In the context of calculating the National Income of India, the following items are typically included:

(B) Payment of Income Tax: This represents a component of government revenue and is included in the national income as it reflects the government's income.

(D) Profits earned by an Indian company from its branch in France: This represents a part of the earnings of an Indian company, and it contributes to the national income.

(E) Purchase of a television set by a consumer household: This is a component of consumption expenditure and is part of the Gross Domestic Product (GDP), which is a key component of the national income calculation.

The other options:

(A) Donations given to a religious institution: This represents a transfer of funds and is not considered part of the national income.

(C) Scholarship given to students: Scholarships are also considered transfers and are not part of the national income.

So, the correct answer is (3) (D) and (E) Only.