The question consists of two statements numbered "I and II" given below it. You have to decide whether the data provided in the statements are suicient to answer the question. A mixture consists of 25 litres of water and 'n' litres of honey. Determine the total volume of the mixture. Statement I: After adding (n - 50) litres of water to the mixture, the ratio of honey to water becomes 3:2. Statement II: After removing 20 litres from the mixture, the amount of honey left is 60 litres.

Total volume of the mixture = (n + 25) litres Statement I: (25 + n - 50) : n = 2 : 3 => 3 × (n - 25) = 2n => 3n - 75 = 2n => n = 75 Total volume of the mixture = 75 + 25 = 100 litres Hence, Statement I alone provides enough data to answer the question. Statement II: Initial ratio of milk to the total mixture = n / (n + 25) After removing 20 litres of mixture: Remaining volume = n + 5 litres Remaining quantity of milk = 60 litres New milk ratio = 60 / (n + 5) So, n / (n + 25) = 60 / (n + 5) ⇒ 60n + 1500 = n² + 5n ⇒ n² - 55n - 1500 = 0 ⇒ n² + 20n - 75n - 1500 = 0 ⇒ n(n + 20) - 75(n + 20) = 0 ⇒ (n - 75)(n + 20) = 0 So, n = 75 (since n cannot be negative) Total volume = 75 + 25 = 100 litres Thus, Statement II alone is also sufficient. Final Conclusion: Either Statement I alone or Statement II alone is sufficient to determine the total quantity of the mixture.