Technothlon 2014 Question 9

Logic Level 4

Let Technometics be an arithmetic in which there are just \(5\) digits (0,1,2,3,4), which are as follows-

\(0\) may represent \(0\) or \(5\),
\(1\) may represent \(1\) or \(6\),
\(2\) may represent \(2\) or \(7\),
\(3\) may represent \(3\) or \(8\),
\(4\) may represent \(4\) or \(9\).

For example- If \(1430\) is a number in Tehnometics, it can denote \(16\) different numbers in normal number system, some of which are \(6480\), \(1935\), \(1485\), 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 \(1041^2=2324131\), and \(2221^2=2201121\), find the Technometric value of \(B-A\), where \(A\) and \(B\) are the normal representations of 1041 and 2221 respectively."

What is the answer?

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