kt750 wrote:
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
In such questions for me it is more easier to solve with actual numbers
by seeing the question and reading the options you can easily sense that option A, B, D are wrong (choice will most probably be in between C & E)
Identify numbers for which conditions support
(1) x,y could be 7,6 then remainder will be 0
x,y could be 8,7 then remainder will be 3..not sufficient
(2)x,y could be 8,4 then remainder will be 0
x,y could be 7,5 then remainder will be 4..not sufficient
However on combining we can see that when x,y is 9,8 it passes both the conditions and the remainder is 0
We can check as well
when x,y is 4,3 it passes both the conditions and the remainder is 0
Hence C
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