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Question

If 2 is subtracted from each even digit and 1 is added to each odd digit in the number 6785234, then how many digits will appear more than once in the new number?

This question was previously asked in
RRB ALP 2025 CBT 2 Mechanic Motor Vehicle Question Paper (28-Jul-2026) (Shift 1)
The correct answer is
Two

Transforming the Number Digits

Start with the given number: \(6785234\).

Apply the transformation rules to each digit:

  • Subtract 2 from each even digit.
  • Add 1 to each odd digit.

Step-by-Step Digit Transformation

Let's transform each digit individually:

  • 6 (even): \(6 - 2 = 4\)
  • 7 (odd): \(7 + 1 = 8\)
  • 8 (even): \(8 - 2 = 6\)
  • 5 (odd): \(5 + 1 = 6\)
  • 2 (even): \(2 - 2 = 0\)
  • 3 (odd): \(3 + 1 = 4\)
  • 4 (even): \(4 - 2 = 2\)

Constructing the New Number

Combine the transformed digits to form the new number: \(4866042\).

Identifying Repeated Digits

Now, count the occurrences of each digit in the new number \(4866042\):

Digit Occurrences
4 2
8 1
6 2
0 1
2 1

The digits that appear more than once are 4 and 6.

Counting the Repeating Digits

There are two distinct digits (4 and 6) that appear more than once in the new number.

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Important Questions from Number Arrangement

  1. Six friends A, B, C, D, E and F are sitting in two lines, facing the north. Three persons are sitting in each line. F is sitting in the middle. C is just behind B. D is to the immediate right of E. B is to the immediate left of F. Which three persons are sitting in the same line?

  2. Refer to the following series and answer the question (all numbers are single digit numbers only).

    (Left) 1 2 6 5 6 8 1 5 8 6 9 8 3 3 5 8 9 4 7 8 (Right)

    How many such even digits are there, each of which is immediately preceded by an odd digit and also immediately followed by an odd digit?

  3. Each of the digits in the number 9362145 is arranged in ascending order from left to right. What will be the sum of the digits which are second from the left and third from the right in the number thus formed?

  4. 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?

  5. Refer to the following number and symbol series and answer the question that follows. Counting to be done from left to right only.

    (Left) @ * $ 3 8 9 % + 7 > 6 # < % % ? 6 2 $ / 6 (Right)

    How many such numbers are there, each of which is immediately preceded by a symbol and also immediately followed by a symbol?

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