**Directions (1-5): The Bar graph shows the no. of Students (in %) enrolled in two different courses out of three different courses for four different years of ”Career Power” coaching. Study the graph carefully to answer the following questions.**

Total no. of Student=(SSC + Banking +Upsc) Students

**Q1. If total student in 2015 & 2017 are in ratio of 4:5 and the difference between no. of Upsc students in these two years is 180 then find the difference between no. of Banking students in these two years?**

(a) 1218

(b) 1332

(c) 1418

(d) 1224

(e) 1350

**Q2.If total student in 2015 is 8000 and increased at 10% annually for the following years then find in which year the no. of Upsc student was third highest?**

(a) 2016

(b) 2018

(c) 2017

(d) none of these

(e) can’t be determined

**Q3.For how many year the no. of Upsc student is more than the average of the no. of student of the rest two courses?**

(a) 0

(b) 2

(c) 3

(d) 1

(e) None of these

**Q4.If the total no. of students is constant for all the years then find in which year the difference between no. of upsc students and SSC students is second lowest?**

(a) 2015

(b) 2016

(c) 2017

(d) 2018

(e) none of these

**Q5.If the ratio of upsc students in 2015,2017,2018 be 6:3:5 and difference between Banking and SSC students in 2018 Is 300, then find the average no. of SSC students in 2015 and 2017 together?**

(a) 590

(b) 640

(c) 240

(d) 190

(e) 410

**Directions (6-10): In the following questions two equations numbered (I) and (II) are given. You have to solve both equations 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

**Q6.** I. 11x² – 74x + 120 = 0

II. 7y² – 70y + 168 = 0

**Q7.** I. 5x² + 14√6 x+ 54 = 0

II. 7y² – 94y – 165 = 0

**Q8.** I. 9x² – 45x + 44 = 0

II. 4y² – 39y + 90 = 0

**Q9.** I. 3x + 7y = 84

II. 7x + 3y = 76

**Q10.** I. x² – 16x – 105 = 0

II. 2y² + 25y + 77 = 0

**Directions (11 – 15): Each question below is followed by two Statements [I] and [II]. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.**

Give answer

(a) if the Statement [I] alone is sufficient to answer the question but the Statement [II] alone is not sufficient

(b) if the Statement [II] alone is sufficient to answer the question but the Statement [I] alone is not sufficient

(c) if both Statement [I] and [II] together are needed to answer the question

(d) if either the Statement [I] alone or Statement [II] alone is sufficient to answer the question

(e) if you cannot get the answer from the Statements [I] and [II] together but need even more data

**Q12. What is the radius of the circle?**

[I]. Length of a rectangle is 10% more than the breadth. Area of rectangle is 440 cm². Length of rectangle equals to circumference of circle.

[II] .Circumference of circle is equal to side of square having area 484 cm²

**Q13. Ram sold an item. Find the M.P of the item?**

[I]. Ram gave two successive discounts is 20% & 5% on marked price. But after that take 25% more on discounted price as tax. Ram can earn 40 more If he sell the item at MP.

[II] .Ram gave two successive discount of MP i.e., 15% & 20% whereas Ram kept M.P. 50% more than the C.P. of that item.

**Q14. Find the amount invested by Jagriti?**

[I]. If jagriti invested half of the amount in Yes Bank at 5% for 3years and half the amount in Kotak Bank at 6% for 5 year, she got Rs 4500 as Simple Interest.

[II] .Jagriti will get 2420 more if she will invest in a bank at 10% p.a. for 3 year at compound interest rather than 10% p.a. for 2 year in same bank at compound interest

**Q15. What is the weight of Raju?**

[I]. There are four person Raju, Ramesh, Rajan, Rajguru. Average of weight of these four is 51.25. Average weight of Rajan and Rajguru is 47.5. Average weight of Ramesh & Rajguru is 57.5.

[II]. In a class of 50 students having 30 kg as average weight If one students of weight 30 kg is replaced by Rajan then the average increases by 0.4.

**Solutions**