a) 45

b) 20

c) 48

d) 23

We want to maximize the value of a1, subject to the condition that

(a2+ a3 +⋯….+ a52 )/51 -(a1+ a2 +⋯….+ a52 )/52 = 1

Since a(base52) = 100 and all the numbers are positive integers, maximizing a

Let the average of a

(a2+ a3 +⋯….+ a52 )/51= a

So a

given a

=> a

a

Given a

Hence a

Ans : 23

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