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Using Euclid's division lemma, if the cu...

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`

Text Solution

Verified by Experts

The correct Answer is:
`(1)`
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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

  • When 2^(1505) is divided by 9, the remainder is

    A
    8
    B
    7
    C
    5
    D
    6

  • The product of r consecutive positive integers is divisible by

    A
    r!
    B
    (r-1)!
    C
    (r+1)!
    D
    `r^(r ) `

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