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If 2 is subtracted from each odd digit and 1 is added to each even digit in the number 83252769, how many digits will occur more than once in the new
Question

If 2 is subtracted from each odd digit and 1 is added to each even digit in the number 83252769, how many digits will occur more than once in the new number thus formed?

A.

None

B.

Three

C.

Two

D.

One

Correct option is C

The given number is 83252769.

Subtract 2 from each odd digit.

Add 1 to each even digit.

The digits in the number are:

8, 3, 2, 5, 2, 7, 6, 9

Odd digits: 3, 5, 7, 9

Even digits: 8, 2, 2, 6

For odd digits:

3−2=1

5−2=3

7−2=5

9−2=7

For even digits:

8+1=9

2+1=3

2+1=3

6+1=7

After applying the operations, the new digits are: 9, 1, 3, 3, 3, 5, 7, 7

From the new number: 9, 1, 3, 3, 3, 5, 7, 7

3 occurs 3 times.

7 occurs 2 times.

So, the digits that occur more than once are 3 and 7.

Correct answer: 2 digits occur more than once.

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