The questions given below contain three statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? What will be the difference between the ages of P and Q after 6 years? I. The ratio between the present ages of P and Q is 3 : 5. II. The ratio between P’s present age and his age after 6 years is 3 : 4 III. The ratio between Q’s present age and his age after six years is 5 : 6

To find the difference between ages of P and Q after 6 years, we need their present ages. Statement II gives P's present age: ratio 3:4 means P's age after 6 years is 4/3 times present, so P's present age = 18 years. Statement III gives Q's present age: ratio 5:6 means Q's age after 6 years is 6/5 times present, so Q's present age = 30 years. Difference = 12 years now and 12 years after 6 years. Statement I alone gives the ratio but not actual ages. I and II together give only P's age, I and III together give only Q's age. Only II and III together give both ages.