# TOD

**Directions (1-5): In each of the following questions two equations are given. Solve these equations and give answer:**

**Q1. I. x²+5x+6=0 II. y²+7y+12=0**

if x≥y, ie, x is greater than or equal to y

if x>y, ie, x is greater than y

if x≤y, ie, x is less than or equal to y

if x

x=y or no relation can be established between x and y

**Q2. I. x²+20=9x II. ²+42=13y (a) (b) (c) (d) (e)**

if x≥y, ie, x is greater than or equal to y

if x>y, ie, x is greater than y

if x≤y, ie, x is less than or equal to y

if x

x=y or no relation can be established between x and y

**Q3. I. 2x+3y=14 II. 4x+2y=16**

if x≥y, ie, x is greater than or equal to y

if x>y, ie, x is greater than y

if x≤y, ie, x is less than or equal to y

if x

x=y or no relation can be established between x and y

**Q4. I. x=√625 II. y=√676**

if x≥y, ie, x is greater than or equal to y

if x>y, ie, x is greater than y

if x≤y, ie, x is less than or equal to y

if x

x=y or no relation can be established between x and y

**Q5. I. x²+4x+4=0 II. y²-8y+16=0**

if x≥y, ie, x is greater than or equal to y

if x>y, ie, x is greater than y

if x≤y, ie, x is less than or equal to y

if x

x=y or no relation can be established between x and y

**Directions (6-10): Given below is the pie chart which shows the percentage of students enrolled in different Hobby classes in a school in year 2016**

**Total Enrolled students = 7200**

**Q6. What is the difference between average of number of students enrolled in Dancing and stiching hobby together and average of students enrolled in Painting and cooking hobby together**

160

180

175

165

190

**Q7. If in year 2017 total students who were enrolled in singing and painting increases by 100/3% and 20% respectively, then find the total number of enrolled students in singing and painting in 2017.**

3334

3245

3525

3600

3024

**Q8. What is the ratio of total students enrolled in Dancing and drama together to the 160% of total students enrolled in cooking and painting together.**

85 : 148

80 : 83

33 : 43

11 : 22

11 : 27

**Q9. What is the average of number of students enrolled in Singing, Dancing and Painting together.**

1331

941

1296

1225

1025

**Q10. If total students who are enrolled in painting and Singing together in 2017 are 100/3% more than those enrolled in these two hobby in 2016 and in 2017 total enrolled boys in these hobby are 20% more than enrolled girls in these hobby in 2017. Find number of enrolled girls in 2017**

1320

1225

1520

1580

1440

**Q11. C is 40% less efficient than A. A and B together can finish a piece of work in 10 days. B and C together can do it in 15 days. In how many days can A alone finish the same piece of work?**

18

12

14

20

15

**Q12. In a bag there are 7 red balls and 5 green balls. Three balls are picked at random. What is the probability that two balls are red and one ball is green in colour?**

29/44

21/44

27/44

23/44

19/44

**Q13. A vessel contains 180 litres of a mixture of milk and water in the ratio of 13 : 5. Fifty-four litres of this mixture was taken out and replaced with 6 litres of water. What is the approximate percentage of water in the resultant mixture?**

41

31

24

9

17

**Q14. A sum of Rs 1750 was lent partly at 7% and partly at 11% pa simple interest. The total interest received after 4 years was Rs 706. Find the ratio of money lent at 7% to that lent at 11%.**

4 : 25

7 : 29

11 : 25

8 : 27

13 : 27

**Q15. Kumar purchased 320 kg of rice at Rs 17.60 per kg and mixed it with 160 kg of rice purchased at Rs 16.40 per kg. He wants to earn a profit of Rs 9.45 per kg by selling it. What should be the selling price of the mixture per kg?**

Rs 25

Rs 26.65

Rs 28.45

Rs 25.65

None of these