Question
A number when divided by 6 leaves a remainder 3.When the square of the number is divided by 6, the remainder is :
Answer: Option D
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Let `x` =6q + 3, Then `x^2`= `( 6q + 3)^2` = 36`q^2` + 36q + 9 = 6(6`q^2` + 6q +1) + 3
Thus , when `x^2` is divided by 6, then remainder = 3.
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