The full-fledged Commonwealth Games were first organized in ____ at ____

The correct answer is: A. 1930; Hamilton in Canada.

The first full-fledged Commonwealth Games were held in Hamilton, Ontario, Canada from August 16 to August 23, 1930. The games were attended by 465 athletes from 11 countries. The games were originally called the British Empire Games, but the name was changed to the Commonwealth Games in 1970.

The other options are incorrect because:

• Option B is incorrect because the 1934 British Empire Games were held in London, England.
• Option C is incorrect because the 1932 Summer Olympics were held in Los Angeles, California, USA.
• Option D is incorrect because the 1936 Summer Olympics were held in Berlin, Germany.