Nope, it is hot means that processor is getting some voltage, but it still doesnt prove what is faulty.
How have you narrowed down it to motherboard or the processor. What is is the original problem?(the problem might be that you forgot to press the on button for all we know)
provide us with further details to help you with..
IF you have manufacturers guarantee, and these component aren't functioning properly than i would suggest you return these component and ask for new component or cash-back.