Question

randall put ___ the light and slept​

Answer 1

randall put ...down... the light and slept

Answer 2

The answer is: Randall put off the light and slept.

Here the word off will be added in the gap so that the sentence gets a viable meaning.

Put off is phrasal verb, which means stopped.

Here put off is used to denote the laying off the light.  

The sentence reads well and the phrasal verb has added a clear meaning to its approach.