If 1 is added to each odd digit and 2 is subtracted from each even digit in the number 5431786, what will be difference between the highest and lowest digits in the number thus formed?
6
Apply the rule digit by digit to 5431786: add 1 to each odd digit, subtract 2 from each even digit.
5 is odd → 5 + 1 = 6; 4 is even → 4 − 2 = 2; 3 is odd → 3 + 1 = 4; 1 is odd → 1 + 1 = 2.
7 is odd → 7 + 1 = 8; 8 is even → 8 − 2 = 6; 6 is even → 6 − 2 = 4.
The new number is 6242864.
Its highest digit is 8 and its lowest digit is 2, so the difference is 8 − 2 = 6.
Hence, the difference between the highest and lowest digits is 6.
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