7.4. A rope was cut into 5 pieces, then some of them were cut into 5 parts each. Then, some of the resulting pieces were again cut into 5 pieces, and this was done several times. Could it result in 2019 pieces?
Answer: No.

Solution. Each cut increases the number of pieces by 4. Therefore, after $n$ cuts, the number of pieces will increase by $4 n$. Thus, after $n$ cuts, the number of pieces will be $1+4 n=2019$, from which $4 n=2018$. But 2018 is not divisible by 4.

Comment. An answer without justification - 0 points.