Combination of Capacitors question from MHT CET 2025 (25 Apr, Shift 1)

Answer: (c)

1. Top group: three $C$ in parallel $= 3C$.
2. Bottom group: two $C$ in series $= \frac{C}{2}$.
3. Both groups are between A and B: $C_{AB} = 3C + \frac{C}{2} = 3.5C$.
4. $3.5C = 14\ \mu\text{F} \Rightarrow C = 4\ \mu\text{F}$
5. So the answer is (c) $4\ \mu\text{F}$.