someone here really didn't tried to get help here, he just came to see if anyone else would agree with him.
Btw, you can have a "dead" motherboard with leds that turn on with a lot of different situations, one that is not as unlikely as many think, is a "spontaneously corrupted bios", almost all modern motherboards have a "embedded controller chip" that reads a small chunk of your bios code (we usually call this "ec bios" and it is a chunk of 4k or less of memory) and handles some basic functions of the pc EVEN when it is on standby.
common ec chip com "more modern motherboards": http://www.bizrice.com/upload/20120319/IT8752TE_electronic_ic_chips_laptop_motherboard_chip.jpg
common ec chip on "older" motherboards: http://invelox.com/invimgd/ICS952701BF.jpg
ever wondered how "wake on lan" works, if your cpu is off, but "something" let the ethernet port on and is listening for udp packets on port 7 ? it is this chip.
(other noticeable function is to program the motherboard to turn on at a specific time, the ec chip usually keeps polling the realtime clock and will "press the power button" by itself at the right time)
and yes, the "ec chip" also handles the "power button" function. so an ec that is not running correctly (by either missing correct code on the bios eeprom or even a damaged ec) probably will cause the "green led on the motherboard is on but the pc does not respond to the power button".
so in other words, some idiot is going to have a bad day when he founds out he got 2 good cpus and (likely) not a good power suply and/or motherboard.
a extra for anyone that got curious on "how bios can get corrupted randomly": eeproms usually have a "safe switch" to enable/disable modifications, and this switch is (on most eeproms) a minimum voltage threshold to accept "write" commands, in some cases a bad cpu can "send a voltage spike" that will be bad for the safety of the eeprom data, allowing a "small window of time" that the eeprom contents can actually modify. (familiar since the guy that starter the thread mentioned a bad previous psu, right?)