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    Question

    If 2 is added to each odd digit and 1 is subtracted from

    each even digit in the number 8763154, how many digits will appear more than once in the new number thus formed?
    A 4 Correct Answer Incorrect Answer
    B 1 Correct Answer Incorrect Answer
    C 3 Correct Answer Incorrect Answer
    D 2 Correct Answer Incorrect Answer

    Solution

    Original number: 8 7 6 3 1 5 4

    • 8 (even) β†’ 8 βˆ’ 1 = 7

    • 7 (odd) β†’ 7 + 2 = 9

    • 6 (even) β†’ 6 βˆ’ 1 = 5

    • 3 (odd) β†’ 3 + 2 = 5

    • 1 (odd) β†’ 1 + 2 = 3

    • 5 (odd) β†’ 5 + 2 = 7

    • 4 (even) β†’ 4 βˆ’ 1 = 3

    New number: 7 9 5 5 3 7 3

    Frequencies: 7 β†’ 2 times, 9 β†’ 1, 5 β†’ 2, 3 β†’ 2.
    Digits that appear more than once: 7, 5, 3 β€” that's 3 digits.

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