CAT 1995 | Question: 153

Question

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.

What proportions of female students are good?

• A. $0$
• B. $0.25$
• C. $0.5$ 
• D. $1.0$

Answer 1

		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{The proportion of good female students =}} $ $\color{purple}{\dfrac{8}{32} = 0.25}$

Comments

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

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Proportion of female students that are good = Good female students / no. of female students

                                                                                = 8/32 = 0.25