**Directions (1-5): Solve the given quadratic equations and mark the correct option based on your answer—**

(a) x > y

(b) x ≥ y

(c) x < y

(d) x ≤ y

(e) x = y or no relation can be established between x and y.

**Q1. I. 3x² – 10x + 8 = 0**

**II. 5y² – 22y + 24 = 0**

**Q2. I. 4x² + 39x + 90 = 0**

**II. 2y² – 3√3 y-15 =0**

**Q3. I. 5x² – 36 = 12²**

**II. y² + 17y + 72 = 0**

**Q4. I. 1.5x² – 10x + 16 =0**

**II. y² = 6y**

**Q5. I. 2x² – 21x + 55 = 0**

**II. 5y² – 46y + 105 = 0**

**Directions (6 – 10): Table given below shows data of five institutes regarding number of girls students, percentage of boys and number of students (boys + girls) under one mentor. Study the data given below carefully and answer the following questions.**

**Q6. Number of mentors in institute D is what percent more/less then number of mentors in institute A?**

(a) 20%

(b) 160%

(c) 80%

(d) 60%

(e) 40%

**Q7. If in institute E, girls students increases by 60% and boys students increases by 35% while number of students under one mentor increases by 20% then how many more mentors are required in institute E?**

(a) No more mentors required

(b) 1

(c) 2

(d) 3

(e) 4

**Q8. Total number of students in institute B and C together is how much more than total number of students in institute D and E together?**

(a) 130

(b) 140

(c) 150

(d) 160

(e) 170

**Q9. Out of total mentors in institute C, 65% are females, then find the number of male mentors in institute C.**

(a) 5

(b) 7

(c) 9

(d) 11

(e) 13

**Q10. Total number of students in another institute F is 15% more than that of in institute D, while number of students under one mentor is 20% more than that of in institute B. Find number of mentors required in institute F.**

(a) 17

(b) 19

(c) 21

(d) 23

(e) 25

**Directions (11-15): Pie-chart given below shows population of two cities travel by five modes of transportation. Study the chart carefully and answer the following question.**

**Note:- Ratio of total population of city A to city B is 5 : 2.**

**Q11. Total number of person travel by bike in city A is 945 more than that of in city B, then find the total number of person who travel by bus in city A and city B together? **

(a) 3010

(b) 3115

(c) 3055

(d) 3085

(e) 3145

**Q12. Number of females travel by car in city B is 25% more than number of males travel by car in city B, which is 25% of number of males travel by car in city A. If total number of person travel by metro in city B is 456, then find the number of females travel by car in city A. **

(a) 570

(b) 1140

(c) 1824

(d) 836

(e) 912

**Q13. If total number of person travel by car from city A and city B together is 582, then total number of person travel by bike and metro together from city A is what percent more than total number of person travel by bike and metro together from city B? **

(a) 37.5%

(b) 50%

(c) 137.5%

(d) 150%

(e) 237.5%

**Q14. If number of person travel by car in city B is 126 more than number of person travel by train in city A, then find the average number of person travel by metro in city A and B together? **

(a) 468

(b) 364

(c) 414

(d) 428

(e) 442

**Q15. Total number of person in city B who travel by metro and train together is how much more than total number of person in city A who travel by train. If it is given that total population of city B is 95 more than total number of person in city A who travel by bike and metro together. **

(a) 13

(b) 15

(c) 17

(d) 19

(e) 21

**Solution:**

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