Respected Ma'am,

Yes, your son can get a government engineering college through the MHT CET exam. But as you said that your son studied the next two years after 10th std. in Bengaluru so, it depends upon his 12th board whether it is of Karnataka Board or Maharashtra Board.

If your son studied 12th std. in Maharashtra Board, then he can get admission to the government colleges in Maharashtra state through the MHT CET exam. But if your son studied 12th board in Karnataka board then he will have to give Karnataka UGCET exam to get admission in the government colleges of Karnataka state.

I hope the above answer clarifies your query.