If 2 is added to each odd digit and 1 is subtracted from each even digit in…
2026
If 2 is added to each odd digit and 1 is subtracted from each even digit in the number 2561473, then how many digits will appear more than once in the new number thus formed?
- A.
1
- B.
2
- C.
3
- D.
None
Attempted by 49 students.
Show answer & explanation
Correct answer: B
Step 1: Write down the original number and the conditions.
Original number: 2561473
Conditions: Add 2 to odd digits, subtract 1 from even digits.
Step 2: Apply the conditions to each digit individually.
2 (Even) - 1 = 1
5 (Odd) + 2 = 7
6 (Even) - 1 = 5
1 (Odd) + 2 = 3
4 (Even) - 1 = 3
7 (Odd) + 2 = 9
3 (Odd) + 2 = 5
The new sequence is: 1753395
Step 3: Count the distinct digits that appear more than once.
In the sequence (1, 7, 5, 3, 3, 9, 5):
The digit 3 appears twice.
The digit 5 appears twice.
Thus, exactly two distinct digits appear more than once.
Final Answer: Option 2