Haryana Police Constable Model Paper 1

Question : 29 of 100

Marks: +1, -0

What is the remainder when

7^{2020}

is divided by 5?

Solution:

\Given:

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

\Concept \Used:

For a number to be divisible by

5

it should end with either

0 \or 5

\Calculation:

7^{1} \→

\Ends \with 7

7^{2} \→

\Ends \with 9

7^{3} \→

\Ends \with 3

7^{4} \→

\Ends \with 1

7^{5} \→

\Ends \with 7

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

\⇒7^{2020}=\left(7^{4})^{505}=(1)^{505} \→

\Ends \with 1

\∴

\the \required \remainder \when

7^{2020}

is divided by 5 is

1

Go to Question:

Prev Question

Next Question