**Directions : (1-5) Study the information carefully to answer the questions that follow**

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 per cent of the girls are enrolled in only Painting classes. Ten percent of the boys are enrolled in only Singing classes. Twenty-four per cent of the girls are enrolled in both Singing and Dancing classes together. The number of girls enrolled in only Singing classes is two hundred per cent 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 per cent of the girls are enrolled in only Dancing classes whereas eight per cent 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 per cent of the number of girls enrolled in the same. The remaining boys are enrolled in only Painting classes.

**1.Total number of girls enrolled in Singing is approximately what per cent of the total number of students in the school?**

(1) 37

(2) 19

(3) 32

(4) 14

(5) 26

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

(1) 77 : 26

(2) 21 : 73

(3) 26 : 77

(4) 73 : 21

(5) None of these

**3.Number of girls enrolled in only Dancing classes is what per cent of the boys enrolled in the same?**

(1) 38.67

(2) 35.71

(3) 41.83

(4) 28.62

(5) None of these

**4.What is the total number of boys who are enrolled in Dancing?**

(1) 318

(2) 364

(3) 292

(4) 434

(5) None of these

**5.What is the total number of students enrolled in all the three classes together?**

(1) 135

(2) 164

(3) 187

(4) 142

(5) None of these

**Directions (Q. 6-7) : Study the information given below and answer the questions carefully :**

Ramesh, Dinesh and Ganesh completed a job in 12 days. They worked together for 4 days in which they completed 44% of the total work. But due to unavoidable circumstances Ramesh quits the job at this point. Work done by Dinesh in 3 days is equal to the work done by Ganesh in 4 days.

**6. Find the time taken by the fastest worker to complete the job.**

1) 21.875 days

2) 23.475 days

3) 18.245 days

4) 17.465 days

5) None of these

**7. Find by what per cent the slowest worker is less efficient than the second fastest worker?**

1) 13.54%

2) 12.5%

3) 37.5%

4) 44%

5) None of these

**8. Tap A fills a tank with water in 10 hrs. Tap B fills the same tank with milk in 12.5 hrs. A man who wanted to fill the tank with the mixture starts tap A first in a tank, which already contains 8% milk of its own capacity. After two hours he also starts tap B till the tank gets filled completely. In what proportion should he mix this solution with the other one containing water and milk in the ratio 2 : 3, so that the new solution will contain half milk and half water?**

1) 4 : 5

2) 5 : 4

3) 3 : 7

4) 14 : 15

5) None of these

**9. With the help of the digits 1, 2, 3 and 4 find the sum of all 4 – digits numbers provided that the digits are not repeated.**

1) 66,660

2) 6500

3) 40375

4) 100013

5) None of these

**10. The sides of a triangle are in the ratio of 1/2 : 1/3 : 1/4. If the perimeter is 52cm, then the length of the smallest side is**

1) 9 cm

2) 10 cm

3) 11 cm

4) 12 cm

5) None of these