For any natural number p and q (i) p # q = p 3 + q 3 + 3 and p ∗ q = p 2 + q 2 + 2 and p $ q = | p − q | (ii) Max (p,q) = Maximum of (p,q) and Min (p and q) = Minimum of (p,q)The value of `[(1 $ 2) # (3$ 4)]*[(5 $ 6) # (7 $ 8)]` is :

Options

A. 25
B. 52
C. 36
D. none of these

Answer

B

Explanation

[(1$2)#(3$4)]*[(5$6)#(7$8)] = (1#1)*(1#1) = 5*5 = 52