The first sentence is good. One small change on the second sentence: All of these children were raised in New York. The last sentence is also good.

A small change to the last sentence would be: The number of emigrants in Europe are increasing day by day. Another small change to the first sentence would be: Did you hit it off with your neighbours?

Thank you Kenny Wong for the examples

The number of emigrants in Europe is increasing day by day The number of emigrants in Europe IS increasing by the day . Both good