Imagine a conveyer belt, with tins placed at regular intervals onto the belt at one end, moving along at a steady rate towards a labelling machine at the far end. A rabbit starts from a tin at the beginning of the belt and steadily jumps from tin to tin, finally jumping off immediately before the labelling machine.
When the rabbit jumps at a rate of one jump per second he arrives at the labelling machine in 20 jumps but if he speeds up and manages two jumps per second he can fit in 32 jumps before the end of the line.
A bought a mobile and sold it to B at a profit of 50%. After some days B sold it back to A at 40% loss,and A then again sold it to C at 30 % profit. what is the overall profit percentage of A ???
There is a solid cone of radius R. A circular hole of radius r is drilled from the centre of its circular base to its tip, along its axis. Find the fraction of the volume of the cone left, If R:r=7:4
Two squares are chosen at random from small squares drawn on a chess board. Find the number of ways in which 2 squares can be chosen such that they have exactly one corner in common?
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During a double marathon, an athlete's speed reduces by half at the end of every hour. However, at the end of every three hours, he is given an energy drink to help him replenish his lost salts. After this he runs at his peak speed. At his peak speed, he can complete the race in 700 minutes. But the cycle of the reduction in speed, and the subsequent increase continues. When does he eventually complete the race if he starts off at his peak speed?