IBM Company Numerical Ability Algebra

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)

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IBM Other Question

If the following statements are given

@(a,b)= (a+b)/2
/(a,b)= a/b
*(a,b)= ab
If a=1, b=2 then find

i) /(a,(@(a,b),*(a,b)))

ii) */(a,@(*(a,b)))
Three persons A,B,C are waiting for Train.A has to wait for sometime twice the time b has to wait.B has to wait till 4:48 and c has to wait 4:57. What is the time now?