MBA Exam

I know its easy bt i dont know how to find min max values for such odd equations.....So pls explain approach........

1) 2
2) 4.2
3) 3.6
4) 5
5) 4

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MBA Other Question

1729 ^ 17280 divided by 1001, find the remainder

1) 1
2) 364
3) 728
4) 546
There are infinite number of containers each of capacity 1 L numbered A0, A1, A2, ... A∞. A0 contains 1L alcohol while the other containers are empty. In first operation, half of the contents of A0 are poured in A1 and then water is added to A0 to fill it to the brim. In the 2nd operation, half of the contents of A0 are equally distributed in A1 and A2 and again water is poured in A0 to fill it up. Subsequently, in (n+1)th operation, half of the contents of A0 are distributed equally in A1, A2, ......, A2n and A0 is filled with water after that. What is the final concentration of alcohol (approx.) in A1 after infinite number of such operations?

1) 62%
2) 66%
3) 75%
4) 80%
5) 60%