If 2 is added to each even digit and 1 is subtracted from each odd digit in the number 63145729, then how many digits will appear more than once in the new number thus formed?
Three
Take each digit of 63145729 in turn. Add 2 to even digits and subtract 1 from odd digits.
6 (even) becomes 8. 3 (odd) becomes 2. 1 (odd) becomes 0. 4 (even) becomes 6. 5 (odd) becomes 4. 7 (odd) becomes 6. 2 (even) becomes 4. 9 (odd) becomes 8.
The new number is 82064648.
Now tally each digit: 8 appears twice (first and last), 6 appears twice, 4 appears twice, while 2 and 0 appear once each.
So three digits (8, 6 and 4) appear more than once.
Hence, the number of digits appearing more than once is Three.
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