MathDB

Alka finds a number

n

written on a board that ends in

5.

She performs a sequence of operations with the number on the board. At each step, she decides to carry out one of the following two operations:

1.

Erase the written number

m

and write it´s cube

m^3

2.

Erase the written number

m

and write the product

2023m

.
Alka performs each operation an even number of times in some order and at least once, she finally obtains the number

r

. If the tens digit of

r

is an odd number, find all possible values that the tens digit of

n^3

could have had.

6