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If 1 is added to each even digit and 2 is subtracted from each odd digit in the number 4568327, how many digits will repeat in the new number?
2
3
1
0
2
Apply the given mathematical rule to each digit individually from left to right, then scan the resulting sequence for any duplicate values.
Apply the given mathematical rule to each digit individually from left to right, then scan the resulting sequence for any duplicate values.
Apply operations to each digit
For the given number 4568327, apply +1 to even digits (4 тЖТ 5, 6 тЖТ 7, 8 тЖТ 9, 2 тЖТ 3) and -2 to odd digits (5 тЖТ 3, 3 тЖТ 1, 7 тЖТ 5).
Form the new number sequence
Substituting the transformed digits in their respective positions yields the new sequence: 5, 3, 7, 9, 1, 3, 5.
Count the repeating digits
In the new sequence 5379135, the digit 5 appears twice (positions 1 and 7) and the digit 3 appears twice (positions 2 and 6). Thus, there are 2 repeating digits.
B: 3 is incorrect because only two distinct digits (5 and 3) repeat. C: 1 is incorrect because more than one digit appears more than once. D: 0 is incorrect because the digits 5 and 3 both repeat in the new number.
A is correct because the transformed number is 5379135, where the digits 5 and 3 both repeat, resulting in a count of 2 repeating digits.
Always write out the complete transformed sequence step-by-step to prevent missing duplicate values during quick exam calculations.
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