Name the Governor General who decided that the rulers of the dependent states would have to seek permission of the British to adopt an heir to the throne.

James Broun-Ramsay or Lord Dalhousie

Explanation:

Lord Dalhousie was a Governor General of India when it was under the rule of the British and widely pursued the "Doctrine of Lapse'". By this doctrine, the British were to be consulted when a monarch of a dependent state wanted to pass on leadership to an heir.

The British were to decide if the heir was competent enough to take the throne and if the British ruled that they weren't, the state would see its leadership lapsed and the British would take over to administer it.

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during the 20th century, the role of the vice president has evolved into more of an executive branch position. now, the vice president is usually seen as an integral part of a president's administration and presides over the senate only on ceremonial occasions or when a tie-breaking vote may be needed.