The Kothari Commission was appointed by the Government of India to look into the education sector of India in 1964. This makes Option 4 the correct answer. Let`s consider the other options as well.

Option 1 suggests the year 1967. This is incorrect as the commission had already started its work by this time.

Option 2 suggests 1966, which is also incorrect. By this year, the Kothari Commission was already in operation and its education policy recommendations were under consideration.

Option 3 suggests 1965, which is not correct either. The Kothari Commission was appointed in the previous year, 1964.

So, the correct answer is Option 4, which claims that the Kothari Commission was appointed in 1964.