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Using binomial theorem, prove that 6^n-5...

Using binomial theorem, prove that `6^n-5n` always leaves he remainder 1 when divided by 25.

A

1

B

2

C

3

D

4

Text Solution

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The correct Answer is:
A
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Using binomial theorem,prove that 6^(n)-5n always leaves he remainder 1when divided by 25.

Using binomial theorem,prove that 6^(n)-5n always leaves remainder 1 when divided by 25.

Knowledge Check

  • The remainder when 6^(n) -5n is divided by 25 is

    A
    1
    B
    2
    C
    3
    D
    7

  • The remainder when 5^(4n) is divided by 13, is

    A
    1
    B
    8
    C
    9
    D
    10

    • Similar Questions

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    Using binomial theorem, prove that (2^(3n)-7n-1) is divisible by 49, where n in N.

    Let n=640640640643, without actually computing n^2. prove that n^2 leave a remainder 1 when divided by 8

    The remainder when 5^(4n) is divided by 13, is

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