# Quantitative Aptitude

1. A club consists of members whose ages are in A.P., the common difference being 3 months. If the youngest member of the club is just 7 years old and the sum of the ages of all the members is 250 years, then the numbers of members in the club are: (25)
2. A metal cube of edge 12 cm is melted and formed into three smaller cubes. If the edges of two smaller cubes are 6cm and 8cm, find the edge of the third smaller cube. (10 cm)
3. A well has to be dug out that is to be 22.5 m deep and of diameter 7m. Find the cost of plastering the inner curved surface at Rs. 3 per sq. meter. (Rs. 1485)
4. Water flows out through a circular pipe whose internal diameter is 2 cm, at the rate of 6 meters per second into a cylindrical tank, the radius of whose base is 60 cm. By how much will the level of water rise in 30 minutes? (5 cm)
5. A ladder 15 m long reaches a window which is 9 m above the ground on one side of a street. Keeping its foot at the same point, the ladder is turned to the other side of the street to reach a window 12m high. Find the width of the street. (21 m)
6. The horizontal distance between two trees of different heights is 60m. The angle of depression of the top of the first tree when seen from the top of the second tree is 45°. If the height of the second tree is 80 m, find the height of the first tree. (20 m)
7. An aero plane flying at a height of 300 metres above the ground passes vertically above another plane at an instant when the angles of elevation of the two planes from the same point on the ground are 60° and 45°,respectively.Thenthe height of the lower plane from the ground, in metres, is: (100√3)
8. A person standing on the bank of river observes that the angle of elevation of the top of a tree on the opposite bank of the river is 60° and when he retires 40 metres away from the tree the angle of elevation becomes 30°.The breadth of the river is: (20 m)
9. A circular grassy plot of land, 42m in diameter, has a path 3.5 m wide running around it on the outside. The cost of gravelling the path at Rs.4 per square metre is: (Rs. 2002)
10. A plot of land in the form of a rectangle has a dimension 240m X 180m.A drain outlet 10m wide is drug all around it(on the outside) and the earth dug all around it is spread over the plot, increasing its surface level by 25cm.The depth of the drain outlet is: (1.227 m)