The question given below consists of three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statements and answer the question. Seven persons Amit, Karan, Naveen, Poonam, Garima, Mayank and Aman participated in a Maths Olympiad and win different number of medals. Each person wins different number of medals, which is a whole number. What is the sum of number of medals Naveen and Karan  win? Statement I: Garima wins more medal than Aman and Poonam. Amit wins more medal than both Aman and Poonam but less medal than Garima. The one, who wins just more medal than Amit wins 10 medals. Karan wins 14 medals. The number of persons who wins more medals than Karan is same as the number of persons who wins less medals than Aman. Mayank wins three medals more than Garima. At least one person wins more medal than Karan. Statement II: Naveen wins more medal than Amit. Amit wins 9 medals which is 3 more than Poonam. Only four persons wins medals between Karan and Poonam. Mayank wins more medals than Garima. Statement III: Garima wins four medals more than Aman. Aman wins just less medal than Amit. The one, who wins just more medal than Karan wins 15 medals. Aman wins two medals more than Poonam. No one wins prime number of medals.

From statement I alone, 'Garima wins more medal than Aman and Poonam. Amit wins more medal than Aman and Poonam but less medal than Garima. The one, who wins just more medal than Amit wins 10 medals. Karan wins 14 medals. The number of persons who wins more medals than Karan is same as the number of persons who wins less medals than Aman. Mayank wins three medals more than Garima. At least one person wins more medal than Karan, we get: Case 1: Naveen > Karan (14) > Mayank (13) > Garima (10) > Amit > Aman > Poonam Case 2: Mayank > Karan (14) > Garima > Naveen (10) > Amit > Aman > Poonam So, from statement I alone, we cannot answer the above question. So, data given in statement I alone is not sufficient to answer the question. From statement III alone, Garima wins four medals more than Aman. Aman wins just less medal than Amit. The one, who wins just more medal than Karan wins 15 medals. Aman wins two medals more than Poonam. No one wins prime number of medals, we get: Garima > Amit > Aman > Poonam So, from statement III alone, we cannot answer the above question. So, data given in statement III alone is not sufficient to answer the question. From statement I and II together, we get: Case 1: Naveen > Karan (14) > Mayank (13) > Garima (10) > Amit (9) > Aman > Poonam (6) Case 2: Mayank > Karan (14) > Garima > Naveen (10) > Amit (9) > Aman > Poonam (6) So, from statements I and II together, we cannot answer the above question. So, data given in statements I and II together is not sufficient to answer the question. From statements II and III together, we get: Mayank (15) > Karan (14) > Garima (12) > Naveen (10) > Amit (9) > Aman (8) > Poonam (6) The sum of number of medals Naveen and Karan win = 10 + 14 = 24 So, data given in statements II and III together is necessary to answer the question.