For better understanding see this : https://aptitude.gateoverflow.in/4169/cat1995-151

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The following table gives data of some students. However, some data has been spoilt and cannot be read on the computer floppy

It is also known that:

1. Half the students were either excellent or good.

2. 40% of the students were females

3. One-third of the male students were average. Based on the above answer the following questions.

How many students are both male and good?

- 10
- 16
- 22
- 48

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Performance | Total | |||
---|---|---|---|---|

Average | Good | Excellent | ||

Male | $\color{blue}{16}$ | $\color{blue}{22}$ | 10 | $\color{blue}{48}$ |

Female | $\color{blue}{(40-16) = 24}$ | $\color{blue}{8}$ | -- | 32 |

Total | $\color{blue}{40}$ | 30 | $\color{blue}{10}$ | $\color{blue}{80}$ |

$∴ \color{green}{\text{There are}}$ $\color{red}{22}$ $\color{green}{\text{male students who are good.}}$

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