Discussion

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.

Since we have to minimize the total marks in LRDI section, we will ignore the highest difference in the marks.

For example: We have to increase C’s marks. We can either increase it by 6 marks to take C above E or increase it by 16 marks to take C above H. In the second case increase is very high, hence we will consider only 1st case.

∴ C gets 6 marks in LRDI section.

If H gets 15 marks in LRDI section he will move above F.

While, if D gets 17 marks in LRDI section he will move above A.

Total marks after above changes.

​​​​​​​​​​​​​​

∴ Minimum total marks obtained in LRDI section = 6 + 15 + 17 = 38.

Hence, 38.

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