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

**Q1. I. 4x² – 8x + 3 = 0**

**II. 4y² + 4y – 3 = 0**

(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.

**Q2. I. x² – 7x + 10 = 0**

**II. y² – 10y + 21 = 0**

(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.

**Q3. I. 2x² – 7x + 3 = 0**

**II. 3y² – y = 0**

(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.

**Q4. I. 20x² + 31x + 12 = 0**

**II. 3y² + 5y + 2 = 0**

(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.

Directions (6-10) :- **The table given below shows the no. of books published by 4 different publishers in 4 months. Study the data and answer the following questions.**

**Q6. What is the average no. of books published by A in all the given months?**

1740

2275

2050

2175

2250

**Q7. Books published by B in February and March together is what percent more/less than that by C in March and April? (approximate)**

21%

24%

16%

12%

27%

**Q8. Find the ratio between books published by C to D in all given months.**

23 : 45

24 : 43

42 : 23

41 : 25

23 : 42

**Q9. Find the revenue obtained by B in March is how much more/less than that by D in same month, if selling price of book is Rs 120 and all books are sold. (Note – cost price and selling price of each book is same for all publishers)**

Rs 50,000

Rs 40,000

Rs 55,000

Rs 70,000

Rs 60,000

**Q11. Tap ‘A’ can fill a cistern alone in 12 hours while another tap ‘B’ alone can empty the tank in 18 hours. If both pipes are opened together and after 3 hours tap ‘B’ is closed then in how much time the tank will be filled?**

(a) 14 hours

(b) 16 hours

(c) 10 hours

(d) 12 hours

(e) 20 hours

**Q12. Three friends run around a circular track can complete a single loop in 24 min, 32 min and 56 min respectively. If they started running from the same initial point then after how much time they will meet together for first time?**

(a) 8.4 hours

(b) 9.6 hours

(c) 11.2 hours

(d) 6.4 hours

(e) 10 hours

**Q13. A man covers half of total distance with 12 km/h and another half distance with 24km/h. Find his average speed.**

(a) 12 km/h

(b) 16 km/h

(c) 10 km/h

(d) 18 km/h

(e) 6 km/h

**Q15. In a zoo, there are 480 deers and ostriches together. If the total number of legs are 1040 then find the number of deers and ostriches respectively.**

(a) 80, 400

(b) 60, 420

(c) 40, 440

(d) 120, 360

(e) 100, 380

**Solutions**