QUESTION: Given the sentence "A band playing in the background while a couple of men dance to the music in public." is it true that "The men aren't aware of the band in the background."?

Let's solve it slowly: Either the men dance to the band or they are not aware. They cannot be both aware and unaware of the band simultaneously.
The answer is no.

QUESTION: Can we conclude from "A child wearing black and purple playing baseball." that "A boy is swinging a baseball bat."?
Options:
- yes
- no
- it is not possible to tell

Let's solve it slowly: A child wearing black and purple playing baseball does not necessary that he is swinging a baseball bat.
The answer is it is not possible to tell.

QUESTION: Given the sentence "A child covered with paint sits amid trays of multicolored paint on a surface thoroughly saturated with paint." is it true that "The child is painting."?

Let's solve it slowly:
A child is painting when they have trays of paint and a canvas they have saturated with it.
The answer is yes.