THIS IS A YES/NO Question
Rule for Remainder:
a/b gives remainder c
d/b gives remainder e
(a+d)/b will give remainder (c+e) unless (c+e) becomes a multiple of b
Same for multiplication
Statement 1:
(x-y) divided by 5 gives remainder 1
So,(x-y)^2 will also give remainder 1 when divided by 5
but No Conclusion...INSUFFICIENT
Statement 2:
(x+y) divided by 5 gives remainder 3
So,(x+y)^2 will also give remainder 3 when divided by 5
but No Conclusion...INSUFFICIENT
Combining,
(x+y)^2+(x-y)^2=2(x^2+y^2) will give remainder of (1+3)=4 when divided by 5
So,(x^2+y^2) is not divisible by 5
(C) is the choice
