The two mixtures are called "P" and "Q." Only oil and

Solution

ATQ, Statement I: Total quantity of mixture ‘Q’ = 500 litres Quantity of oil in mixture ‘Q’ = (500 + 300)/2 = 400 litres Therefore, quantity of diesel in mixture ‘P’ = 400 – 240 = 160 litres Quantity of oil in mixture ‘P’ = 160 × (3/2) = 240 litres Therefore, statement I alone is sufficient to answer the question Statement II: Total quantity of mixture ‘P’ = 500/1.25 = 400 litres Quantity of oil in mixture ‘P’ = 400 – 160 = 240 litres Therefore, statement II alone is sufficient to answer the question. Statement III: The quantity of mixture ‘P’ is a multiple of 5. Therefore, data in statement III alone is not sufficient to answer the question. Statement IV: If the quantity of diesel in the mixture ‘P’ had been 100 litres more, then it would have been 52% of total quantity of the mixture ‘Q’ Therefore, desired quantity of diesel in mixture ‘P’ = 0.52 × 500 – 100 = 160 litres Therefore, data in statement IV alone is not sufficient to answer the question. Therefore, data in statement I and II alone is sufficient to answer the question while data in statement III and IV alone is not sufficient to answer the question.