Directions (1 -5): Data given below shows number of persons travel in three type of vehicles (car, bus and train) from three cities (X, Y and Z) on a particular day.
• 32% of travelers of city X travel by car. Out of remaining 25% travel by bus and remaining by train. Number of persons who travel by car from city Y is 25% more than the persons travelling by car from city X. Ratio of no. of persons who travel by train from city X to that from city Y is 3 : 4. Total number of persons who travel form city Y is 40% more than that of city X.
• Number of persons who travel by car from city Z is 24% of the person who travel by bus and train together from city Y. Total number of persons who travel from city Z is 62.5% of persons who travel from city X. Number of person who travel from city X by bus and train together is 472 more than no. of person who travel from city Z by bus and train together.
Q1. What will be the minimum number of cars required so that total no. of person who travel by car from city X can travel, if maximum 4 people can sit together in a car?
Q2. Find the difference between the total travellers from city Y to total travellers from city X
Q3. Number of persons who travel by train from city Y is what percent more than number of persons who travel by train from city X.
Q4. Number of person who travel by train from city Z is 20% more than number of person who travel by bus from same city. Find the number of person who travel by train from city Z.
Q5. Find the average number of person who travel by car from all cities together?
Directions (6-10): Calculate the approximate value of given questions:
Q6.
Q11. A hemispherical bowl of radius ‘R’ is melted to form four spheres of radius ‘r’. Find relation between their radii?
Q12.A circle is inscribed in a square. If the difference between area of the square and circle is 262.5 cm², then find the area of the rectangle whose perimeter is same as that of circle while length of rectangle is 20% more than the breadth of rectangle (in cm²)
Q13. 5 inlet pipes (same capacity) can fill a tank in same time in which 3 outlet pipes (same capacity) can empty it. If 2 inlet and one outlet pipe is opened for first minutes and 5 inlet and 2 outlet pipe open for 2nd minute and process continues till tank is completely filled in 30 minutes. Find the time in which 2 outlet pipe can empty the completely filled tank.
Q14. A cylinder whose height is equal to its radius is full of milk. Its milk is poured into a hemi spherical bowl of same radius as of cylinder and remaining milk is poured into another hemi-spherical bowl of same volume as of previous one. What percentage of the volume of second hemispherical bowl remained empty?
Q15. In a house , there is a semicircular corridor, a circular hall and a circular garden. Sum of perimeter of corridor and hall is 102 m.If radius of hall is 50% more than radius of corridor then find area of circular garden, given radius of garden is 300% more than sum of radius of corridor and radius of hall together.