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The statement "There is a Parliamentary System of Government in India because the Council of Ministers is responsible to the Lok Sabha" is correct.
In a parliamentary system of government, the Council of Ministers, also known as the executive branch, is responsible and accountable to the legislature. In India, the Council of Ministers is headed by the Prime Minister and is collectively responsible to the Lok Sabha, which is the lower house of Parliament. The Council of Ministers remains in power as long as it enjoys the confidence and support of the majority of the members in the Lok Sabha.
The other statements mentioned in the question are not directly related to the type of government system in India. While the Lok Sabha is elected directly by the people and Parliament can amend the constitution, these factors alone do not determine the type of government system. Similarly, the Rajya Sabha, which is the upper house of Parliament, not being dissolved does not define the parliamentary system of government in India.