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Q.
Assertion: Insulators do not allow flow of current through themselves. Reason: They have no free charge carriers.
AIIMSAIIMS 1997Semiconductor Electronics: Materials Devices and Simple Circuits
Solution:
In an insulator, the valance band is completely filled and the conduction band is completely empty. There is no charge carriers at all in the conduction band. Moreover as the energy gap Eg $>>KT$, where T is the room temperature, so no electron can jump from the valance band to the conduction band at low temperatures and even at higher temperatures.