Instructions

What will come in place of the question mark (?) in the following questions ?

Question 5

$$((441)^{\frac{1}{2}}\times 207 \times (343)^{\frac{1}{3}})\div ((14)^2 \times (529)^{\frac{1}{2}})=?$$

Instructions

A school consisting of a total of 1560 students has boys and girls in the ratio of 7:5 respectively. All the students are enrolled in different types of hobby classes, viz: Singing, Dancing and Painting.

One-fifth of the boys are enrolled in only Dancing classes.

Twenty percent of the girls are enrolled in only Painting classes.

Ten percent of the boys are enrolled in only Singing classes.

Twenty four percent of the girls are enrolled in both Singing and Dancing classes together.

The number of girls enrolled in only Singing classes is two hundred percent of the boys enrolled in the same.

One-thirteenth of the boys are enrolled in all the three classes together.

The respective ratio of boys enrolled in Dancing and Painting classes together to the girls enrolled in the same is 2 :1 respectively.

Ten percent of the girls are enrolled in only Dancing classes whereas eight percent of the girls are enrolled in both Dancing and Painting classes together.

The remaining girls are enrolled in all the three classes together.

The number of boys enrolled in Singing and Dancing classes together is fifty percent of the number of girls enrolled in the same.

The remaining boys are enrolled in only Painting classes.

Question 7

Total number of girls enrolled in Singing is approximately what percent of the total number of students in the school ?

Question 9

Number of girls enrolled in only Dancing classes is what percent of the boys enrolled in the same? (rounded off to two digits after decimal)

Question 10

What is the respective ratio of the number of girls enrolled in only Painting classes to the number of boys enrolled in the same ?