Question

When integer x is divided by 12, the remainder is 5. What is the remainder when the square of the integer x is divided by 8?
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Answer 1

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$\underline{\large\mathcal\red{solution}}$

X=12q+5

take q=1

x²=17²=289

x²/8. remainder is=1

take q=2

x²=29²=841

x²/8 remainder is =1

take q=3

x²=41²=1681

x²/8 remainder is =1

........so on.....for any positive integer of q

so ur answer is 1

$\underline{\large\mathcal\red{hope\: this \: helps \:you......}}$