CAT 2003 Question Paper (Leaked)

The success rate of moving from written test to interview stage for males in 2003 can be given by 637/60133 and for females in the same year can be given by 399/40763 . We can see that the rate of males is clearly more that that of females. hence statement A is false. 

Now the success rate of moving from written test to interview stage for females in 2002 was 138/15389 and for females in the year 2003 was 399/40763.So the  rate in 2002 is less than that in 2003. . Hence both statements are false.

In 2002, the number of females selected for the course as a proportion of the number of females who bought application forms was 48/19236 and for males was 171/61205. So rate for males was higher than that of female. Hence option A is false.

In 2002, among those called for interview, the success rate for females was 48/138 and for males 171/684. So the rate was higher for females .Both are false.  Hence option D.

The percentage of absentees in the written test among females in 2002 was 3847/19236 and in 2003 was 4529/45292. Thus  percentage of absentees decreased from 02 to 03. Hence statement A is true.

The percentage of absentees in the written test among males in 2003 is 3065/63298 which is clearly less than that of female in 2003. Hence statement b is false . Hence option A.

The rate of growth is the slope of the line. In the second and third months, there is an increase in the slope of the line. After the third month, there is a fall in the slope of the line i.e., the rate of growth is declining. Therefore, option b) is the correct answer.

The rate of growth is the slope of the line.

From the graphs, we can see that the slope of the line is maximum for Geeta (red line) in the first two months. So, option a) is the correct answer.

The rate of growth is the slope of the line. During the third month, Geeta has a negative slope whereas all the others have a positive slope. So, the rate of growth of Geeta is the least. Option a) is the correct answer.

Seeta's growth percentage = (57-50)/50 * 100% = 14%

Geeta's growth percentage = (61-49)/49 * 100% = 24.5%

Ram's growth percentage = (61-52)/52 * 100% = 17.30%

Shyam's growth percentage = (61 - 53.5)/53.5 * 100% = 14.01%

So, Seeta's growth percentage is the least.

The number of people with age less than 40 are at least:

In no of children 0 category => 1 male and 1 female

In no of children 1 category => 1 male and 1 female

In no of children 2 category => 1 male and 1 female

In no of children 3 category => 2 male and 1 female

There are atleast 9 people who have age less than 40.

9 people out of 30 people => 30%

There are atmost 23 people with age greater than 35 . Hence (23/30)*100 = 76.67 . So option C. 

There are atleast 4  respondents that fall into the 35 to 40 years age group (both inclusive) . So 400/30 = 13.333 % . Hence , the percentage of respondents that fall into the 35 to 40 years age group (both inclusive) is at least 13.333%.