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Question

If 1 is added to each odd digit and 2 is subtracted from each even digit in the number 7531468, how many digits will appear more than once in the new number thus formed?

This question was previously asked in
RRB ALP 2025 CBT 2 Wiremen Question Paper (28-Jul-2026) (Shift 2)
The correct answer is
Three

Goal: Determine the count of digits that appear more than once in the new number formed by applying specific rules to the digits of 7531468.

Processing the Digits

The original number is 7531468.

We need to process each digit based on whether it is odd or even:

  • Rule for odd digits: Add 1.
  • Rule for even digits: Subtract 2.

Applying the Transformation Rules

Let's transform each digit:

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

Forming the New Number

Arranging the transformed digits in their original order, the new number is 8642246.

Identifying Repeating Digits

Now, let's count the frequency of each digit in the new number 8642246:

  • 8: Appears 1 time
  • 6: Appears 2 times
  • 4: Appears 2 times
  • 2: Appears 2 times

The digits that appear more than once are 6, 4, and 2.

Counting Repeated Digits

There are three distinct digits (6, 4, and 2) that appear more than once in the new number.

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Similar Questions

  1. If 2 is added to each odd digit and 1 is subtracted from each even digit in the number 2741586, how many digits will appear more than once in the new number thus formed?
  2. Select the number that does NOT belong in the following group.

    71, 73, 77, 79

  3. Select the pair that does NOT belong in the following group.

    (√64,9), (√81,10), (√36,8), (√121,12)

  4. Select the number pair that does NOT belong in the following group.

    (1, 1), (4, 64), (8, 512), (9, 719)

  5. Select the odd term out of the following.

    0.02, 0.020, 2/100, 0.002

  6. Two sets of numbers are given below. In each set of numbers, certain mathematical operation(s) on the first number results in the second number. Similarly, certain mathematical operation(s) on the second number results in the third number and so on. Which of the given options follows the same set of operations as in the given sets? (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) 68 – 136 – 121 – 363; 29 – 58 – 43 – 129
  7. (2, 14, 16), (3, 21, 24), (8, 56, 64), (5, 35, 41)
    The set that does NOT belong to the group is:

  8. Select the set that does NOT belong in the following group of sets.

    (2, 14, 16), (6, 30, 36), (5, 35, 40), (3, 21, 24)
  9. 12 is related to 1730 following a certain logic. Following the same logic, 13 is related to 2199. To which of the given options is 11 related, following the same logic?
    (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

  10. Two sets of numbers are given below. In each set of numbers, certain mathematical operation(s) on the first number result(s) in the second number. Similarly, certain mathematical operation(s) on the second number result(s) in the third number and so on. Which of the given options follows the same set of operations as in the given sets?

    (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding to/subtracting from/multiplying with 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
    6 – 16 – 23 – 32; 7 – 19 – 26 – 35


Important Questions from Number Based

  1. In the following question, four number pairs are given. The number on left side of (-) is related to the number of the right side of (-) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

  2. Select the set in which the numbers are related in the same way as are the number of the following set.

    (3, 7, 58)

  3. Find the odd number/letters from the given alternatives.

  4. Find the odd number/letters from the given alternatives.

  5. Identify the number which is different from the other.

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