Will an LGA775 Pentium 4 650 (3.40ghz + Hyperthreading) cpu work in a present-day LGA 775 mobo that uses DDR3 or DDR2?

Yes, it will work with an LGA 775 motherboard that supports 800 MHz FSB and Pentium 4. It is usually mentioned what hardware the motherboard supports on its box. But, I suggest you to upgrade the CPU as well.

If you don't want to spend too much money, try AMD products. They offer better performance for money.

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