A device classifies numbers according to the following criteria. The number must have
(A) The number has five digits
(B) First and last digits are perfect squares.
(C) The middle digit is an odd number and it is an addition of first and last digits.
(D) Second and fourth digits are the difference between first and third digits, third and fifth digits.

Which of the following number could be correct according to the conditions given above?

5 digit number - _ , _ , _ , _ , _

It is given that first and last digit is a perfect square, it can be 0, 1, 4, 9

It is mentioned that middle digit is sum of first and last digits; therefore, 9 cannot be one of the digits.

1) 1 , _ , 1 , _ , 0

2) 1 , _ , 5 , _ , 4

3) 4 , _ , 5 , _ , 1

It is mentioned that the second and fourth digits are the difference between first and third digits, third and fifth digits. Therefore,

1) 1 , 0 , 1 , 1 , 0

2) 1 , 4 , 5 , 1 , 4

3) 4 , 1 , 5 , 4 , 1

Answer is option A.