A vertical pole, 30 m long, casts a shadow 20 m long on the ground. At the same time, a vertical building casts a shadow 60 m long on the ground. What is the height of the building?
Two inlet pipes A and B can fill an empty cistern in 35 hours and 52.5 hours respectively while Pipe C is an outlet pipe that can drain the filled cistern in 17.5 hours. When the cistern is full Pipe C is left open for an hour, then closed and Pipe A is opened for an hour, closed and Pipe B is opened for an hour. The process continues till the cistern is empty. How many hours will it take for the filled cistern to be emptied?
A tap can fill a tank in 10 hours and another tap can empty the tank in 15 hours. If both the taps are opened together how much time will be taken to fill \( \frac{2}{3} \) of the tank.
Read the given statement(s) and conclusions carefully and select which of the conclusions logically follow(s) from the statement(s).
Statement:
Ram is the eldest of Shyam and Krishna. Krishna is younger to Shyam.
Conclusions:
I. Krishna is the youngest.
II. Krishna is younger to Shyam by 2 years.
