TASK DEFINITION: You will be given a trivia clue, and the category it belongs to. You should answer with the best answer that belongs in the category and is described by the clue. For simplicity, answers should be in all lower cased letters.
PROBLEM: Category: U.S. GEOGRAPHY 
Clue: Of the USA's 50 tallest peaks, all are in Alaska, Colorado & California except this peak

SOLUTION: mt. rainier

PROBLEM: Category: AMERICAN MOUNTAINS 
Clue: Of the more than 80 U.S. peaks over 14,000' that have names, most are in this state

SOLUTION: colorado

PROBLEM: Category: STATE FACTS 
Clue: This state & its capital were named for 2 dukedoms held by the same British man

SOLUTION:
new york