Girls vs Boys

A boy introduced a girl as the daughter of the son of the mother of his aunt. The girl is boy's:

A committee of 4 boys and 3 girls is chosen from 8 boys and 5 girls. One of the boys is a brother of one of the girls. Probability that both are in the committee is

In a class of 49 students, the ratio of girls to boys is 4:3. If 4 girls leave the class, the ratio of girls to boys would be

If the ratio of boys to girls in a class is B and the ratio of girls to boys is G, then 3 (B + G) is :

The ratio of the number of boys to the number of girls in a school activity is 3:4. There are 18 more girls than boys. If 6 boys quit, what will be the new ratio of the number of boys to the number of girls?

The set of girls in a boys school is :

From 10 boys and 20 girls, a committee of 2 boys and 3 girls is to be formed. In how many ways can this be done if a particular girl is included

From 10 boys and 20 girls, a committee of 2 boys and 3 girls is to be formed. In how many ways can this be done if a particular girl is excluded