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?

• A. 4
• B. 5
• C. 3
• D. 6

Answer 1

The correct option is A

4

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 $5^{th}$ 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)