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When a positive integer is divided by 3...

When a positive integer is divided by 3
What are the possible remainders?

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When a positive integer is divided by 3 In which form can it be written ?

Find all positive integers which when divided by 3 leaves remainder 2.

Knowledge Check

  • Using Euclid’s division lemma, if the cube of any positive integer is divided by 9 then the possible remainders are

    A
    0, 1, 8
    B
    1,4,6
    C
    0,1,3
    D
    1,3,5
  • Using Euclid's division lemma, if the cube of any positive integers is divided by 9 then the possible remainders are ___.

    A
    `0, 1, 8`
    B
    `1, 4, 8`
    C
    `0, 1, 3`
    D
    `1, 3, 5`
  • If x^(51) +51 is divided by x+1 , then the remainder is

    A
    0
    B
    21
    C
    49
    D
    50
  • Similar Questions

    Explore conceptually related problems

    When the positive integers a, b and c are divided by 13 the respective remainders are 9, 7 and 10. Find the remainder when a+2b+3c is divided by 13.

    When the positive integer a, b, c and are divided by 13 the respective remainders are 9, 7 and 10. Find the remainder when a+2b+3c is divided by 13.

    When the positive integers be a, b and c divided by 13, the respective remainders are 9, 7 and 10. Show that a+b+c is divided by 13.

    A positive integer when divided by 88 gives the remainder 61. What will be the remainder when the same number is divided by 11?

    A positive integer when divided by 88 gives the remainder 61. What will be the remainder when the same number is divided by 11?