People should really be more specific with their questions. What does your question tell any outsider, what your situation is?
1) How did techsupport test your machine so they know it's motherboard, or did they just assume so through telephone?
2) Don't you believe them or why did you change DIMMs?
3) How do you know there was a problem with previous DIMMs?
4) Is this a new thing or something that just began?
5) Is the computer new, old, bought as used?
6) What are you specs (precisely, be exact)
7) What do you do with machine when symptoms appear?