Others Maths Puzzle

Q. If the following statements are given
I @(a,b)= (a+b)/2
II /(a,b)= a/b
III (a,b)= ab
IV If a=1, b=2 then find

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

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Others Other Question

Q. -1 is divisible by

A. 13
B. 31
C. 5
D. None of these 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)