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The remainder when 9^(49)+7^(49) is divi...

The remainder when `9^(49)+7^(49)` is divide by 64 is __________

A

24

B

8

C

16

D

38

Text Solution

Verified by Experts

The correct Answer is:
C
(i) `(8+1)^(49)+(8-1)^(49)`
(ii) Use the binomial expansion `(x+y)^(n)+(x-y)^(n)` and simplify
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Knowledge Check

  • The remainder when (2^(54) - 1) is divided by 9 is :

    A
    0
    B
    8
    C
    7
    D
    None of these

  • The remainder when (2^54-1) is divided by 9 is :

    A
    A)0
    B
    B)8
    C
    C)7
    D
    D)none of these

  • The remainder when 8^(1785) is divided by 7 is :

    A
    5
    B
    1
    C
    6
    D
    can't be determined

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