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Question

If 1 is subtracted from each even digit of the number 97145286, find the sum of the digits that are repeated more than once in the new number thus formed.

This question was previously asked in
RRB NTPC 2024 CBT 1 Question Paper (28-Aug-2025) (Shift 3)
The correct answer is
13

Follow these steps to find the sum of repeated digits:

Original Number Analysis

The original number given is 97145286.

Identifying Even Digits

First, identify the even digits in the number 97145286. The even digits are 4, 2, 8, and 6.

Digit Transformation

Next, subtract 1 from each of these identified even digits:

  • $4 - 1 = 3$
  • $2 - 1 = 1$
  • $8 - 1 = 7$
  • $6 - 1 = 5$

Forming the New Number

Now, replace the original even digits (4, 2, 8, 6) with their new values (3, 1, 7, 5) in the number 97145286:

  • Original: 9 7 1 4 5 2 8 6
  • New: 9 7 1 3 5 1 7 5

The new number formed is 97135175.

Finding Repeated Digits

Examine the digits in the new number 97135175 to find which ones appear more than once:

  • The digit 9 appears once.
  • The digit 7 appears twice.
  • The digit 1 appears twice.
  • The digit 3 appears once.
  • The digit 5 appears twice.

The digits repeated more than once are 7, 1, and 5.

Calculating the Sum

Finally, calculate the sum of these repeated digits:

Sum = $7 + 1 + 5 = 13$.

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Important Questions from Number Arrangement

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  5. If 1 is added to each odd digit and 2 is subtracted from each even digit in the number 3842675, how many digits will appear more than once in the new number thus formed?

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