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1akash

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  1. Hello, This is the first of the many posts to come. I am weaker especially when it comes to math. I got the questions from a friends study material; it comes with an answer explanation which I don't seems to grasp! Question>When a number is divided by 4 the remainder is 3. What will be the remainder when the square of the number is divided by 4. Answer> The number will be given by 4n-1. The square of this number is 16n^2-8n+1. The remainder when this number is divided by 4 is 1. What I have tried> Number = Quo*4 + 3......(eq1) Therefore, Number^2 = (Quo*4 + 3)^2 = 16*Quo^2+24*Quo+9...............(eq2) Divide this eq2 by 4 we get quotient = 4Quo^2+6*Quo+2 with a remainder of 1. I believe I have done this correctly but I still want to know whats with the author's explanation. Thank you.
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