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The remainder when (11)1011 + (1011)11 is divided by 9 is

Option 1 -

1

Option 2 -

4

Option 3 -

6

Option 4 -

8

0 6 Views | Posted 2 months ago
Asked by Shiksha User

  • 1 Answer

  • P

    Answered by

    Payal Gupta | Contributor-Level 10

    2 months ago
    Correct Option - 4


    Detailed Solution:

    11≡2mod (9)

    (11)1011≡21011mod (9)

    Again 23 ≡ 1 mod (9)

    ⇒ (23)337≡ (−1)337mod (9)

    ∴ (11)1011+ (1011)11≡8  mod (9)

    ∴ Remainder = 8

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