Solution:The number of dance auditions given by X or Y does not give the information about who is the better dancer because it does not give any information about the result. So, statement 1 is not sufficient. The number of stage performances given by Y is more than X. So it is clear that the selector has chosen Y over X . So Y is a better dancer than X. So, statement 2 is sufficient . Hence, statement 2 is alone sufficient and while statement 1 alone is insufficient.