Question

there is a remainder of 3 when a number is divided 6 what will be the remainder if the square of the same number is divided by 6
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Answer 1

Answer:

Let the no. be X.

Then x will be in the form of 6n+3, where n is any whole no. Eg. if n=0; X=3, n=1; X=9 …..and so on. And each no. When divided by 6 gives a reminder 3.

X^2=(6n+3)^2

X^2=(6n)^2+ (3)^2 +(2×6n×3)

Now 6n^2 is divisible by 6, reminder when divided by 6 is 0

3^2 when divided by 6 gives reminder 3.

2×6n×3 is divisible by 6, reminder when divided by 6 is 0

Adding all the reminders 0+3+0=3.

Hence, Ans= 3.

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Answer 2

Answer:

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Step-by-step explanation:

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