Others Maths Puzzle

Q. A pond has flowers in it each day the flowers in the pond get doubled if the pond gets full on 20th day , on which day the pond will fill half

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Others Other Question

Q. If the following statements are given
(x#y) = x + y - xy

(x*y) = (x + y)/2

i) Find the values of x, y will satisfy this equation (x#y)#(x*y) < (x#y)
ii) Find the values of x, y will satisfy this equation (a*b)#(b*c)< (a#b)*(b*c)
Q. 150 men start a piece of work.After very next day 4 men leave the work. It takes 8 more days than the usual time to complete the work. Find the actual time required to do the work?(I also think some data problem in the question)