Capacitors in DC Circuits & RC question from JEE Main 2021 (31 Aug, Shift 1)

Answer: 100

1. Steady state: capacitor draws no current; three $2\ \text{k}\Omega$ in series share 6 V, 2 V each.
2. Capacitor is across the bottom $2\ \text{k}\Omega$: $V = 2\text{ V}$, upper plate at the higher potential.
3. $Q = 50\times2 = 100\ \mu\text{C}$ (positive on the upper plate).