Answer is (a) 5 mA
The voltage drop across 1 kΩ
= V2 = 15 V

The current through 1 kΩ is
I' = \(\frac{15V}{1\times10^{-3}}\) = 15 x 10-3A = 15 mA
The voltage drop across 250 Ω
= 20 V - 15 V = 5 V
The current through 250 Ω is
I = \(\frac{5V}{250Ω}\) = 0.02 A = 20mA
The current through Zener diode is
I2 = I - I, = (20 - 15)mA - 5mA