The correct option is: (a) ΔE = W ≠ 0, q = 0
Explanation:
The mathematical form of first law of thermodynamics : q = ΔE + W
Since the system is closed and insulated, q = 0
Paddle work is done on system.
. .. W ≠ 0.
Temperature and hence internal energy of the system increases
. .. ΔE ≠ 0.