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When an integer n is divided by 5, the remainder is 3. What is the remainder if 8n is divided by 5?
Given,
When the integer n is divided by 5, the remainder is 3
Let the quotient = k
$$=$$> n = 5k + 3
$$\therefore\ $$8n = 8(5k+3)
$$=$$> 8n = 40k + 24
$$=$$> 8n = 40k + 20 + 4
$$=$$> 8n = 5(8k+4) + 4
It is in the form of dividend = divisor x quotient + remainder
$$\therefore\ $$The remainder when 8n is divided by 5 is 4
Hence, the correct answer is Option C
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