9. A number when divided by 8 leaves a remainder 3. When the square of the
number is divided by 8, the remainder is:
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So the number will be in form 8y + 3 where y is 0,1,2,3…… . This number has two parts 8y and 3. The first part i.e. 8y ,is completely divisible by 4 as 8 has a factor 4, so the reminder for this part is zero. For the second part as it’s less than 4 reminder will be 3 only. So the reminder is 0+3 which is 3 only and also less than 4
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