Lost Data

(CAT 1993)

A professor keeps data on students tabulated by performance and sex of the student . The data is kept on a computer disk, but unfortunately some of it is lost because of a virus. Only the following could be recovered :

Performance Average Good Excellent Total Male 10 Female 32 Total 30 Panic buttons  were pressed but to no avail. An expert committee was formed, which decided that the following facts were self evident:

Half the students were either excellent or good.
40% of the students were females.
One third of the male students were average.

1. How many students were both female and excellent?
(a) 0
(b) 8
(c) 16
(d) 32

2. How many students were both male and good?
(a) 10
(b) 16
(c) 22
(d) 48

3. Among average students, what was the ratio of male to female?
(a) 1 : 2
(b) 2 : 1
(c) 3 : 2
(d) 2 : 3

4. What proportion of female students were good?
(a) 0
(b) 0.25
(c) 0.5
(d) 1.0

5. What proportion of good students were male?
(a) 0
(b) 0.73
(c) 0.4
(d) 1.0

For Answers Click Here.