PYQ Vault

Number formed from given digits: probability it is divisible by a given number

This type of question, asked 4 times: 2021 Paper 4, 2021 Paper 6, 2021 Paper 26, 26 Jun 2022. All 4 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2021 Paper 4

    78
    Let AA be a set of all 4-digit natural numbers whose exactly one digit is 7 . Then the probability that a randomly chosen element of A leaves remainder 2 when divided by 5 is:

    Tap an option to check your answer.

  2. Question 2

    2021 Paper 6

    62
    Let A denote the event that a 6 -digit integer formed by 0,1,2,3,4,50,1,2,3,4,5, 6 without repetitions, be divisible by 3 . Then probability of event AA is equal to:

    Tap an option to check your answer.

  3. Question 3

    2021 Paper 26

    71
    A seven- digit number is formed using digit 3,3,4,4,4,5,53,3,4,4,4,5,5. The probability, that number so formed is divisible by 2, is:

    Tap an option to check your answer.

  4. Question 4

    26 Jun 2022

    179
    If the probability that a randomly chosen 6-digit number formed by using digits 1 and 8 only is a multiple of 21 is p, then 96p96p is equal to