For QA jobs - I think if you take training at the consultancy, you would be able to start.  

To learn programming, start with site like codeacademy.com. Learn the fundamentals of object oriented programming. Learn to write sql queries and stored procedures. Learn the basics of html,css, javascript and jquery. 

If you are really serious and want to invest in harnessing your programming skills, look at the site like pluralsight.com (this one is really good), udemy.com,  linda.com .  And, remember there is always youtube.com which is always free.