Directions: Study the following information carefully and answer the questions given beside:
Seven students – Arun, Ramesh, Sumit, Karan, Puneet, Naveen and Manish were ranked one above the other. Each of these students scored different number of marks in mathematics ranging from 10-90. The rank of these students was determined on the basis of total marks therefore it might be possible that the student to have less marks in mathematics but was ranked above the student who scored better marks than him.
Not more than four students were ranked above Arun. Two students were ranked between Arun and the student who scored 41 marks, who was ranked below Box Arun. Marks scored by Karan were thrice the number of marks scored by Ramesh. Sumit scored 50 marks and was not ranked at the top. The number of marks scored by Manish was a perfect cube of a number. Only one student was ranked between the students who scored 41 marks and 39 marks. Karan has scored less number of marks than Arun. One of the students scored 78 marks. Five students were ranked between student who scored 64 marks and Sumit. Manish was ranked immediately above Puneet and but scored fewer marks than Puneet. Karan was not ranked immediately above or below Ramesh. Three students were ranked between Karan and Naveen. Karan was ranked above Naveen.
