In an examination of 500 marks (5 subjects & 100 marks for each subject), Amit got first class ce

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21 Nov 2009 examination result.

In an examination of 500 marks (5 subjects & 100 marks for each subject), Amit got first class
certificate with 67.8 % . If he got perfect square marks in all the subjects, then what are
the number of possible methods for taking these marks in all the subjects.

OPtion

1) 28
2) 20
3) 4
4) 120
5) 15
6) 12
7) 60
8) 30
9) 32
10) 243

Solution

The possible combination of marks is 49, 64, 64, 81, 81 Total number of methods for providing
81 marks for any 2 subjects out of 5 subjects is 10, then number of methods for providing
64 marks for any 2 subjects out of remaining 3 subjects is 3, then 49 marks is provided
for the last subject. Hence total number of methods are 10*3*1 = 30

Correct Option: 8 Best Solution (0)