If x and y are integer, what is the remainder when x^2 + y^2 is divided by 5?
(1) When x-y is divided by 5, the remainder is 1
(2) When x+y is divided by 5, the remainder is 2
let a and b and c are 3 arbitray integers.
and if ==>a/c==>remainder x
and ===>b/c==>remainder is y
==>remainder of (a*b)/c=remainder of a*remainder of b
==>remainder of (a+b)/c=remainder of a+remainder of b
==>remainder of (a-b)/c=remainder of a-remainder of b
so using this clearly we can say that we need both the statement to solve this.
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