Multiple Choice Questions on Consider all 3 digit numbers without repetition of digits obtained using three non zero digits which........... for Civil Services Exam (CSAT) Preparation

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Multiple Choice Questions

Consider all 3 digit numbers without repetition of digits obtained using three non zero digits which...........

Math and Mental Ability Number System
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    Consider all 3-digit numbers (without repetition of digits) obtained using three non-zero digits which are multiples of 3. Let S be their sum.

    Which of the following is/are correct?

    1. S is always divisible by 74.

    2. S is always divisible by 9.

    Select the correct answer using the code given below:

    This questions was previously asked in
    Complete-Test, Previous year (2021)
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    1 only

    Incorrect Answer

    2 only

    Incorrect Answer

    Both 1 and 2

    Correct Answer

     Neither 1 nor 2

    Incorrect Answer
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    Explanation:

    Three non-zero digits which are multiples of 3 are: 3, 6, and 9.
    Using these 3 digits, we can make 3!, i.e. 6 three-digit numbers.
    So their sum, S = 369 + 396 + 639 + 693 + 936 + 963 = 3996
    We can see that, S is divisible by both 74 and 9.

    By: Munesh Kumari
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