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Haryana Police Constable Model Paper 1

Question : 29 of 100

Marks: +1, -0

7^{2020}

is divided by 5?

Solution:

Given:

7^{2020} \text{ is divided by 5 }

Concept Used:

For a number to be divisible by

5

it should end with either

0 \text{ or } 5

\text{Calculation:}

7^{1} \rightarrow

\text{Ends with 7}

7^{2} \rightarrow

\text{Ends with 9}

7^{3} \rightarrow

\text{Ends with 3}

7^{4} \rightarrow

\text{Ends with 1}

7^{5} \rightarrow

\text{Ends with 7}

\text{The last digit gets repeated for every interval/cycle of 4}

\Rightarrow 7^{2020} = \left(7^{4}\right)^{505} = (1)^{505} \rightarrow

\text{Ends with 1}

\therefore

\text{the required remainder when}

$ $

7^{2020}

is divided by 5 is

1

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