Directions (31-36) : Study the table and answer the given questions.
Total number of students in 4 different schools and percentage of students participating in Dance and Play in 4 different classes
| Class | Total Students | Percentage of students
Participating | | VI | 500 | 15 | 8 | | VII | 400 | 10 | 6 | | VIII | 360 | 25 | 10 | | IX | 250 | 10 | 12 |
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31). What is the ratio of students participating in Dance from Class VII and IX together to the students participating in Play from Class VI and VIII together?
| A). 43 : 53 |
| B). 65 : 76 |
| C). 44 : 57 |
| D). 63 : 71 |
| E). 62 : 77 |
|
32). What is the average of students in Play from all the classes ?
| A). \( \Large 32\frac{1}{2} \) |
| B). \( \Large 34\frac{1}{2} \) |
| C). \( \Large 27\frac{1}{2} \) |
| D). \( \Large 35\frac{1}{2} \) |
| E). \( \Large 30\frac{1}{2} \) |
|
33). Students who are participating in Dance from Class VII are what percent more or less than students who are participating is Play from Class IX ?
| A). \( \Large 12\frac{2}{7} \)% |
| B). \( \Large 14\frac{2}{7} \)% |
| C). \( \Large 33\frac{1}{3} \)% |
| D). \( \Large 16\frac{2}{3} \)% |
| E). \( \Large 66\frac{2}{3} \)% |
|
34). What is the sum of students who do not participate in Dance and Play from Class VI and IX together?
| A). 720 |
| B). 480 |
| C). 620 |
| D). 580 |
| E). Other than those given as options |
|
35). If 20% of students who participate in Dance from Class VI also participate in Play then find the ratio of students from Class VI who participated only in Dance to students participated only in Play ?
| A). 25 : 16 |
| B). 16 : 25 |
| C). 19 : 20 |
| D). 20 : 19 |
| E). 12 : 5 |
|
36). Students participating in Dance from Class VII is what percent of students participating in Play from Class IX ?
| A). \( \Large 33\frac{1}{3} \) |
| B). \( \Large 120\frac{2}{7} \) |
| C). \( \Large 114\frac{2}{7} \) |
| D). \( \Large 133\frac{1}{3} \) |
| E). \( \Large 116\frac{2}{3} \) |
|
Directions (37-41) : In these questions, two equations numbered . I and II are given. You have to solve both the equations and choose the appropriate answer.
Give answer :
(1) If \( \Large x \ge y \)
(2) If \( \Large x > y \)
(3) If \( \Large x \le y \)
(4) If \( \Large x < y \)
(5) If x = y or relationship between x and y cannot be established |
37). I.\( \Large x^{2} - 5x + 6 = 0 \)
II.\( \Large 3y^{2} + 3y - 18 = 0 \)
| A). If \( \Large x \ge y \) |
| B). If \( \Large x > y \) |
| C). If \( \Large x \le y \) |
| D). If \( \Large x < y \) |
| E). If x = y or relationship between x and y cannot be established |
|
38). I. \( \Large x^{2} - 11x + 30 = 0 \)
II. \( \Large y^{2} - y - 20 = 0 \)
| A). If \( \Large x \ge y \) |
| B). If \( \Large x > y \) |
| C). If \( \Large x \le y \) |
| D). If \( \Large x < y \) |
| E). If x = y or relationship between x and y cannot be established |
|
39). I. \( \Large 2x^{2} + 2x - 4 = 0 \)
II. \( \Large y^{2} - 5y + 4 = 0 \)
| A). If \( \Large x \ge y \) |
| B). If \( \Large x > y \) |
| C). If \( \Large x \le y \) |
| D). If \( \Large x < y \) |
| E). If x = y or relationship between x and y cannot be established |
|
40). I. \( \Large x^{2} + 6x - 16 = 0 \)
II. \( \Large y^{2} - 6y + 5 = 0 \)
| A). If \( \Large x \ge y \) |
| B). If \( \Large x > y \) |
| C). If \( \Large x \le y \) |
| D). If \( \Large x < y \) |
| E). If x = y or relationship between x and y cannot be established |
|
