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If 1 is added to each odd digit and 2 is subtracted from each even digit in the number 5824963, which of the following digits will be third from the right?
8
10
6
2
8
Identify only the last three digits of the original number and apply the rules to them individually to find the position from the right.
Identify only the last three digits of the original number and apply the rules to them individually to find the position from the right.
Analyze the number and target digits
Original number is 5824963. We need the 3rd digit from the right. The last three digits are 9, 6, 3.
Apply transformation rules
Rule 1: Add 1 to each odd digit. Rule 2: Subtract 2 from each even digit. Target digits: 9 (odd) becomes 9 + 1 = 10; 6 (even) becomes 6 - 2 = 4; 3 (odd) becomes 3 + 1 = 4.
Locate the 3rd digit from the right
The transformed last three digits are 10, 4, 4. The 3rd from the right is 10.
A: 8 is incorrect as the transformed 6 is 4, not 8; C: 6 is the result of the original digit 6 before subtraction; D: 2 is the result of applying subtraction to a different digit in the sequence.
B is correct because the 3rd digit from the right is the digit 9, which becomes 9 plus 1 equals 10 after applying the odd digit rule.
In questions asking for the Nth position from the right, focus only on the last N digits to save time; ignore the digits at the beginning of the number.