**Q1. The difference between the outside and inside surface of a cylindrical metallic pipe, 14 cm long, is 44 cm^2. If the pipe is made of 99 cm^3 of metal. Find the outer radii of the pipe ?**

(a) 2 cm

(b) 2.5 cm

(c) 4 cm

(d) 5 cm

(e) 3 cm

**Q2. Cost price of two transistors is same. One is sold at a profit of 15% and the other for Rs. 1500 more than the first. If the net profit is 30%. Find the cost price of each transistor.**

(a) Rs. 4,500

(b) Rs. 5,400

(c) Rs. 4,800

(d) Rs. 4,600

(e) Rs. 5,000

**Q3. Profit on selling 10 pencils equals selling price of 3 pen. While loss on selling 10 pen equals selling price of 4 pencils. Also profit percent-age equals to the loss percentage and cost of a pencil is half of the cost of a pen. What is the ratio of selling price of pencil to the selling price of a pen?**

(a) 5 : 4

(b) 3 : 2

(c) 4 : 5

(d) 3 : 4

(e) 4 : 7

**Q4. Several litres of honey drawn off a 54 litre container full of honey and equal amount of water added. Again, the same volume of the mixture was drawn off and replaced by water. As a result, the container contained 24 litres of pure honey. How much the honey was drawn off initially?**

(a) 20 litres

(b) 17 litres

(c) 9 litres

(d) 18 litres

(e) 15 litres

**Q5. The simple interest on a sum of money will be Rs. 300 after four years. In the next 6 years principal becomes four times, what will be the total interest at the end of 10th year?**

(a) Rs. 1000

(b) Rs. 750

(c) Rs. 700

(d) Rs. 200

(e) Rs. 800

**Directions (6-10): Study the following table and answer the given questions**

**Given below is the table showing the candidates who appeared for an interview from 5 institutes A, B, C, D and E. There are graduate and post graduate candidates who attended the interview,**

**Note: Total candidates who attended interview = Total post graduate + Total graduate.**

**Q6. Post graduate females who attended the interview from institute D, are by what percent more or less than those from institute B?**

(a) 30%

(b) 40%

(c) 20%

(d) 25%

(e) 28%

**Q7. In village E, half of graduate females have Electrical degree while remaining are Mechanical engineers. The females having mechanical degree of institute E are what percent of post graduate females of same institute ?**

(a) 158 (1/3)%

(b) 158 (2/3)%

(c) 148 (1/3)%

(d) 148 (2/3)%

(e) 154%

**Q8. Find the difference between average number of post graduate candidates from institute C and E together and that of graduate men from institute A and D together ?**

(a) 450

(b) 400

(c) 650

(d) 600

(e) None of these

**Q9. Total post graduate candidates who appeared for the interview from institute D, are by what number more or less than those from institute E ?**

(a) 1150

(b) 1100

(c) 1180

(d) 1120

(e) None of these

**Directions (11-15): In each of these questions, two equations (I) and (II) are given. You have to solve both the 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 no relation can be established between x and y.

**Q11. I**2x² – 25x + 72 = 0

**II**4y² – 12y – 27 = 0

**Q12. I**8x² – 26x + 21 = 0

**II**10y² – 43y + 28 = 0

**Q13. I**x² – 18x + 65 = 0

**II**2y² – 17y + 35 = 0

**Q14. I**7x² – 44x + 45 = 0

**II**7x – 8y = 19

**Q15. I**3x + 7y = 18

**II**9x – 2y = 8

SOLUTIONS

1.B

2.E

3.B

4.D

5.B

6.C

7.A

8.B

9.B

10.D

11.B

12.E

13.B

14.E

15.C

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