Technothlon 2014 Question 9

Logic Level 4

Let Technometics be an arithmetic in which there are just 55 digits (0,1,2,3,4), which are as follows-

00 may represent 00 or 55,
11 may represent 11 or 66,
22 may represent 22 or 77,
33 may represent 33 or 88,
44 may represent 44 or 99.

For example- If 14301430 is a number in Tehnometics, it can denote 1616 different numbers in normal number system, some of which are 64806480, 19351935, 14851485, etc. But a number in normal number system can have only one Technometical representation.

In a book of Technometics, Aniket finds a question which says,

"Given that 10412=23241311041^2=2324131, and 22212=22011212221^2=2201121, find the Technometric value of BAB-A, where AA and BB are the normal representations of 1041 and 2221 respectively."

What is the answer?

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