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QUESTION: 1

**Directions : (1-5) Study the information carefully**

**Passage:**

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.

**Q.**

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

Solution:

QUESTION: 2

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.

**Q.**

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

Solution:

QUESTION: 3

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.

**Q.**

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

Solution:

QUESTION: 4

**Q.**

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

Solution:

QUESTION: 5

**Q.**

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

Solution:

QUESTION: 6

**Directions (Q. 6-10): In each of the following questions two equations I and II are given. Solve both the equations and give answer**

**1) if x = y or relation can’t be established between x and y**

**2) if x > y**

**3) if x < y**

**4) if x **≥**y**

**5) if x**≤**y**

**Q.**

**I. x ^{2} + 2x - 195 = 0 **

**II. y ^{2} + 30y + 225 = 0**

Solution:

QUESTION: 7

1) if x = y or relation can’t be established between x and y

2) if x > y

3) if x < y

4) if x ≥y

5) if x≤y

**Q.**

** I. x ^{2}- 7x + 12 = 0 **

** II. y ^{2 }- 3y +2 = 0**

Solution:

QUESTION: 8

1) if x = y or relation can’t be established between x and y

2) if x > y

3) if x < y

4) if x ≥y

5) if x≤y

**Q.**

**I. x ^{2} - 8x + 15= 0 **

**II. y ^{2} - 5y + 6 = 0**

Solution:

QUESTION: 9

1) if x = y or relation can’t be established between x and y

2) if x > y

3) if x < y

4) if x ≥y

5) if x≤y

**Q.**

**I. x ^{2} + 9x + 18 = 0 **

**II. y ^{2 }- y - 12 = 0**

Solution:

QUESTION: 10

2) if x > y

3) if x < y

4) if x ≥y

5) if x≤y

**Q.**

**I. 4x ^{2} - 13x + 9 = 0 **

**II. y ^{2} + 3y + 2 = 0**

Solution:

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