1.Quantity l: If the ratio of three sides of a right triangle is 3:4:5 and the area of triangle is 96 square cm, find the longest side of the triangle.
Quantity Il: Perimeter of circle A is 132 cm and area of circle B is 154 cm2. Find the sum of radius of circle A and circle B.
2. To complete the work while working alone, A, B and C take 15, 12 and 20 days respectively.
Quantity l: Number of days required to complete the work when A, B and C work together, given that C is destroying the work at the same rate at which he was supposed to complete it.
Quantity Il: Number of days required to complete the work when A and B work together at half their capacity and both are replaced by C every alternate day.
3.A, B and C entered into a partnership and invested Rs 2000, Rs 3000 and Rs 4000 respectively. Quantity l: After 4 months A invested Rs 1000 more, B and C both withdrew Rs 1000 each. If the value of B’s share is Rs 7000, what is the profit at the end of the year?
Quantity Il: After 4 months A invested Rs 2000 more and C withdrew Rs 1000. If B’s share is Rs 9000, what is the profit at the end of the year?
4.Quantity l: The radius and height of a cylinder are in the ratio of 7:12. The total surface area of the cylinder is 20900 cm2. What is the sum of the radius and height of the cylinder?
Quantity Il: The volume of a sphere is 310464 cm3. What would be the radius of the hemisphere having radius equal to half of the sphere?
5.Quantity l: A boat can travel 300 km upstream and then downstream in total time of 15 hours. If the speed of the stream is 15 km/hr, then what is the speed of the boat in still water?
Quantity Il: The ratio of speed of boat P and the speed of the stream is 5:1. If the boat can cover 480 km travelling upstream in 12 hours, then what is the sum of the speed of the boat and the stream?
6.Quantity l: M and N can complete a task in 40 days and 25 days respectively while working alone. M works for 10 days and N works for next 5 days. If they continue working in this pattern, then in how many days can they complete the work?
Quantity Il: The sum of number of days taken by A, B and C to complete a work is 90 days while working individually. If the ratio of the number of days taken by A, B and C is 3:5:10, then in how many days can they complete the work while working together?
7.Quantity l: The ratio of the ages of A and B, 4 years ago was 8:5 and the ratio of ages of A and B 10 years from now would be 23:17. What is the sum of the present ages of A and B?
Quantity Il: The average of the present ages of A, B and C is 30 years. A and B are 18 and 6 years elder to C. What is the sum of the present ages of A and B?