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Numbers formed from given digits that are divisible by a given number

This type of question, asked 12 times: 2021 Paper 3, 14 Jun 2022, 28 Jun 2022, 26 Jul 2022, 29 Jul 2022, 30 Jan 2023, 1 Feb 2023, 12 Apr 2023, 13 Apr 2023, 15 Apr 2023, 8 Apr 2024, 24 Jan 2026 S1. All 12 questions below, oldest first.

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  1. Question 1

    2021 Paper 3

    90
    The total number of numbers, lying between 100 and 1000 that can be formed with the digits 1,2,3,4,51,2,3,4,5, if the repetition of digits is not allowed and numbers are divisible by either 3 or 5 is

  2. Question 2

    14 Jun 2022

    173
    The number of 7-digit numbers which are multiples of 11 and are formed using all the digits 1,2,3,4,5,71,2,3,4,5,7 and 9 is

  3. Question 3

    28 Jun 2022

    65
    The total number of 5-digit numbers, formed by using the digits 1,2,3,5,6,71,2,3,5,6,7 without repetition, which are multiple of 6, is

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  4. Question 4

    26 Jul 2022

    173
    Numbers are to be formed between 1000 and 3000, which are divisible by 4 , using the digits 1,2,3,4,51,2,3,4,5 and 6 without repetition of digits. Then the total number of such numbers is

  5. Question 5

    29 Jul 2022

    174
    The number of natural numbers lying between 1012 and 23421 that can be formed using the digits 2,3,4,5,62,3,4,5,6 (repetition of digits is not allowed) and divisible by 55 is

  6. Question 6

    30 Jan 2023

    86
    Number of 4-digit numbers (the repeation of digits is allowed) which are made using the digits 1,2,31,2,3 and 5 , and are divisible by 15 , is equal to

  7. Question 7

    1 Feb 2023

    177
    The total number of six digit numbers, formed using the digits 4, 5,9 only and divisible by 6, is

  8. Question 8

    12 Apr 2023

    61
    The number of five digit numbers, greater than 40000 and divisible by 5 , which can be formed using the digits 0,1,3,5,70,1,3,5,7 and 9 without repetition, is equal to

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  9. Question 9

    13 Apr 2023

    174
    Total numbers of 3-digit numbers that are divisible by 6 and can be formed by using the digits 1, 2, 3, 4 , 5 with repetition, is

  10. Question 10

    15 Apr 2023

    61
    The total number of three-digit numbers, divisible by 3 , which can be formed using the digits 1,3,51,3,5, 8 , if repetition of digits is allowed, is:

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  11. Question 11

    8 Apr 2024

    84
    The number of 3-digit numbers, formed using the digits 2,3,4,52,3,4,5 and 7 , when the repetition of digits is not allowed, and which are not divisible by 3 , is equal to

  12. Question 12

    24 Jan 2026 S1

    73
    The number of numbers greater than 5000 , less than 9000 and divisible by 3 , that can be formed using the digits 0,1,2,5,90,1,2,5,9, if the repetition of the digits is allowed, is ____\_\_\_\_