Refer to the given series and answer the question that follows. All numbers are single-digit numbers only. (Left) 8 7 1 9 3 4 1 2 3 7 5 7 7 8 5 6 6 1 6 3 7 3 5 (Right) How many such even digits are there, each of which is immediately preceded by an even digit and also immediately followed by an even digit?
None
Mark every even digit: positions 1 (8), 6 (4), 8 (2), 14 (8), 16 (6), 17 (6) and 19 (6).
Check the required condition — both neighbours must be even — at each of these positions.
At 6 the neighbours are 3 and 1 (both odd); at 8 they are 1 and 3; at 14 they are 7 and 5; at 16 they are 5 and 6; at 17 they are 6 and 1; at 19 they are 1 and 3.
No position has even digits on both sides, so the count is zero.
Hence, none of the even digits satisfies the condition.
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Important Questions from Number Arrangement
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(Left) 1 2 6 5 6 8 1 5 8 6 9 8 3 3 5 8 9 4 7 8 (Right)
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If 1 is added to each odd digit and 2 is subtracted from each even digit in the number 3842675, how many digits will appear more than once in the new number thus formed?
