There parents are quite cautious for them, they might be thinking that allowing their children to go out alone is not safe as well as if they will allow them once they will ask for it again & again and their most of the time would be wasted in cinema hall.
They can persuade them ensuring that they would come home on time and would study more and more. 
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They might think that you are going to cinema because you want to meet that person whom your parents don't know
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