If exactly 5 students scored zero marks in LRDI section, what is the maximum possible total marks scored by any student in LRDI section?
Explanation:
Arranging marks in descending order
Difference in marks between consecutively ranked students: E – C = 5 H – E = 10 B – H = 9 F – B = 5 D – F = 15 G – D = 6 A – G = 10
Since rank of all students changed after adding marks of LRDI section, hence C who had least marks in Quant section will not have least overall marks. ⇒ C will definitely get non-zero marks in LRDI section.
If exactly 5 students scored zero in LRDI, it means only 3 students scored non-zero marks in LRDI, one of whom is C.
Maximum total score of all students in LRDI can be 60.
If C gets enough marks in LRDI such that he gets the first rank, ranks of all other students will slip by one position. But for this C needs to score at least 61 marks which is not possible.
Suppose C score just enough to change his own rank i.e., C gets 6 marks in LRDI, while one more student gets 1 mark in LRDI, then the third student can get (60 – 6 – 1 =) 53 marks in LRDI section.
This third student can be H. If H gets 53 marks in LRDI, he will get first rank and ranks of A, G, D, F and B will slip by one position.
∴ Maximum marks scored by a student can be 53.
Hence, 53.
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