Question
On dividing a number by 5. we get 3 as remainder . What will be the remainder when he square of this number is divided by 5?
Answer: Option D
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Let the number be `x` and on dividing `x` by 5 , we get k as quotient and 3 as remainder.
`therefore` `x` = 5k + 3 `rArr` `x^2` = `( 5k + 3 ) ^2` = (25`k^2` + 30K + 9) =5(5`K^2` + 6k + 1) + 4
`therefore` On dividing `x^2` by 5, we get 4 as remainder.
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