There are m blue vessels with known volumes v 1, v2,.... vm, arranged in ascending order of volume, where v1 >
0.5 litre, and vm<1 litre. Each of these is full of water initially. The water from each of these is emptied into a
minimum number of empty white vessels, each having volume 1 litre. The water from a blue vessel is not
emptied into a white vessel unless the white vessels has enough empty volume to hold all the water of the blue
vessel. The number of white vessels required to empty all the blue vessels according to the above rules was n. 1). Among the four values given below, which is the least upper bound on e, where e is the total empty volume in the n white vessels
at the end of the above process?
(1) mv m (2) m(1 – vm) (3) mv1 (4) m(1 – v1) 2)Let the number of white vessels needed be n 1 for the emptying process described above, if the volume of each white vessel is
2 litres. Among the following values, which is the least upper bound on n (1) m/4
(2) smallest integer greater than or equal to n/2
3) n (4) greater integer less than or equal to n/2
