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If 2 is added to each odd digit and 1 is subtracted from each even digit in the number 23584617, how many digits will appear more than once in the new
Question

If 2 is added to each odd digit and 1 is subtracted from each even digit in the number 23584617, how many digits will
appear more than once in the new number thus formed?

A.

Three

B.

None

C.

One

D.

Two

Correct option is A

Given a number: 23584617.
We are to:
Add 2 to each odd digit
Subtract 1 from each even digit
Then, determine how many digits appear more than once in the resulting number.
Step 1: Break down the digits
Digits in the number:
2, 3, 5, 8, 4, 6, 1, 7
Step 2: Apply the transformation
Even digits: 2, 8, 4, 6 → subtract 1
Odd digits: 3, 5, 1, 7 → add 2
So:
2 → 1
3 → 5
5 → 7
8 → 7
4 → 3
6 → 5
1 → 3
7 → 9
Step 3: Transformed number:
Digits after transformation:
1, 5, 7, 7, 3, 5, 3, 9
Step 4: Count frequencies
3 → 2 times
5 → 2 times
7 → 2 times
Step 5: Count digits that appear more than once
Digits: 3, 5, 7 → 3 digits
 Final Answer: A. Three









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