An elected leader in a parliamentary democracy is called a

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The proper answer to this question is "a Prime Minister". 

Reason:

A Prime minister is kind of like a president but for a different type of government which is the parliamentary democracy. This type of government takes place in most foreign country for example: Asia has a prime minister. Are government is called a democracy which is a another type of government world leaders have.

Therefore the answer is Prime Minister. 

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Hope this helps!

~Nonportrit