I’m looking for a job and going for re-examination. The company also said that I can go for training in a few days, but I don’t want to go. How should I refuse?

Something at home is a universal excuse.

The HR department may try to ask you why you don’t go for training. As long as you insist that you have to give up such a good job opportunity due to family troubles recently, you can’t live without people.

You don’t need to explain too much to the company. You are not their employee, so you have no obligation to explain in such detail.