	John, Tom
What skills information are we missing?	Can Tom Paint? Can Tim Drywall? Can John and Jane Carpet?

Of course, the actual matrix is a hundred people deep and about 100 jobs across... so finding a reliable way to build lists that answer key questions like ones above is really important to how we staff our department.

I've tried using intersect, lookup, and some other funcitons... but can't seem to get the right combination of techniques. I could use some guidance!

Thanks for any help you can provide.

- rocketeer76