Correct option (A) 0.25 A
Explanation:

The equivalent resistance of the circuit will be 12 ohm.
The current can be found as V/I = 12/12 = 1 ampere
Since, the current divides equally in same resistance.
Hence, the current in AD and BE will be 0.5 ampere each.
Again the current will be divided in two equal parts (0.25) for BE and CF.
Therefore, the current in 4Ω resistor is 0.25 ampere.