In a mixture of oil and ghee, the quantities of oil and ghee are 'x' L and 'y' L respectively where the value of x is the root of (\( \sqrt{225} + \sqrt{x+13} = \sqrt{484}\)) and y is the root of (2y² - 10y - 168 = 0). When ‘B’ litre of the mixture is replaced with ‘D’ litre of ghee, the ratio of oil and ghee in the mixture becomes 9:5. If the ratio of ‘B’ to ‘D’ is 2:1, then find which of the following statements is/are not true?

I) The new quantity of the mixture becomes 3B litre.

II) The value of (B² - D²) is divisible by 27.

III) (B + D) > 16.