#DILR-25

In a certain school, there are 300 boys and some girls. Each of them is either short or tall, either overweight or underweight. The number of boys who are tall as well as underweight is maximum possible and is 1/3rd of the students who are tall and underweight. Also, the number of girls who are tall and overweight exceeds the number of boys who are short and underweight by 15. The number of boys who are short and overweight exceeds the number of girls who are short and underweight by 25. Further, the number of girls who are short and overweight exceeds the number of boys who are tall and overweight by 50. Also, each category of students has at least 5 students.

 1)What is the minimum possible strength of this school?
2)What is the maximum possible difference between the students who are tall and the students who are overweight?
3)What is the maximum possible difference between the tall underweight girls and short overweight boys?
4)What is the approximate percentage of students who are both short and overweight if the strength of the class is minimum possible?

Solution-














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