Directions (1-5): **In each of these questions, two equations numbered I and II are given. You have to solve both the equation and give answer**

(a) if x < y

(b) if x ≤ y

(c) if x > y

(d) if x ≥ y

(e) if x = y or the relationship cannot be established

**Q1.**

**I.** 5x²-18x-23=0

**II.** 2y²+17y-19=0

**Q2. I. **7x²+43x+100=8²

**II.** 14y²-3y-2=0

**Q3. **

**I.** (3√3 x)²-30=81x-84

**II.** y²=√(13²-12²)-4

**Q4. ****I.** x²-21√2 x+180=0

**II.** y²+7√3 y-180=0

**Q5. I. **x=4y²-13

**II.** y²+43=100-16y

Directions (6-10): **Given below line graph shows total number of students (Hosteler + Day scholar) in five different years in a college ‘A’ ,also shows total number of Day scholar students. Read the data carefully and answer the questions.**

**Q6. 9/11 th of total hosteler in 2011 and 5/7 th of total hosteler in 2014 appeared in exam. If 60% of appeared hosteler in exam in 2011 & 72% of appeared hosteler in exam in 2014 passed the exam, then find ratio of total day scholar in 2015 to total hosteler passed in 2011 & 2014 together?**

(a) 5 : 7

(b) 5 : 9

(c) 5 : 8

(d) 5 : 6

(e) 5 : 4

**Q7. In 2016 in college A total students are 25% more than previous year, and total students in college ‘B’ in 2016 are 40% more than that of total students in college ‘A’ in same year. If sum of day scholar in the both colleges are 540 and total hostler in college ‘A’ are 20 more than total hostler in college ‘B’ and each hostler annual fee in college ‘B’ in the year 2016 is Rs. 12000, then find total amount hostler paid in college ‘B’(in Rs.)?**

(a) 24,00,000

(b) 22,00,000

(c) 20,00,000

(d) 30,00,000

(e) None of these

**Q8. Sum of total day scholar in the year 2015, 2016 & 2017 is 600 and total hostler in the year 2015 & 2017 together is 100 more than total hostler in the year 2016. If total day scholar in 2016, 2017 is 60% & 70% of total students in college, then find total hostler in 2017 is what percent less than total hostler in 2016?**

(a) 41.25%

(b) 43.75%

(c) 43.25%

(d) 44.75%

(e) 42.25%

**Q9. In college ‘B’ in the year 2012 40% are day scholar and total female day scholar in that year in college ‘B’ is 60% of total hostler in college ‘A’ in the year 2012. If total female day scholar in 2012 is 7.5% of total students in college ‘B’ and 25% of total hostler are female, then find difference between total male hostler and total male day scholar in college ‘B’ in the year 2012?**

(a) 120

(b) 110

(c) 105

(d) 140

(e) 130

**Q10. Average number of hostlers in the given years in college are what percent more than total hostler in the year 2013?**

(a) 1.5%

(b) 2%

(c) 1%

(d) 2.5%

(e) 3.5%

Directions (11-15): **The pie chart given below shows the percentage of students appeared in different schools of same state in year 2015.**

And the table given below shows the percentage of qualified students for different schools of same state in year 2015 and ratio of qualified boys to qualified girls.

**Q11. If unqualified student in school JPC is 2176. Then find the difference between qualified boys and girls in school CCS. **

(a) 92

(b) 144

(c) 72

(d) 128

(e) 115

**Q12. If qualified boys in school NNA is 120. Then qualified girls in school RPS is what percent more than the qualified boys in school NNA ? **

(a) 100%

(b) 200%

(c) 50%

(d) 150%

(e) 80%

**Q13. If the difference of appeared student of school CCS and JPC is 1500. Then find the average number of qualified boys of school RPS, GPS and NNA? **

(a) 275

(b) 250

(c) 325

(d) 225

(e) 260

**Q14. If the student appeared in 2016 of school RPS are 1200 which is 33 1/3% more than those in 2015, and qualified boys in school RPS in 2016 is same as qualified boys in GPS in 2015. Then find the number of qualified girls in RPS in year 2016? [Given that percentage of qualified students in RPS are same in both years]**

(a) 147

(b) 247

(c) 167

(d) 189

(e) None of these

**Q15. If there is another school formed in year 2016 with the name JSS which has number of qualified boys 33⅓% more than the qualified boys in school NNA in year 2015, and number of qualified girls 66⅔% less than qualified girls in school GPS in year 2015. Then find the ratio of qualified boys to qualified girls in school JSS ? [Given that total appeared student in year 2015 is 9000]. **

(a) 7 : 8

(b) 8 : 7

(c) 3 : 8

(d) 8 : 5

(e) None of these

**Solutions**