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A teacher keeps data on student tabulated by performance and Gender of the Student. The data is on a computer disc but un fortunately some of it is lost due to technical touch . Only the following data could be recovered:

GenderAverageGoodExcellentTotal
Male--10-
Female---32
Total-30--

An expert commille was formed which decide that the following fact were self evident: Half of student's were ether excellent or good. 40% of the student were females. One-third of the male student were average.

How many students are both female and excellent?

Solution

Correct Option: 1

Total students =320.4=80=\frac{32}{0.4}=80. Half are excellent or good, so 4040 students; good =30=30, hence excellent =10=10. All 10 excellent are male, so female excellent =0=0.

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