Which of the following events caused the british government to dissolve the east india company and to take over the direct rule of india?
a. the killing of protesters at amritsar
b. the fall of the mughal empire
c. the sepoy rebellion
d. the creation of the indian national congress and the all-india muslim league

It was the Sepoy Rebelion - this rebellion was a fight against the rule of the British in India and it took place in 1857-1858.
The British Raj was established as a consequence, to prevent future rebellions.
 

All the other events are from a different time, for example, the creation of the Indian National Congress and the All-India Muslim League  were events that led to independence in 1947.

The correct answer is b.hope this vote me   : p