(x−y)^2=4. $\Rightarrow$ (x - y) = 2...........(1)
which is anyways true since x and y are consecutive positive even integers.
Two unknown one equation
Therefore Statement 1) alone cannot determine x and y.
(x + y)^2 < 100
(x + y) < 10...........(2)
Let x = 2b
From (1) , put value of x in (1)
2b - y = 2
y = 2b - 2
Put the value of y in (2)
2b + 2b - 2 < 10
4b < 12
b < 3
This again does not uniquely finds x since 'a' can be either 1 or 2.
Since Statement 1) does not provide any additional information while Statement 2) cannot answer the question
therefore both statements cannot answer the question.
Option B is the Correct Answer.