Q1. The average marks of the girls in a class is equal to the number of boys and the average marks of boys is equal to the number of girls. If the average marks of class is 4 less than the average of both the boys’ and the girls’ average marks, what will be the number of students in the class ?
Q2. I was born 30 years after my father was born. My sister was born 25 years after my mother was born. The average age of my family is 26.25 years right now. My sister will get married 4 years from now and will leave the family then the average age of the family will be 107/3 years. What is the present age of my father?
Q3. A shopkeeper purchases his goods at a discount of 10% on the list price. He normally gives a discount of 6% to his customers on the original listed price. If during a special scheme, the shopkeeper gets an additional discount of 2% on his purchase price, find his approximate profit percentage.
Q4. Alok, Mithilesh and Bimlesh started a work and after completing 1/5th of the work Bimlesh left. Alok and Mithilesh then worked for 20 days. Bimlesh then took over from Alok and Mithilesh and completed the remaining portion of the work alone in 12 days. If Bimlesh takes 40 days to complete the work alone, in how many days would Alok alone or Mithilesh alone complete the work if the efficiencies of both of them are same?
Q5. A man can row a distance of 2 km upstream in 15 minutes and returns the same distance in 10 minutes. How much time will he take to row the same distance upstream if due to a tide the speed of the current gets doubled ?
Directions (6-10): Two equations (I) and (II) are given in each question. On the basis of these equations, you have to decide the relation between x and y and give answer
Q6. I. 5x² - 87x + 378 = 0
II. 3y² - 49y + 200 = 0
Q7. I. 10x² - x - 24 = 0
II. y² - 2y = 0
Q8. I. x² - 5x + 6 = 0
II.2y² - 15y + 27 = 0
Q9. I. 3x + 2y = 301
II. 7x - 5y = 74
II. 7x – 5y = 74
Multiplying eq. (I) by ‘5’ and (II) by ‘2’ then adding
29x = 1653
⇒ x = 57 and y = 65
⇒ y > x
Q10. I. 14x² - 37x + 24 = 0
II. 28y² - 53y + 24 = 0
Directions (11-15): Refer to the bar graph and answer the given questions.
Total number of watches (sports watches and luxury watches) sold by 8 stores in 2004= 56000
Total of number of sports watches sold by 8 stores in 2004 = 32000
Q11. Total number of luxury watches sold by stores Titan and Sonata together is by what per cent less than total number of watches (sports watches and luxury watches) sold by stores Rolex and Sonata together ?
Q12. The number of watches (sports watches and luxury watches) sold by store Casio is by what per cent more than total number of sports watches sold by stores Titan, Rolex and Gucci together ?
Q13. What is the respective ratio between total number of sports watches sold by stores Timex and Fast Track together and total number of watches (sports and luxury) sold by stores Titan and Rolex together ?
Q14. What is the average number of luxury watches sold by stores Timex, Casio, Fcuk, Rolex and Sonata together ?
Q15. If the number of watches sold by stores Timex, Casio, and Fcuk increased by 10%, 35% and 15% in each type (sports and luxury) respectively from 2004-05, what was the total number of luxury watches sold by these three stores in 2005 ?