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Remainder when 7^{100} is divided by 25 is

  • Option 1)

    1

  • Option 2)

    24

  • Option 3)

    18

  • Option 4)

    None of these

 

Answers (3)

best_answer

As learnt in concept

Expression of Binomial Theorem -

\left ( x+a \right )^{n}= ^{n}\! c_{0}x^{n}a^{0}+^{n}c_{1}x^{n-1}a^{1}+^{n}c_{2}x^{n-2}a^{2}x-----^{n}c_{n}x^{0}a^{n}

 

- wherein

for n  +ve integral .

 

 7^{100}=(7^{2})^{50}

=(49)^{50}

=(50-1)^{50}

=(1-50)^{50}

=1-_{C_{1}}^{50}(50)^{1}+_{C_{2}}^{50}(50)^{2}-----------------------------

=1-50 \lambda

Reminder =1


Option 1)

1

This is correct option

Option 2)

24

This is incorrect option

Option 3)

18

This is incorrect option

Option 4)

None of these

This is incorrect option

Posted by

divya.saini

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Option 1

Posted by

Neha

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1

Posted by

Vinod Kumar

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