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Question 1
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:
Question 2
A rectangular garden is 100 m × 80 m. There is a path along the garden and just outside it. Width of the path is 10m. The area of the path is
Question 3
The ratio of weights of two spheres of different materials is 8 : 17 and the ratio of weights per 1 cc of materials of each is 289 : 64. The ratio of radii of the two spheres is
Question 4
The sum of radius of the base of a solid cylinder and the height of the cylinder is 15 cm. If the total surface area of the cylinder is 660 cm2, then find the volume of the cylinder.
Question 5
A tank 40 m long, 30m broad and 12m deep is dug in a field 1000 m long and 30 m wide. By how much will the level of the field rise if the earth dug out of the tank is evenly spread over the field?
Question 6
Two sides of an isosceles triangle are 5 cm and 13 cm. Find the third side:
Question 7
Find the smallest side of a prism of volume 3,600 units if its edges are in the ratio 5:12:13:15.
Question 8
The capacities of two hemispherical bowls are 6.4 litres and 21.6 litres respectively. Then the ratio of their internal curved surface areas will be
Question 9
The radius of the base and the height of a right circular cone are doubled. The volume of the cone will be
Question 10
Radhey can walk along the boundary of a rectangular field and also along the diagonals of the field. His speed is 53 km/h. The length of the field is 45 km. Radhey started from one corner and reached to the diagonally opposite corner in 1 hour. What is the maximum area of the field?
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Jun 22CDS & Defence
