Aptitude Test

This is the aptitude questions and answers with explanation for various interview, competitive examination and entrance test.

1. Rohan, Sumit and Amit start from the same point and travel in the same direction round a circular garden 12 km in perimeter. Rohan travels at the rate of 6, Sumit at the rate of 5 and Amit at the rate of 212 km/hour. In how many hours will they come together again?
2. Four metal rods of lengths 78 cm, 104 cm, 117cm and 169cm are to be cut into parts of equal length, Each part must be as long as possible. What is the maximum number of pieces that can be cut?
3. A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
4. Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is: