Directions (1-5): The following table shows the total no. of students studying in five different colleges and ratio of boys and girls in that. Table also shows the percentage of students who are involved in sports also. Study table carefully to answer the following questions.
Q1. Find the total no. of students who are involved in sports also from collages P, R and T together.
Q2. Total no. of boys from collage Q is how much percent more or less than the total no. of girls from the college S?
Q3. What is the average no. of students from colleges P, Q and R together who are involved in sports also?
Q4. What is the difference between total no. of boys and total no. of girls from colleges R and S together?
Q5. If 20% and 25% students of collages P and T respectively, out of those who are involved in sports also, are sent to a state level game then find the no. of sport students form these colleges who are not sent for the state level games.
Directions: (6 –10): In the following questions two equations in x and y are given. You have to solve both the equations and give the answer
Q6. I. 4x² – 9x + 2 = 0
II. 3y² – 7y + 2 = 0
Q7. I. 7y² + 19y – 26 = 0
II. x² – 36x + 288 = 0
Q8. I. 6x² + 13x + 5 = 0
II. 2y² – 8y – 24 = 0
Q9. I. 22x² – 27x + 8 = 0
II. 12y² – 48y + 36 = 0
Q10. I. y² + 42y + 432 = 0
II. x² + 38x + 352 = 0
Q11. A merchant has 88 kg of sugar, a part of this he sells at 10% gain and rest at the loss of 12%. Overall, he loses 3%. What is the quantity he sold at 12% loss?
Q12. A jar has 40 litre milk. From the jar, 8 litres milk was taken out and replaced with an equal quantity of water. If 8 litres of the newly formed mixture is taken out of the jar, then what is the final quantity of milk left in the jar?
Q13. 9 litres are drawn from a cask full of water and it is then filled with the same quantity of milk. 9 litres of mixture are drawn again and the cask is again filled with the same quantity of milk. The quantity of water now left in the cask to that of milk in it is 16 : 9. Find the capacity of the cask?
Q14. Kumar purchased 320 kg of Rice at the rate of 17.60/kg and mixed it with 160 kg of rice purchased at the rate of 16.40/kg. He wants to earn a profit of Rs. 9.45 per kg by selling it. What should be the selling price of the mix. per kg?
Q15. A vessel of 70 l is filled with milk and water. 75% of milk and 25% of water is taken out of the vessel. It is found that the vessel is vacated by 60%. Find the initial quantity of water.