Question
X is the set of all the students for whom the average grade point obtained was more than 3.0. How many students of the set X are there for whom the exact number of subjects in which they obtained a grade point of 5 can be determined?
Answer: Option A
:
A
n(X) = 5
The candidates are X = {D, E, M, O, P}. Except O, for each other students, the information is given for at least 4 subjects. So grade point of 5th subject can be evaluated.
For O, Total grade point in remaining two subjects = 16 - 8 = 8.
There are two ways in which the two other grade points add up to 8 = 5 + 3 = 4 + 4.
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:
A
n(X) = 5
The candidates are X = {D, E, M, O, P}. Except O, for each other students, the information is given for at least 4 subjects. So grade point of 5th subject can be evaluated.
For O, Total grade point in remaining two subjects = 16 - 8 = 8.
There are two ways in which the two other grade points add up to 8 = 5 + 3 = 4 + 4.
Hence for 'O' the same cannot determined. Hence option (a)
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