To determine the value of (x y) in the number 653xy, we need to find the conditions under which the number is divisible by 90.

1. Divisibility by 9:
For a number to be divisible by 9, the sum of its digits must be divisible by 9.
In this case, the sum of the digits is 6 + 5 + 3 + x + y = 14 + x + y.
Since 14 is divisible by 9, for the entire expression to be divisible by 9, (x + y) must be divisible by 9.

2. Divisibility by 10:
For a number to be divisible by 10, the last digit must be 0.
In this case, the last digit is y. Therefore, y must be 0 for the number to be divisible by 10.

3. Divisibility by 90:
For a number to be divisible by 90, it must be divisible by both 9 and 10.
From condition 2, we know that y = 0.
From condition 1, we know that (x + y) must be divisible by 9. Since y = 0, (x + y) reduces to x. Therefore, x must be divisible by 9.

Considering both conditions, we can conclude that x must be divisible by 9 and y must be 0 for the number 653xy to be divisible by 90.

Now, let's analyze the answer options:

a) Option 2: x = 2
If x = 2, it is not divisible by 9. Therefore, this option is incorrect.

b) Option 3: x = 3
If x = 3, it is divisible by 9. Additionally, y = 0. Therefore, this option satisfies both conditions and is correct.

c) Option 4: x = 4
If x = 4, it is not divisible by 9. Therefore, this option is incorrect.

d) Option 6: x = 6
If x = 6, it is not divisible by 9. Therefore, this option is incorrect.

e) Option 5: x = 5
If x = 5, it is not divisible by 9. Therefore, this option is incorrect.

Therefore, the correct answer is option 'C' (x y) = 3 0.