Q1. The speed of a boat in still water is 8 km/h. If takes 5 hours to go upstream and 3 hours downstream distance between two points. What is the speed of stream?
Q2. Rishabh can swim 27 km upstream in 9/2 hours while 24 km downstream in 2 hours. Speed of boat in steel water is how much percent more than the speed of current?
Q3. The distance between two points A and B is 36 km. A boat goes from point A to point B downstream and returns from point B to point A upstream in 18 hours. If speed of boat in steel water is 6 km/h, then what is the speed of current (in kmph)?
Q4. If the rate of interest is 10% per annum and is compounded half yearly, the principal of Rs. 400 in 3/2 year will amount to
Q5. The simple interest on Rs. 4500 at a certain rate of interest for 4 years is Rs. 3600. Find the compound interest on the same sum at the same rate of interest for one year compounded half yearly.
Directions (6-10): Study the following pie-chart carefully to answer these questions:
Percentage-wise distribution of players who Play Five Different Sports
Total players are equal to 4200, out of which Female Players are equal to 2000
Total Players = 4200
Female Players = 2000
Q6. What is the average number of players (both male and female) who play Football and Rugby together?
Q7. What is the difference between the number of female players who play Lawn Tennis and the number of male players who play Rugby?
=22% of 2000-(13% of 4200-10% of 2000)
=440-[546-200] =94
Q8. What is the ratio of the number of female players who play Cricket to the number of male players who play Hockey?
Q9. What is the total number of the male players who play Football, Cricket and Lawn tennis together?
= (17% of 4200 – 13% of 2000) + (35% of 4200 – 40% of 2000) + (25% of 4200 – 22% of 2000)
= 454 + 670 + 610
= 1734
Q10. The number of male players who play Rugby is approximately what percentage of the total number of players who play Lawn Tennis?
Directions (11-15): In the following questions, there are two equations in x and y.
You have to solve both the equations and give answer
Q11. I. x² – 5x – 14 = 0
II. y² – 16y + 64 = 0
⇒ x² - 7x + 2x - 14 = 0
⇒ x (x – 7) +2 (x – 7) = 0
⇒ (x - 7) (x + 2) = 0
⇒ x = 7, -2
II. y² - 16y + 64 = 0
⇒ (y -8) ² = 0
⇒ y = 8, 8
= y > x
Q12. I. y² – 7y + 12 = 0
II. x² – 9x + 20 = 0
⇒ y² - 4y – 3y + 12 = 0
⇒ (y - 4) (y - 3) = 0
⇒ y = 4, 3
II. x² - 9x + 20 = 0
⇒ x² - 5x – 4x + 20 = 0
⇒ (x - 5) (x – 4) = 0
⇒ x = 5, 4
x ≥ y
Q13. I. 2x² + 11x + 12 = 0
II. 4y² + 13y + 10 = 0
⇒ 2x² + 8x + 3x + 12 = 0
⇒ (x + 4) (2x + 3) = 0
⇒x= -4 , -3/2
II. 4y² + 13y + 10 = 0
⇒ 4y² + 8y + 5y + 10 = 0
⇒ (y + 2) (4y + 5) = 0
⇒ y=-2, -5/4
No relation
Q14. I. 2x + 3y = 4
II. 3x + 2y = 6
Q15. I. 6x² –x – 1 = 0
II. 8y² – 2y – 1 = 0