Two outlets of the same capacity when opened together can empty a full tank of volume 3000 cu.m in 24 hr. If the tank is going to be filled by a tap at the rate of 300 cu.m/hr, what is the least number of additional outlets (which have the same capacity as the former outlets) that have to be opened, so that the tank never overflows?

Anne, Bet and Corr are three bees that start from the same flower and fly away in three different directions in search of nectar. After some time Corr is as distant from the mid point ‘D’ of the straight line joining Anne and Bet as Anne is from D. Anne and Bet are 300m apart while Bet is 180 m from Corr. At this instant Anne sends a distress signal which is received simultaneously by the other two bees. If a bee can fly at a speed of 3 m/sec then who among Bet and Corr can reach Anne quicker and by how many seconds?

Two spinning machines A and B can together produce 3,00,000 m of cloth in 10 hour, if machine B alone can produce the same amount of cloth in 15 hour, then how much cloth can machine A produce alone in 10 hour?