CAT 1993 — DILR Question 25
Use the following information:
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 :
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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.
How many students were both female and excellent?
Answer & solution
0
- B
8
- C
16
- D
32
Since 40% of the students were females, i.e., 32 students. Total number of students was 80 and total number of male students was 48. Since half of the students were either excellent or good, (number of average students) = (number of good students + number of excellent students) = 40, number of excellent students = 40 – 30 = 10. As 1/3rd of male students were average, total number of male students that were average = = 16 and hence, total number of male students that were good = (48 – 16 – 10) = 22.
Based on the above revelations, the following table can be drawn:
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Number of students who were both female and excellent = 0.