Questions

Facilitate means assist someone in their progress or work. Here Help is the only word which is similar in meaning with facilitate. Halt and check are antonyms i.e opposite in meaning of facilitate. 

Hence, facilitate is similar in meaning to help.

August Weismann cut off the tails of mice for 21 successive generations and still they produced generation after generation of only tailed young ones. So he concluded that acquired characters are not inherited.

India's most consistent middle-order batsman Cheteshwar Pujara stormed his way into record books after playing a marathon innings against Australia on fourth day of the third Test match
surpassing Rahul Dravid previous best of 495 balls. 

Consent of the People means the Majority of People, as expressed by votes in elections.

Consent of the governed refers to the idea that a government's legitimacy and moral right to use state power is only justified and lawful when consented to by the people or society over which that political power is exercised.