**Dear Aspirants,**

**Directions (1-5): The given Pie chart represents the percentage of failed students in different subjects in Intermediate Annual Exam 2016. **

**Note: **Here ‘total’ as given in graph denotes the percentage of students who are failed in annual intermediate exam in only these subjects given in the graph.

**Q1. If total candidates failed in Intermediate annual exam is only 24% of the total no of candidates appeared for Intermediate half yearly exam, then total no of candidates appeared in Intermediate half yearly exam are approximately how many times the no of candidates failed in Maths section of Annual Exam?**

**Q2. What is the difference between the no of candidates failed in Hindi & Total all subject and no of candidates failed in Maths Subject? **

No. of candidate failed in Math subject = 27 × 1440 = 38,880

Difference = 47,520 – 38,880 = 8,640

**Q3. Total no of candidates failed in Intermediate annual exam is 75% of the no of candidates appeared for same exam. If the students who got honour in the exam will be one-third of the candidates who passed in Intermediate annual exam, then find the number of students who get honoured: **

**Q4. What is the ratio of no of candidates who failed in English and Hindi together to the no of candidates failed overall in Annual exam? **

**Q5. What is the central angle of the candidates who passed in English and Math ?**

**Directions (6-10): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer **

**Q6. I. 14x² + 11x -15 = 0 **

**II. 20y² - 31y +12 = 0 **

**Q9. I. 5x² – 29x + 36 = 0 **

**II. 10y² – 3y – 27 =0 **

**Q10. I. 7x² – 54x + 99 = 0 **

**II. 4y² – 16y + 15 = 0**

**Directions (11-15): What should come in place of the question mark (?) in the following number series? **

**Q11. 1548, 516, 129, 43, ?**

**Q12. 949, 189.8, ?, 22.776, 11.388, 6.8328 **

**Q13. 121, 144, 190, 259, ?, 466**

**Q14. 14, 43.5, 264, ?, 76188 **

**Q15. 41, 164, 2624, ?, 6045696**